Content-Type: multipart/mixed; boundary="-------------0309180503659" This is a multi-part message in MIME format. ---------------0309180503659 Content-Type: text/plain; name="03-424.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="03-424.keywords" percolation, slab, Ising, surface tension, renormalization ---------------0309180503659 Content-Type: application/postscript; name="slab.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="slab.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.90a Copyright 2002 Radical Eye Software %%Title: version5.dvi %%Pages: 33 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMBX12 CMR10 CMCSC10 CMMI10 MSAM10 CMR12 CMMI12 CMMI8 %%+ CMTI10 CMR9 MSBM10 CMSY10 MSBM7 CMMI6 CMR8 CMR6 CMEX10 CMSY8 CMSY6 %%+ CMTI12 EUFM10 EUFM7 MSAM7 CMR7 CMBX10 CMTT10 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips version5 -o slab.ps %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2003.09.17:1722 %%BeginProcSet: texc.pro %! 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 66 /B put dup 69 /E put dup 83 /S put dup 90 /Z put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 78 /N put dup 87 /W put dup 101 /e put dup 104 /h put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 6 /plusminus put dup 15 /bullet put dup 17 /equivalence put dup 26 /propersubset put dup 29 /greatermuch put dup 33 /arrowright put dup 36 /arrowboth put dup 49 /infinity put dup 50 /element put dup 54 /negationslash put dup 56 /universal put dup 65 /A put dup 67 /C put dup 69 /E put dup 70 /F put dup 72 /H put dup 76 /L put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 90 /Z put dup 91 /union put dup 92 /intersection put dup 94 /logicaland put dup 95 /logicalor put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 110 /backslash put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D31FF2B87F97C73D63EECDDA4C49501773468A 27D1663E0B62F461F6E40A5D6676D1D12B51E641C1D4E8E2771864FC104F8CBF 5B78EC1D88228725F1C453A678F58A7E1B7BD7CA700717D288EB8DA1F57C4F09 0ABF1D42C5DDD0C384C7E22F8F8047BE1D4C1CC8E33368FB1AC82B4E96146730 DE3302B2E6B819CB6AE455B1AF3187FFE8071AA57EF8A6616B9CB7941D44EC7A 71A7BB3DF755178D7D2E4BB69859EFA4BBC30BD6BB1531133FD4D9438FF99F09 4ECC068A324D75B5F696B8688EEB2F17E5ED34CCD6D047A4E3806D000C199D7C 515DB70A8D4F6146FE068DC1E5DE8BC5703655D8EE1D9F57423AA35636348148 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 14 /delta put dup 59 /comma put dup 72 /H put dup 76 /L put dup 78 /N put dup 100 /d put dup 113 /q put dup 121 /y put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: MSAM7 %!PS-AdobeFont-1.1: MSAM7 2.1 %%CreationDate: 1992 Oct 17 08:30:29 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSAM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSAM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 54 /lessorequalslant put dup 62 /greaterorequalslant put readonly def /FontBBox{0 -576 1569 1076}readonly def /UniqueID 5032012 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: EUFM7 %!PS-AdobeFont-1.1: EUFM7 2.1 %%CreationDate: 1992 Nov 20 17:36:25 % Euler fonts were designed by Hermann Zapf. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (EUFM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /EUFM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 98 /b put readonly def /FontBBox{0 -250 1193 750}readonly def /UniqueID 5031992 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: EUFM10 %!PS-AdobeFont-1.1: EUFM10 2.1 %%CreationDate: 1992 Nov 20 17:36:20 % Euler fonts were designed by Hermann Zapf. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (EUFM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /EUFM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 74 /J put dup 98 /b put dup 103 /g put readonly def /FontBBox{-26 -224 1055 741}readonly def /UniqueID 5031986 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTI12 %!PS-AdobeFont-1.1: CMTI12 1.0 %%CreationDate: 1991 Aug 18 21:06:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 70 /F put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-36 -251 1103 750}readonly def /UniqueID 5000829 def currentdict end currentfile eexec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%%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 3 /asteriskmath put dup 24 /similar put dup 48 /prime put dup 50 /element put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 3 /asteriskmath put dup 6 /plusminus put dup 15 /bullet put dup 33 /arrowright put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 65 /A put dup 67 /C put dup 80 /P put dup 82 /R put dup 83 /S put dup 102 /braceleft put dup 103 /braceright put dup 110 /backslash put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 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cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 8 /braceleftbig put dup 9 /bracerightbig put dup 12 /vextendsingle put dup 16 /parenleftBig put dup 17 /parenrightBig put dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 26 /braceleftbigg put dup 27 /bracerightbigg put dup 32 /parenleftBigg put dup 33 /parenrightBigg put dup 40 /braceleftBigg put dup 48 /parenlefttp put dup 49 /parenrighttp put dup 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 62 /braceex put dup 64 /parenleftbt put dup 65 /parenrightbt put dup 83 /uniontext put dup 88 /summationdisplay put dup 89 /productdisplay put dup 90 /integraldisplay put dup 91 /uniondisplay put dup 92 /intersectiondisplay put dup 104 /bracketleftBig put dup 105 /bracketrightBig put dup 112 /radicalbig put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF5B8CAC6A7BEB5D02276E511FFAF2AE11910 DE076F24311D94D07CACC323F360887F1EA11BDDA7927FF3325986FDB0ABDFC8 8E4B40E7988921D551EC0867EBCA44C05657F0DC913E7B3004A5F3E1337B6987 FEBC45F989C8DC6DC0AD577E903F05D0D54208A0AE7F28C734F130C133B48422 BED48639A2B74E4C08F2E710E24A99F347E0F4394CE64EACB549576E89044E52 EABE595BC964156D9D8C2BAB0F49664E951D7C1A3D1789C47F03C7051A63D5E8 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cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /Lambda put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 87 /W put dup 101 /e put dup 102 /f put dup 115 /s put dup 116 /t put dup 119 /w put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C 68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361 3645B82392D5CAE11A7CB49D7E2E82DCD485CBA17D1AFFF95F4224CF7ECEE45C BFB7C8C77C22A01C345078D28D3ECBF804CDC2FE5025FA0D05CCC5EFC0C4F87E CBED13DDDF8F34E404F471C6DD2E43331D73E89BBC71E7BF889F6293793FEF5A C9DD3792F032E37A364C70914843F7AA314413D022AE3238730B420A7E9D0CF5 D0E24F501451F9CDECE10AF7E14FF15C4F12F3FCA47DD9CD3C7AEA8D1551017D 23131C09ED104C052054520268A4FA3C6338BA6CF14C3DE3BAF2EA35296EE3D8 D6496277E11DFF6076FE64C8A8C3419FA774473D63223FFA41CBAE609C3D976B 93DFB4079ADC7C4EF07303F93808DDA9F651F61BCCF79555059A44CBAF84A711 6D98083CEF58230D54AD486C74C4A257FC703ACF918219D0A597A5F680B606E4 EF94ADF8BF91A5096A806DB64EC96636A98397D22A74932EB7346A9C4B5EE953 CB3C80AA634BFC28AA938C704BDA8DC4D13551CCFE2B2784BE8BF54502EBA9AF D49B79237B9C56310550BC30E9108BB06EAC755D6AA4E688EFE2A0AAB17F20FE 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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 3 /Lambda put dup 4 /Xi put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 61 /equal put dup 69 /E put dup 78 /N put dup 83 /S put dup 87 /W put dup 97 /a put dup 98 /b put dup 101 /e put dup 102 /f put dup 104 /h put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec 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1041DE9F2AFA2ED9F3D4BE5D7D0C7F325AE26CB1FECC40CCD6A4085515A11F62 26 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 25 /pi put dup 59 /comma put dup 64 /partialdiff put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 96 /lscript put dup 98 /b put dup 100 /d put dup 105 /i put dup 106 /j put dup 107 /k put dup 110 /n put dup 116 /t put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: MSBM7 %!PS-AdobeFont-1.1: MSBM7 2.1 %%CreationDate: 1992 Oct 17 08:30:50 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: MSAM10 %!PS-AdobeFont-1.1: MSAM10 2.1 %%CreationDate: 1993 Sep 17 09:05:00 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSAM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSAM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /square put dup 54 /lessorequalslant put dup 62 /greaterorequalslant put readonly def /FontBBox{8 -463 1331 1003}readonly def /UniqueID 5031981 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 58 /colon put dup 65 /A put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 14 /delta put dup 17 /eta put dup 25 /pi put dup 27 /sigma put dup 33 /omega put dup 39 /phi1 put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 66 /B put dup 72 /H put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 88 /X put dup 89 /Y put dup 96 /lscript put dup 98 /b put dup 99 /c put dup 100 /d put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 112 /p put dup 113 /q put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC 4391C9DF440285B8FC159D0E98D4258FC57892DDF753642CD526A96ACEDA4120 788F22B1D09F149794E66DD1AC2C2B3BC6FEC59D626F427CD5AE9C54C7F78F62 C36F49B3C2E5E62AFB56DCEE87445A12A942C14AE618D1FE1B11A9CF9FAA1F32 617B598CE5058715EF3051E228F72F651040AD99A741F247C68007E68C84E9D1 D0BF99AA5D777D88A7D3CED2EA67F4AE61E8BC0495E7DA382E82DDB2B009DD63 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cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 14 /delta put dup 16 /zeta put dup 17 /eta put dup 22 /mu put dup 25 /pi put dup 27 /sigma put dup 28 /tau put dup 33 /omega put dup 34 /epsilon put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 66 /B put dup 67 /C put dup 70 /F put dup 72 /H put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 83 /S put dup 84 /T put dup 85 /U put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 96 /lscript put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put dup 122 /z put dup 126 /vector put readonly def /FontBBox{-30 -250 1026 750}readonly def /UniqueID 5087386 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMCSC10 %!PS-AdobeFont-1.1: CMCSC10 1.0 %%CreationDate: 1991 Aug 18 17:46:49 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMCSC10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMCSC10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 19 /acute put dup 44 /comma put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 58 /colon put dup 65 /A put dup 67 /C put dup 68 /D put dup 70 /F put dup 73 /I put dup 74 /J put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 122 /z put readonly def /FontBBox{14 -250 1077 750}readonly def /UniqueID 5000772 def currentdict end currentfile eexec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%%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 8 /Phi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 91 /bracketleft put dup 93 /bracketright put dup 94 /circumflex put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 126 /tilde put dup 127 /dieresis put readonly def /FontBBox{-34 -251 988 750}readonly def /UniqueID 5000794 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 4 /Xi put dup 11 /ff put dup 12 /fi put dup 19 /acute put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 89 /Y put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont TeXDict begin 39158280 55380996 1000 600 600 (version5.dvi) @start /Fa 138[44 44 44 44 2[44 44 44 2[44 44 44 44 44 44 44 1[44 44 32[44 17[44 46[{}18 83.022 /CMTT10 rf /Fb 198[48 48 48 48 48 48 48 48 48 48 48[{}10 83.022 /CMBX10 rf /Fc 172[46 16[55 66[{}2 83.022 /MSBM10 rf /Fd 139[26 26 26 2[33 6[37 2[30 13[67 8[49 26[33 33 33 33 6[26 26 40[{}14 58.1154 /CMR7 rf /Fe 186[44 69[{}1 83.022 /CMSY10 rf /Ff 134[45 121[{}1 90.9091 /CMMI10 rf /Fg 193[55 7[55 54[{}2 66.4176 /MSAM7 rf /Fh 157[35 98[{}1 66.4176 /EUFM7 rf /Fi 181[46 74[{}1 83.022 /EUFM10 rf /Fj 152[50 4[51 23[55 74[{}3 99.6264 /EUFM10 rf /Fk 133[40 47 45 65 45 52 32 40 41 45 50 50 55 80 25 45 1[30 50 45 30 45 50 45 45 50 9[97 1[72 70 55 2[66 1[72 87 61 75 1[38 2[64 1[74 70 69 72 6[30 5[50 50 50 50 50 1[30 35 30 2[40 40 27[55 60 11[{}53 99.6264 /CMTI12 rf /Fl 205[42 1[18 23[48 20[32 2[48{}5 49.8132 /CMSY6 rf /Fm 145[35 6[35 35 18[43 60 1[49 12[37 1[56 14[47 71 19 14[71 17[35 8[55 2[35 2[55{}16 66.4176 /CMSY8 rf /Fn 143[100 6[47 47 11[111 111 55 127 144 4[83 17[87 87 1[89 1[89 1[89 1[89 6[87 87 7[80 6[79 79 4[75 75 6[73 73 59 59 3[33 2[58 58 6[46 46{}31 99.6264 /CMEX10 rf /Fo 136[43 2[24 24 12[19 27 13[61 36[30 30 30 4[47 1[24 24 36[41 3[{}13 49.8132 /CMR6 rf /Fp 136[51 1[39 27 28 28 1[39 35 6[39 1[22 31 2[39 35 9[72 3[39 4[53 8[48 7[55 5[35 35 35 35 35 35 35 35 4[55 1[27 27 35[47 49 1[59 1[{}31 66.4176 /CMR8 rf /Fq 139[24 5[38 2[33 25 22 4[32 1[27 1[26 17[48 58 42 51 10[33 4[19 33[36 13[40 11[{}16 49.8132 /CMMI6 rf /Fr 165[44 20[44 2[44 66[{}3 66.4176 /MSBM7 rf /Fs 145[50 3[28 39 39 50 50 6[66 66 1[66 66 72 5[54 60 84 1[69 3[69 3[84 1[72 53 1[52 1[80 8[55 1[0 3[66 100 12[100 2[100 3[100 2[77 8[77 1[50 8[77 3[77 28 77{}35 99.6264 /CMSY10 rf /Ft 193[77 7[77 50[77 3[{}3 99.6264 /MSAM10 rf /Fu 165[66 6[55 13[66 2[66 66[{}4 99.6264 /MSBM10 rf /Fv 170[58 55 43 57 1[52 60 58 70 48 2[28 58 60 50 52 59 55 54 58 7[38 38 38 38 38 38 38 38 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Fj(J)p FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\))1338 425 y Fn(\021)1419 535 y Fs(\000)23 b FA(log)17 b(\010)1731 488 y Fp(f)5 b Fx(;)p Fp(w)1731 570 y Fm(R)1791 551 y Fq(L)1838 570 y Fp(\()p Fx(N)s(;\016)r Fp(\))2010 425 y Fn(\020)2069 535 y Fj(J)p FA(\()p Fy(N)g(;)17 b(\016)t FA(\))2374 425 y Fn(\021)3461 535 y FA(\(3.5\))872 856 y(=)976 761 y Fn(X)986 973 y Fx(b)p Fm(2)p Fp(\004)1136 720 y Fn(Z)1236 746 y Fx(p)1192 946 y Fp(0)1423 788 y Fy(ds)p 1302 833 339 4 v 1302 924 a(s)p FA(\(1)22 b Fs(\000)h Fy(s)p FA(\))1684 655 y Fn(0)1684 835 y(@)1781 752 y FA(\010)1851 705 y Fx(s;)p Fp(w)1851 787 y Fm(R)1911 768 y Fq(L)1958 787 y Fp(\()p Fx(N)s(;\016)r Fp(\))2129 641 y Fn(\020)2189 752 y Fj(J)p FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\))g Fy(!)2572 767 y Fx(b)2605 641 y Fn(\021)p 1781 833 884 4 v 1837 959 a FA(\010)1907 912 y Fx(s;)p Fp(w)1907 994 y Fm(R)1967 975 y Fq(L)2014 994 y Fp(\()p Fx(N)s(;\016)r Fp(\))2185 849 y Fn(\020)2245 959 y Fj(J)p FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\))2550 849 y Fn(\021)2697 856 y Fs(\000)22 b FA(\010)2866 808 y Fx(s;)p Fp(w)2866 890 y Fm(R)2926 871 y Fq(L)2973 890 y Fp(\()p Fx(N)s(;\016)r Fp(\))3145 856 y FA(\()p Fy(!)3244 871 y Fx(b)3278 856 y FA(\))3316 655 y Fn(1)3316 835 y(A)3436 856 y Fy(:)218 1148 y FA(A)m(t)31 b(this)h(stage,)g(a)f(mixing)i(prop)s(ert)m(y)f(is)f (required.)45 b(W)-8 b(e)32 b(in)m(tro)s(duce)g(no)m(w)g(the)g(FK)f (measures)118 1264 y(on)d(the)f(b)s(o)m(x)h Fu(B)659 1279 y Fx(K)756 1264 y FA(=)f Fs(f\000)p Fy(K)r(;)17 b(:)g(:)g(:)f(;)h(K)7 b Fs(g)1430 1228 y Fx(d)p Fm(\000)p Fp(1)1572 1264 y Fs(\002)12 b(f)p FA(0)p Fy(;)17 b(:)g(:)g(:)f(;)h(K)7 b Fs(g)27 b FA(with)h(in)m(tensit)m(y)i Fy(s)e FA(for)f(the)h(b)s(onds) g(b)s(elo)m(w)118 1380 y(the)36 b(b)s(ottom)g(face)g(of)f Fu(B)1018 1395 y Fx(K)1122 1380 y FA(\(i.e.)54 b(the)36 b(b)s(onds)g(in)g Fs(f)p FA(\()p Fy(i;)17 b(i)25 b Fs(\000)20 b Fy(~)-45 b(e)2283 1395 y Fx(d)2324 1380 y FA(\))p Fy(;)114 b(i)2536 1395 y Fx(d)2610 1380 y FA(=)33 b(0)p Fy(;)17 b(i)33 b Fs(2)g Fu(B)3043 1395 y Fx(K)3112 1380 y Fs(g)p FA(\))j(and)f(wired)118 1496 y(b)s(oundary)44 b(conditions)g(at)g(the)f (b)s(ottom)h(face.)76 b(When)44 b(the)g(b)s(oundary)g(conditions)h(on)e (the)118 1617 y(remaining)31 b(faces)h(are)e(free)i(the)f(corresp)s (onding)g(FK)f(measure)i(is)f(denoted)h(b)m(y)g(\010)3157 1570 y Fx(s;)p Fp(f)3157 1645 y Fr(B)3201 1656 y Fq(K)3295 1617 y FA(and)f(\010)3553 1570 y Fx(s;)p Fp(w)3553 1645 y Fr(B)3597 1656 y Fq(K)118 1733 y FA(for)h(wired.)118 1911 y FF(Prop)s(osition)38 b(3.1.)j Fk(L)-5 b(et)36 b Fj(b)1159 1926 y Fp(0)1233 1911 y Fk(b)-5 b(e)35 b(the)g(b)-5 b(ond)34 b FA(\(0)p Fy(;)17 b Fs(\000)l Fy(~)-45 b(e)1997 1926 y Fx(d)2037 1911 y FA(\))p Fk(.)45 b(F)-7 b(or)34 b(any)h Fy(p)27 b Fs(2)h FA([0)p Fy(;)17 b FA(1])35 b Fk(and)f Fy(s)28 b Fs(2)g FA(\(0)p Fy(;)17 b(p)p FA(])p Fk(,)1109 1990 y Fn(\014)1109 2050 y(\014)1109 2110 y(\014)1142 2105 y FA(\010)1212 2057 y Fx(s;)p Fp(w)1212 2132 y Fr(B)1256 2143 y Fq(K)1321 2105 y FA(\()p Fy(!)1420 2120 y Fh(b)1455 2129 y Fo(0)1494 2105 y FA(\))22 b Fs(\000)h FA(\010)1724 2057 y Fx(s;)p Fp(f)1724 2132 y Fr(B)1768 2143 y Fq(K)1831 2105 y FA(\()p Fy(!)1930 2120 y Fh(b)1965 2129 y Fo(0)2004 2105 y FA(\))2042 1990 y Fn(\014)2042 2050 y(\014)2042 2110 y(\014)2120 2105 y Ft(6)28 b Fy(")2271 2120 y Fx(K)2339 2105 y FA(\()p Fy(s)p FA(\))17 b Fy(;)956 b FA(\(3.6\))118 2298 y Fk(wher)-5 b(e)34 b Fy(")439 2313 y Fx(K)507 2298 y FA(\()p Fy(s)p FA(\))h Fk(vanishes)f(as)g Fy(K)42 b Fk(diver)-5 b(ges.)218 2476 y FA(W)d(e)45 b(p)s(ostp)s(one)g(the)h(pro) s(of)e(of)g(this)i(Lemma)g(and)f(\014rst)g(estimate)h(\(3.5\).)81 b(As)45 b Fj(J)p FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\))45 b(is)118 2592 y(supp)s(orted)23 b(b)m(y)f Fs(R)p FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\),)24 b(it)e(is)h(decoupled)g(from)e(the)i (b)s(onds)f(in)g(\004.)40 b(Th)m(us)23 b(using)g(FK)m(G)e(prop)s(ert)m (y)118 2708 y(one)33 b(can)g(reduce)h(the)f(estimates)h(to)e(the)h(set) g Fs(R)1905 2672 y Fx(L)1958 2708 y FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\))22 b Fs(n)g(R)p FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\))408 2788 y Fn(\014)408 2847 y(\014)408 2907 y(\014)441 2902 y FA(log)h(\010)654 2861 y Fp(w)654 2930 y Fm(R)714 2911 y Fq(L)761 2930 y Fp(\()p Fx(N)s(;\016)r Fp(\))932 2791 y Fn(\020)992 2902 y Fj(J)p FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\))1297 2791 y Fn(\021)1378 2902 y Fs(\000)23 b FA(log)17 b(\010)1690 2855 y Fp(f)5 b Fx(;)p Fp(w)1690 2937 y Fm(R)1750 2918 y Fq(L)1797 2937 y Fp(\()p Fx(N)s(;\016)r Fp(\))1969 2791 y Fn(\020)2028 2902 y Fj(J)p FA(\()p Fy(N)g(;)17 b(\016)t FA(\))2333 2791 y Fn(\021)2392 2788 y(\014)2392 2847 y(\014)2392 2907 y(\014)826 3142 y Ft(6)947 3047 y Fn(X)957 3260 y Fx(b)p Fm(2)p Fp(\004)1108 3007 y Fn(Z)1208 3033 y Fx(p)1163 3232 y Fp(0)1395 3075 y Fy(ds)p 1274 3119 339 4 v 1274 3210 a(s)p FA(\(1)22 b Fs(\000)g Fy(s)p FA(\))1655 3032 y Fn(\020)1715 3142 y FA(\010)1785 3095 y Fx(s;)p Fp(w)1785 3177 y Fm(R)1845 3158 y Fq(L)1892 3177 y Fp(\()p Fx(N)s(;\016)r Fp(\))p Fm(nR)p Fp(\()p Fx(N)s(;\016)r Fp(\))2326 3142 y FA(\()p Fy(!)2425 3157 y Fx(b)2459 3142 y FA(\))g Fs(\000)h FA(\010)2689 3095 y Fx(s;)p Fp(f)2689 3177 y Fm(R)2749 3158 y Fq(L)2796 3177 y Fp(\()p Fx(N)s(;\016)r Fp(\))p Fm(nR)p Fp(\()p Fx(N)s(;\016)r Fp(\))3230 3142 y FA(\()p Fy(!)3329 3157 y Fx(b)3363 3142 y FA(\))3401 3032 y Fn(\021)3494 3142 y Fy(;)826 3449 y Ft(6)28 b FA(2)p Fy(N)1068 3408 y Fx(d)p Fm(\000)p Fp(1)1215 3313 y Fn(Z)1315 3340 y Fx(p)1271 3539 y Fp(0)1502 3382 y Fy(ds)p 1381 3426 V 1381 3517 a(s)p FA(\(1)22 b Fs(\000)h Fy(s)p FA(\))1763 3338 y Fn(\020)1822 3449 y FA(\010)1892 3402 y Fx(s;)p Fp(w)1892 3476 y Fr(B)1936 3487 y Fq(L)2001 3449 y FA(\()p Fy(!)2100 3464 y Fh(b)2135 3473 y Fo(0)2174 3449 y FA(\))f Fs(\000)h FA(\010)2404 3402 y Fx(s;)p Fp(f)2404 3476 y Fr(B)2448 3487 y Fq(L)2499 3449 y FA(\()p Fy(!)2598 3464 y Fh(b)2633 3473 y Fo(0)2672 3449 y FA(\))2710 3338 y Fn(\021)2791 3449 y FA(+)f Fy(c)2931 3464 y Fx(d)2972 3449 y Fy(LN)3126 3408 y Fx(d)p Fm(\000)p Fp(2)3274 3449 y Fy(:)118 3666 y FA(The)45 b(\014nal)e(b)s(ound)h(has)g(b)s(een)g (obtained)h(b)m(y)f(applying)g(again)f(FK)m(G)g(inequalit)m(y)j(to)d (reduce)118 3782 y(further)32 b(the)h(domain)f(of)f(the)i(FK)e (measure.)45 b(The)33 b(rest)f(is)h(an)e(upp)s(er)i(b)s(ound)f(of)f (the)i(exp)s(ecta-)118 3898 y(tion)23 b(of)g(the)g(terms)h(lying)g(at)e (a)h(distance)h(smaller)g(than)f Fy(L)h FA(from)f(the)g(lateral)g (sides)i(of)d Fs(R)3332 3862 y Fx(L)3385 3898 y FA(\()p Fy(N)5 b(;)17 b(\016)t FA(\).)218 4131 y(W)-8 b(e)33 b(remark)g(that)f(for)g(an)m(y)i Fy(s)27 b Fs(2)h FA(\(0)p Fy(;)17 b(p)p FA(])574 4274 y(1)p 429 4319 V 429 4410 a Fy(s)p FA(\(1)22 b Fs(\000)g Fy(s)p FA(\))810 4231 y Fn(\020)870 4342 y FA(\010)940 4294 y Fx(s;)p Fp(w)940 4369 y Fr(B)984 4380 y Fq(L)1049 4342 y FA(\()p Fy(!)1148 4357 y Fh(b)1183 4366 y Fo(0)1221 4342 y FA(\))g Fs(\000)h FA(\010)1451 4294 y Fx(s;)p Fp(f)1451 4369 y Fr(B)1495 4380 y Fq(L)1546 4342 y FA(\()p Fy(!)1645 4357 y Fh(b)1680 4366 y Fo(0)1719 4342 y FA(\))1757 4231 y Fn(\021)1861 4342 y Ft(6)2121 4274 y FA(1)p 1976 4319 V 1976 4410 a Fy(s)p FA(\(1)f Fs(\000)g Fy(s)p FA(\))2357 4231 y Fn(\020)2417 4342 y FA(\010)2487 4294 y Fx(s;)p Fp(w)2487 4373 y Fm(f)p Fh(b)2557 4382 y Fo(0)2593 4373 y Fm(g)2632 4342 y FA(\()p Fy(!)2731 4357 y Fh(b)2766 4366 y Fo(0)2805 4342 y FA(\))g Fs(\000)g FA(\010)3034 4294 y Fx(s;)p Fp(f)3034 4373 y Fm(f)p Fh(b)3104 4382 y Fo(0)3140 4373 y Fm(g)3180 4342 y FA(\()p Fy(!)3279 4357 y Fh(b)3314 4366 y Fo(0)3352 4342 y FA(\))3390 4231 y Fn(\021)3483 4342 y Fy(;)642 4617 y Ft(6)901 4549 y FA(1)p 757 4594 V 757 4685 a Fy(s)p FA(\(1)f Fs(\000)i Fy(s)p FA(\))1138 4476 y Fn(\022)1212 4617 y Fy(s)f Fs(\000)1619 4549 y Fy(s)p 1389 4594 506 4 v 1389 4685 a(s)g FA(+)g(\(1)g Fs(\000)h Fy(s)p FA(\))p Fy(q)1904 4476 y Fn(\023)2022 4617 y Ft(6)2223 4549 y FA(1)p 2137 4594 220 4 v 2137 4685 a(1)f Fs(\000)h Fy(p)2383 4617 y(:)218 4835 y FA(Th)m(us)39 b(the)g(dominated)f(con)m(v)m(ergence)j(theorem)e(and)f(Prop)s(osition) 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3193 y Fy(!)1540 3208 y Fh(b)1575 3217 y Fo(0)1614 3112 y Fn(\001)1688 3193 y FA(=)2031 3126 y Fy(s)p 1801 3170 506 4 v 1801 3261 a(s)22 b FA(+)g(\(1)g Fs(\000)h Fy(s)p FA(\))p Fy(q)2333 3193 y(:)118 3421 y FA(Th)m(us)671 3598 y Fy(\026)730 3550 y Fx(h;)p Fp(+)730 3625 y Fr(B)774 3636 y Fq(K)849 3598 y FA(\()p Fy(\033)942 3613 y Fp(0)982 3598 y FA(\))k(=)h(\010)1221 3550 y Fx(s;)p Fp(w)1221 3625 y Fr(B)1265 3636 y Fq(K)1329 3517 y Fn(\000)1375 3598 y FA(1)1424 3613 y Fm(C)1465 3594 y Fo(w)1517 3517 y Fn(\001)1585 3598 y FA(+)1683 3517 y Fn(\000)1729 3598 y FA(1)22 b Fs(\000)g FA(\010)1969 3550 y Fx(s;)p Fp(w)1969 3625 y Fr(B)2013 3636 y Fq(K)2078 3517 y Fn(\000)2124 3598 y FA(1)2173 3613 y Fm(C)2214 3594 y Fo(w)2266 3517 y Fn(\001\001)2613 3530 y Fy(s)p 2384 3575 V 2384 3666 a(s)g FA(+)g(\(1)g Fs(\000)g Fy(s)p FA(\))p Fy(q)2916 3598 y(:)218 3831 y FA(In)33 b(the)g(same)g(w)m(a)m(y)-8 b(,)34 b(with)f(free)g(b)s(oundary)g(conditions)h(\(i.e.)44 b(with)33 b(zero)g(magnetic)g(\014eld\))685 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1 -1 sc (y3) col0 sh gr /Times-Roman ff 180.00 scf sf 1965 5295 m gs 1 -1 sc (z2) col0 sh gr /Times-Roman ff 180.00 scf sf 5250 5685 m gs 1 -1 sc (z1) col0 sh gr /Times-Roman ff 180.00 scf sf 7365 5715 m gs 1 -1 sc (y2) col0 sh gr /Times-Roman ff 180.00 scf sf 5310 6990 m gs 1 -1 sc (y1) col0 sh gr /Times-Roman ff 180.00 scf sf 7500 10290 m gs 1 -1 sc (0) col0 sh gr /Times-Roman ff 180.00 scf sf 8370 3090 m gs 1 -1 sc (z3) col0 sh gr /Times-Roman ff 180.00 scf sf 2985 2565 m gs 1 -1 sc (B) col0 sh gr % Polyline 0 slj 7.500 slw n 5655 4740 m 5955 4740 l 5955 4890 l 5655 4890 l cp gs col7 0.75 shd ef gr gs col0 s gr % Polyline 15.000 slw n 5205 2415 m 6405 2415 l 6405 4815 l 5205 4815 l cp gs col0 s gr % Polyline 7.500 slw n 5805 2340 m 6105 2340 l 6105 2490 l 5805 2490 l cp gs col7 0.75 shd ef gr gs col0 s gr % Polyline n 6480 4065 m 6480 4365 l 6330 4365 l 6330 4065 l cp gs col7 0.75 shd ef gr gs col0 s gr % Polyline 15.000 slw n 8805 3615 m 8805 4815 l 6405 4815 l 6405 3615 l cp gs col0 s gr % Polyline 7.500 slw n 8880 4365 m 8880 4665 l 8730 4665 l 8730 4365 l cp gs col7 0.75 shd ef gr gs col0 s gr % Polyline n 5850 9525 m 6150 9525 l 6150 9675 l 5850 9675 l cp gs col0 s gr % Polyline 15.000 slw n 5400 7200 m 6600 7200 l 6600 9600 l 5400 9600 l cp gs col0 s gr % Polyline 7.500 slw n 5550 7125 m 5850 7125 l 5850 7275 l 5550 7275 l cp gs col7 0.75 shd ef gr gs col0 s gr % Polyline 15.000 slw n 5100 4800 m 6300 4800 l 6300 7200 l 5100 7200 l cp gs col0 s gr % Polyline 7.500 slw n 5175 4950 m 5175 5250 l 5025 5250 l 5025 4950 l cp gs col7 0.75 shd ef gr gs col0 s gr % Polyline 15.000 slw n 5100 4500 m 5100 5700 l 2700 5700 l 2700 4500 l cp gs col0 s gr % Polyline 7.500 slw n 2775 5100 m 2775 5400 l 2625 5400 l 2625 5100 l cp gs col7 0.75 shd ef gr gs col0 s gr % Polyline [60] 0 sd n 4590 2115 m 7020 2115 l 7020 4800 l 4590 4800 l cp gs col0 s gr [] 0 sd % Polyline [60] 0 sd n 2415 6330 m 2415 3900 l 5100 3900 l 5100 6330 l cp gs col0 s gr [] 0 sd $F2psEnd rs %%EndDocument @endspecial 2462 1721 a /End PSfrag 2462 1721 a 2462 683 a /Hide PSfrag 2462 683 a 1593 752 a FA(PSfrag)33 b(replacemen)m(ts)p 1593 787 869 4 v 2462 791 a /Unhide PSfrag 2462 791 a 2228 882 a { 2228 882 a Fy(b)2269 846 y Fx(d)2269 908 y(K)2338 882 y FA(\(0\))2228 882 y } 0/Place PSfrag 2228 882 a 2462 918 a { 2462 918 a 2317 1004 a Fy(y)2369 968 y Fp(\(1\))2462 918 y } 1/Place PSfrag 2462 918 a 2317 1121 a { 2317 1121 a Fy(y)2369 1084 y Fp(\(2\))2317 1121 y } 2/Place PSfrag 2317 1121 a 2317 1237 a { 2317 1237 a Fy(y)2369 1201 y Fp(\(3\))2317 1237 y } 3/Place PSfrag 2317 1237 a 2462 1372 a { 2462 1372 a -144 w Fy(z)2367 1336 y Fp(\(1\))2462 1372 y } 4/Place PSfrag 2462 1372 a 2462 1446 a { 2462 1446 a 2318 1489 a Fy(z)2367 1453 y Fp(\(2\))2462 1446 y } 5/Place PSfrag 2462 1446 a 2318 1605 a { 2318 1605 a Fy(z)2367 1569 y Fp(\(3\))2318 1605 y } 6/Place PSfrag 2318 1605 a 2462 1671 a { 2462 1671 a 2122 1696 a Fu(B)p FA(\()p Fy(L;)17 b(H)8 b FA(\))2462 1671 y } 7/Place PSfrag 2462 1671 a 417 1959 a FD(Figure)43 b(5.)d FE(A)e(branc)n(hing)f (sequence)g(in)g(the)h(North/W)-7 b(est)38 b(directions.)66 b(The)37 b(domains)417 2062 y FC(y)461 2032 y Fd(\(2\))568 2062 y FE(+)18 b Fc(B)706 2074 y Fd(North)881 2062 y FE(\()p FC(L;)c(H)7 b FE(\))28 b(and)f FC(z)1347 2032 y Fd(\(1\))1454 2062 y FE(+)18 b Fc(B)1592 2074 y Fd(W)-5 b(est)1740 2062 y FE(\()p FC(L;)14 b(H)7 b FE(\))27 b(are)g(depicted)h (b)n(y)f(the)h(dashed)g(blo)r(c)n(ks.)118 2340 y FA(for)k(an)m(y)h (domain)g(\003)f(con)m(taining)i Fu(B)p FA(\()p Fy(L;)17 b(H)8 b FA(\))181 2455 y Fn(X)193 2678 y Fx(y)230 2658 y Fo(\(1\))342 2549 y FA(\010)412 2508 y Fp(f)412 2574 y(\003)482 2469 y Fn(\000)527 2549 y Fs(E)589 2508 y Fp(1)628 2549 y FA(\()p Fy(y)718 2508 y Fp(\(1\))812 2549 y FA(\))850 2469 y Fn(\001)923 2549 y FA(=)28 b(\010)1097 2508 y Fp(f)1097 2574 y(\003)1167 2469 y Fn(\000)1212 2549 y Fs(C)1270 2508 y Fp(1)1264 2574 y Fx(K)1333 2549 y FA(\()p Fy(`;)17 b(h)p FA(\))1550 2469 y Fn(\001)1640 2549 y Ft(>)28 b FA(\010)1815 2508 y Fp(f)1815 2574 y Fr(B)1859 2555 y Fl(\003)1896 2574 y Fp(\()p Fx(L;H)5 b Fp(\))2085 2469 y Fn(\000)2131 2549 y Fu(B)2197 2508 y Fm(\003)2237 2549 y FA(\()p Fy(`;)17 b(h)p FA(\))65 b(is)33 b(o)s(ccupied)2988 2469 y Fn(\001)3061 2549 y Ft(>)28 b FA(1)22 b Fs(\000)h Fy(\021)d(;)29 b FA(\(5.2\))118 2866 y(where)34 b(the)f(sum)g(o)m(v)m(er)h Fy(y)1035 2830 y Fp(\(1\))1161 2866 y FA(is)f(restricted)h(to)e Fy(T)1869 2881 y Fp(North)q Fx(;)p Fp(W)-6 b(est)2229 2866 y FA(\()p Fy(`;)17 b(h)p FA(\).)218 2988 y(Then)34 b(a)e(branc)m(hing)i(o)s(ccurs)f(within)h Fy(y)1664 2952 y Fp(\(1\))1780 2988 y FA(+)22 b Fu(B)1944 3003 y Fp(North)2131 2988 y FA(\()p Fy(`;)17 b(h)p FA(\),)32 b(i.e.)45 b Fy(b)2617 2952 y Fx(d)2617 3014 y(K)2686 2988 y FA(\()p Fy(y)2776 2952 y Fp(\(1\))2869 2988 y FA(\))33 b(is)g(connected)h(to)f(a)118 3108 y(seed)i Fy(b)372 3072 y Fx(d)372 3133 y(K)441 3108 y FA(\()p Fy(y)531 3072 y Fp(\(2\))624 3108 y FA(\))f(cen)m(tered)h(in) f Fy(y)1251 3072 y 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1223 a FA(~)2815 1249 y Fu(B)2881 1264 y Fp(2)2868 1264 y } 2/Place PSfrag 2868 1264 a 2815 1365 a { 2815 1365 a 2824 1339 a FA(~)2815 1365 y Fu(B)2881 1380 y Fp(3)2815 1365 y } 3/Place PSfrag 2815 1365 a 2815 1481 a { 2815 1481 a 2824 1456 a FA(~)2815 1481 y Fu(B)2881 1496 y Fp(5)2815 1481 y } 4/Place PSfrag 2815 1481 a 2815 1597 a { 2815 1597 a 2824 1572 a FA(~)2815 1597 y Fu(B)2881 1612 y Fp(6)2815 1597 y } 5/Place PSfrag 2815 1597 a 2828 1686 a { 2828 1686 a 2735 1729 a Fy(z)2784 1692 y Fp(\()p Fx(W)10 b Fp(\))2828 1686 y } 6/Place PSfrag 2828 1686 a 2866 1845 a { 2866 1845 a Fy(x)2866 1845 y } 7/Place PSfrag 2866 1845 a 2870 1942 a { 2870 1942 a Fy(y)2870 1942 y } 8/Place PSfrag 2870 1942 a 2724 2052 a { 2724 2052 a Fs(T)2803 2016 y Fp(1)2778 2077 y(East)2724 2052 y } 9/Place PSfrag 2724 2052 a 2325 2174 a { 2325 2174 a FA(triggering)32 b(line)2325 2174 y } 10/Place PSfrag 2325 2174 a 417 2427 a FD(Figure)f(6.)41 b FE(A)27 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FA(+)2421 3749 y(~)2402 3775 y Fy(T)2459 3790 y Fp(North)p Fx(;)p Fp(W)-6 b(est)2818 3775 y FA(\()p Fy(`;)17 b(h)p FA(\))g Fy(;)525 3888 y FA(~)516 3914 y Fu(B)582 3929 y Fp(3)650 3914 y FA(=)27 b Fy(z)802 3878 y Fp(\(3\))919 3914 y FA(+)1026 3888 y(~)1017 3914 y Fu(B)1083 3929 y Fp(North)1270 3914 y FA(\()p Fy(`;)17 b(h)p FA(\))97 b(with)i Fy(z)1921 3878 y Fp(\(3\))2043 3914 y Fs(2)28 b Fy(z)2186 3878 y Fp(\(2\))2304 3914 y FA(+)2421 3889 y(~)2402 3914 y Fy(T)2459 3929 y Fp(North)p Fx(;)p Fp(East)2803 3914 y FA(\()p Fy(`;)17 b(h)p FA(\))g Fy(:)118 4103 y FA(F)-8 b(rom)383 4077 y(~)374 4103 y Fu(B)440 4118 y Fp(2)513 4103 y FA(a)33 b(bric)m(k)h(sequence)h(branc)m (hes)g(in)e(the)g(W)-8 b(est)34 b(direction)g(to)m(w)m(ards)g(the)f (target)f(region)118 4219 y Fs(T)198 4183 y Fp(1)172 4244 y(W)-6 b(est)330 4219 y FA(.)43 b(W)-8 b(e)33 b(will)g(come)h(bac) m(k)f(to)g(this)g(later.)218 4344 y(Then)38 b(an)g(east)g(bric)m(k)1081 4318 y(~)1072 4344 y Fu(B)1138 4359 y Fp(4)1216 4344 y FA(is)g(attac)m(hed)g(to)f(the)h(east)g(side)g(of)2550 4318 y(~)2541 4344 y Fu(B)2607 4359 y Fp(3)2684 4344 y FA(and)g(another)f(branc)m(hing)118 4460 y(o)s(ccurs)c(in)g(the)g (East/North)g(directions:)45 b(three)33 b(bric)m(ks)h(are)f(piled)g(up) g(in)g(the)f(East)h(direction)118 4585 y(on)g(top)f(of)547 4560 y(~)538 4585 y Fu(B)604 4600 y Fp(4)564 4670 y Fn(8)564 4759 y(>)564 4789 y(>)564 4819 y(>)564 4849 y(<)564 5028 y(>)564 5058 y(>)564 5088 y(>)564 5118 y(:)661 4731 y FA(~)652 4757 y Fu(B)718 4772 y Fp(4)786 4757 y FA(=)27 b Fy(z)938 4721 y Fp(\(4\))1055 4757 y FA(+)1162 4731 y(~)1153 4757 y Fu(B)1219 4772 y Fp(East)1363 4757 y FA(\()p Fy(`;)17 b(h)p FA(\))97 b(with)h Fy(z)2013 4721 y Fp(\(4\))2136 4757 y Fs(2)28 b Fy(S)2290 4772 y Fp(North)p Fx(;)p Fp(East)2657 4757 y FA(+)22 b Fy(z)2804 4721 y Fp(\(3\))2915 4757 y Fy(;)661 4871 y FA(~)652 4897 y Fu(B)718 4912 y Fp(5)786 4897 y FA(=)27 b Fy(z)938 4861 y Fp(\(5\))1055 4897 y FA(+)1162 4871 y(~)1153 4897 y Fu(B)1219 4912 y Fp(East)1363 4897 y FA(\()p Fy(`;)17 b(h)p FA(\))97 b(with)h Fy(z)2013 4861 y Fp(\(5\))2136 4897 y Fs(2)28 b Fy(T)2287 4912 y Fp(East)q Fx(;)p Fp(North)2654 4897 y FA(+)22 b Fy(z)2801 4861 y Fp(\(4\))2912 4897 y Fy(;)661 5010 y FA(~)652 5036 y Fu(B)718 5051 y Fp(6)786 5036 y FA(=)27 b Fy(z)938 5000 y Fp(\(6\))1055 5036 y FA(+)1162 5010 y(~)1153 5036 y Fu(B)1219 5051 y Fp(East)1363 5036 y FA(\()p Fy(`;)17 b(h)p FA(\))97 b(with)h Fy(z)2013 5000 y Fp(\(6\))2136 5036 y Fs(2)28 b Fy(T)2287 5051 y Fp(East)q Fx(;)p Fp(North)2654 5036 y FA(+)22 b Fy(z)2801 5000 y Fp(\(5\))2912 5036 y Fy(;)661 5150 y FA(~)652 5176 y Fu(B)718 5191 y Fp(7)786 5176 y FA(=)27 b Fy(z)938 5139 y Fp(\(7\))1055 5176 y FA(+)1162 5150 y(~)1153 5176 y Fu(B)1219 5191 y Fp(East)1363 5176 y FA(\()p Fy(`;)17 b(h)p FA(\))97 b(with)h Fy(z)2013 5139 y Fp(\(7\))2136 5176 y Fs(2)28 b Fy(T)2287 5191 y Fp(East)q Fx(;)p Fp(South)2652 5176 y FA(+)22 b Fy(z)2799 5139 y Fp(\(6\))2911 5176 y Fy(:)118 5364 y FA(F)-8 b(rom)380 5338 y(~)371 5364 y Fu(B)437 5379 y Fp(6)507 5364 y FA(a)29 b(bric)m(k)i(sequence)i (branc)m(hes)e(in)f(the)h(North)e(direction)i(to)m(w)m(ards)g(the)f (target)f(region)118 5480 y Fs(T)198 5444 y Fp(1)172 5506 y(North)391 5480 y FA(and)k(another)g(sequence)i(go)s(es)e(on)f (in)h(the)g(East)g(direction)g(to)m(w)m(ards)h Fs(T)3049 5444 y Fp(1)3023 5505 y(East)3166 5480 y FA(.)p eop end %%Page: 32 32 TeXDict begin 32 31 bop 118 51 a Fv(32)1433 b(T.)26 b(BODINEA)n(U)118 366 y Fk(Final)34 b(c)-5 b(onne)g(ctions:)218 483 y FA(After)28 b(the)g(bifurcation,)i(the)e(steering)h(rules)g(are)f(applied)h(once)g (again)e(to)h(cen)m(ter)h(along)f(the)118 599 y(axis)h(of)f(the)h (target)f(region)h Fs(T)1234 563 y Fp(1)1209 624 y(W)-6 b(est)1395 599 y FA(\(resp.)43 b(North,)29 b(East\))g(the)f(bric)m(k)i (sequence)h(piled)f(up)e(in)h(the)118 715 y(W)-8 b(est)38 b(direction)h(\(resp.)58 b(North,)39 b(East)f(directions\).)59 b(It)37 b(remains)i(to)e(c)m(hec)m(k)j(that)d(using)h(this)118 831 y(construction)c(the)f(sequences)j(reac)m(h)d(the)g(target)f (regions)h(and)g(that)f(they)i(do)e(not)h(o)m(v)m(erlap.)218 948 y(The)24 b(starting)e(p)s(oin)m(t)h(of)g(the)g(w)m(estern)i (sequence)g Fy(z)2056 911 y Fp(\()p Fx(W)10 b Fp(\))2220 948 y FA(=)28 b(\()p Fy(x)2417 963 y Fx(W)2498 948 y Fy(;)17 b(y)2590 963 y Fx(W)2670 948 y FA(\))22 b(b)s(elongs)i(to)e (the)h(w)m(estern)118 1073 y(side)34 b(of)434 1047 y(~)425 1073 y Fu(B)491 1088 y Fp(3)531 1073 y FA(.)43 b(By)33 b(construction)507 1253 y Fy(x)562 1268 y Fx(W)671 1253 y Fs(2)28 b FA([)p Fs(\000)p FA(2)p Fy(`;)17 b(`)p FA(])22 b(+)g Fy(x)1246 1268 y Fp(0)1286 1253 y Fy(;)212 b(y)1573 1268 y Fx(W)1680 1253 y Fs(2)29 b FA([)p Fy(N)j FA(+)22 b Fy(N)r(=)p FA(2)g(+)g Fy(H)r(;)17 b(N)33 b FA(+)22 b Fy(N)r(=)p FA(2)g(+)g(3)p Fy(H)8 b FA(])118 1433 y(By)38 b(piling)f(up)g(bric)m(ks)i(in)e(the)h(w)m(estern)h(direction,)g(the)e (bric)m(k)i(sequence)g(is)f(lo)s(calized)g(in)f(the)118 1550 y(strip)h Fs(f\000)p Fy(N)5 b(;)17 b(x)660 1565 y Fx(W)741 1550 y Fs(g)25 b(\002)h(f)p Fy(y)1017 1565 y Fx(W)1122 1550 y Fs(\000)g Fy(L;)17 b(L)p Fs(g)37 b FA(and)g(therefore)h(it)f(encoun)m(ters)i(the)f(target)f(region)g Fs(T)3529 1513 y Fp(1)3504 1575 y(W)-6 b(est)118 1666 y FA(b)m(y)34 b(using)f(less)h(than)e(20)g(bric)m(ks.)218 1782 y(W)-8 b(e)35 b(pro)s(ceed)h(in)g(the)g(same)g(w)m(a)m(y)g(for)f (the)h(other)f(directions)i(and)e(see)h(that)f(the)h(sequences)118 1898 y(ev)m(olv)m(e)f(in)e(non)f(o)m(v)m(erlapping)i(regions.)218 2133 y(The)47 b(insp)s(ection)h(of)e(a)g(square)h(requires)i(less)e (than)g(100)e(bric)m(ks,)52 b(th)m(us)c(the)e(probabilit)m(y)118 2249 y(for)39 b Fu(S)329 2264 y Fp(1)407 2249 y FA(to)g(b)s(e)g(go)s(o) s(d)f(conditionally)i(to)f(the)g(fact)g(that)g Fu(S)2278 2264 y Fp(0)2357 2249 y FA(is)g(go)s(o)s(d,)h(is)g(larger)f(than)g Fy(\013)q FA(\()p Fy(\021)t FA(\))f(=)118 2365 y(\(1)7 b Fs(\000)g Fy(\021)t FA(\))386 2329 y Fp(100)496 2365 y FA(.)41 b(F)-8 b(urthermore,)27 b(the)f(pro)s(cedure)g(describ)s(ed)h (ab)s(o)m(v)m(e)f(do)s(es)f(not)g(dep)s(end)i(on)e(the)g(b)s(ond)118 2481 y(con\014gurations)i(outside)f Fu(S)1125 2496 y Fp(0)1174 2481 y Fs(\\)8 b Fu(S)1303 2496 y Fp(1)1343 2481 y FA(.)41 b(Th)m(us)28 b(the)e(sto)s(c)m(hastic)h(domination)f (inequalit)m(y)j(\(5.4\))d(holds)118 2598 y(at)32 b(an)m(y)i(step)f(of) f(the)h(cluster)h(algorithm.)1599 2832 y Fz(References)118 2990 y FE([A1])42 b(M.)25 b(Aizenman,)i Fw(R)n(igor)l(ous)h(studies)g (of)h(critic)l(al)g(b)l(ehavior.)i(II.)d(Statistic)l(al)h(physics)g (and)g(dynamic)l(al)h(sys-)289 3089 y(tems)7 b FE(,)27 b(Progr.)e(Ph)n(ys.,)i Fb(10)p FE(,)g(Birkh\177)-42 b(auser)26 b(Boston,)h(Boston,)f(MA,)i(453{481)d(\(1985\).)118 3189 y([A2])42 b(M.)28 b(Aizenman,)h Fw(A)n(bsenc)l(e)h(of)h(an)f(interme)l (diate)i(phase)f(for)h(a)e(gener)l(al)h(class)g(of)h(one-c)l(omp)l (onent)e(ferr)l(o-)289 3289 y(magnetic)g(mo)l(dels)7 b FE(,)29 b(Ph)n(ys.)d(Rev.)i(Lett.)g Fb(54)p FE(,)f(no)g(8,)h(839{842) c(\(1985\).)118 3388 y([A)n(CCFR])42 b(M.)37 b(Aizenman,)j(J.T.)d(Cha)n (y)n(es,)h(L.)g(Cha)n(y)n(es,)g(J.)f(F)-7 b(r\177)-42 b(ohlic)n(h,)39 b(L.)e(Russo,)i Fw(On)f(a)h(sharp)g(tr)l(ansition)289 3488 y(fr)l(om)31 b(ar)l(e)l(a)g(law)g(to)g(p)l(erimeter)g(law)h(in)e (a)h(system)g(of)g(r)l(andom)g(surfac)l(es)7 b FE(,)30 b(Comm.)e(Math.)h(Ph)n(ys.)e Fb(92)p FE(,)i(no.)289 3587 y(1,)e(19{69)e(\(1983\).)118 3687 y([BGN])42 b(D.)31 b(Barsky)-7 b(,)29 b(G.)h(Grimmett,)h(C.)f(Newman,)h Fw(Per)l(c)l(olation)j(in)e(half-sp)l(ac)l(es:)45 b(e)l(quality)32 b(of)h(critic)l(al)g(den-)289 3787 y(sities)f(and)f(c)l(ontinuity)g(of) h(the)g(p)l(er)l(c)l(olation)g(pr)l(ob)l(ability)7 b FE(,)33 b(Probab.)28 b(Theory)g(Related)h(Fields)g Fb(90)p FE(,)h(no.)f(1,)289 3886 y(111{148)24 b(\(1991\).)118 3986 y([B])66 b(T.)22 b(Bo)r(dineau,)g Fw(The)j(Wul\013)f(c)l (onstruction)g(in)g(thr)l(e)l(e)h(and)f(mor)l(e)h(dimensions)7 b FE(,)24 b(Comm.)e(Math.)f(Ph)n(ys.)g Fb(207)p FE(,)289 4086 y(197{229)j(\(1999\).)118 4185 y([BIV1])41 b(T.)e(Bo)r(dineau,)i (D.)e(Io\013e,)i(Y.)e(V)-7 b(elenik,)41 b Fw(R)n(igor)l(ous)f(pr)l(ob)l (abilistic)i(analysis)f(of)g(e)l(quilibrium)g(crystal)289 4285 y(shap)l(es)7 b FE(,)28 b(J.)g(Math.)g(Ph)n(ys.)e Fb(41)p FE(,)h(No.3,)h(1033{1098)23 b(\(2000\).)118 4384 y([BKM])41 b(C.)22 b(Borgs,)e(R.)i(Kotec)n(k)q(\023)-43 b(y,)21 b(I.)g(Medv)n(ed,)h Fw(Finite-size)j(e\013e)l(cts)f(for)g(the)g (Potts)g(mo)l(del)h(with)f(we)l(ak)h(b)l(oundary)289 4484 y(c)l(onditions)7 b FE(,)28 b(J.)g(Statist.)g(Ph)n(ys.)e Fb(109)p FE(,)h(no.)h(1-2,)e(67{131)f(\(2002\).)118 4584 y([C])65 b(R.)31 b(Cerf,)h Fw(L)l(ar)l(ge)i(deviations)h(for)f(thr)l(e) l(e)f(dimensional)i(sup)l(er)l(critic)l(al)f(p)l(er)l(c)l(olation)6 b FE(,)34 b(Ast)n(\023)-39 b(erisque)30 b(No.)h(267)289 4683 y(\(2000\).)118 4783 y([CP])41 b(R.)f(Cerf,)j(A.)e(Pisztora,)g Fw(On)f(the)i(Wul\013)e(crystal)i(in)f(the)g(Ising)h(mo)l(del)9 b FE(,)43 b(Ann.)e(Probab.)d Fb(28)p FE(,)43 b(no.)d(3,)289 4883 y(947{1017)24 b(\(2000\).)118 4982 y([DS])42 b(R.)55 b(L.)f(Dobrushin,)61 b(S.)54 b(Shlosman,)61 b Fw(Completely)56 b(analytic)l(al)g(Gibbs)f(\014elds)7 b FE(,)61 b(Progr.)52 b(Ph)n(ys.,)60 b Fb(10)p FE(,)289 5082 y(Birkh\177)-42 b(auser)26 b(Boston,)g(Boston,)h(MA,)h(371{403)c(\(1985\).)118 5181 y([ES])41 b(R.)32 b(Edw)n(ards,)f(A.)h(Sok)-5 b(al,)33 b Fw(Gener)l(alization)i(of)f(the)g(F)-6 b (ortuin-Kasteleyn-Swendsen-Wang)33 b(r)l(epr)l(esenta-)289 5281 y(tion)d(and)g(Monte)g(Carlo)h(algorithm)6 b FE(,)30 b(Ph)n(ys.)c(Rev.)i(D)g(\(3\))g Fb(38)p FE(,)f(no.)g(6,)h(2009{2012)23 b(\(1988\).)118 5381 y([FK])42 b(C.)25 b(F)-7 b(ortuin,)26 b(P)-7 b(.)25 b(Kasteleyn,)g Fw(On)i(the)h(r)l(andom-cluster)g(mo)l (del.)h(I.)g(Intr)l(o)l(duction)e(and)h(r)l(elation)h(to)f(other)289 5480 y(mo)l(dels)7 b FE(,)28 b(Ph)n(ysica)e Fb(57)p FE(,)h(536{564)e (\(1972\).)p eop end %%Page: 33 33 TeXDict begin 33 32 bop 1001 51 a Fv(SLAB)33 b(PER)n(COLA)-6 b(TION)32 b(F)n(OR)h(THE)g(ISING)f(MODEL)807 b(33)118 366 y FE([FP])41 b(J.)34 b(F)-7 b(r\177)-42 b(ohlic)n(h,)35 b(C.)f(P\014ster,)h Fw(Semi-in\014nite)g(Ising)h(mo)l(del.)h(II.)f(The) h(wetting)e(and)i(layering)g(tr)l(ansitions)7 b FE(,)289 466 y(Comm.)27 b(Math.)h(Ph)n(ys.)f Fb(112)p FE(,)g(no.)g(1,)g(51{74)f (\(1987\).)118 566 y([G1])41 b(G.)28 b(Grimmett,)h Fw(Per)l(c)l (olation)6 b FE(,)29 b(Second)f(edition,)f Fb(321)p FE(,)g(Springer-V) -7 b(erlag,)25 b(Berlin,)j(1999.)118 665 y([G2])41 b(G.)35 b(Grimmett,)i Fw(The)g(sto)l(chastic)g(r)l(andom-cluster)e(pr)l(o)l(c)l (ess)i(and)f(the)g(uniqueness)g(of)g(r)l(andom-cluster)289 765 y(me)l(asur)l(es)7 b FE(,)27 b(Ann.)h(Probab.)e Fb(23)p FE(,)h(no.)h(4,)f(1461{1510)c(\(1995\).)118 865 y([GH])42 b(G.)50 b(Grimmett,)55 b(P)-7 b(.)49 b(Hiemer,)55 b Fw(Dir)l(e)l(cte)l (d)49 b(p)l(er)l(c)l(olation)i(and)g(r)l(andom)f(walk)9 b FE(,)56 b(Progr.)47 b(Probab.,)53 b Fb(51)p FE(,)289 964 y(Birkh\177)-42 b(auser)26 b(Boston,)g(Boston,)h(MA,)h(273{297)c (\(2002\).)118 1064 y([GM])42 b(G.)36 b(Grimmett,)i(J.)e(Marstrand,)g Fw(The)j(sup)l(er)l(critic)l(al)f(phase)g(of)g(p)l(er)l(c)l(olation)h (is)e(wel)t(l)i(b)l(ehave)l(d)9 b FE(,)39 b(Pro)r(c.)289 1163 y(Ro)n(y)-7 b(.)27 b(So)r(c.)g(London)g(Ser.)h(A)f(430,)g(no.)g (1879,)f(439{457)e(\(1990\).)118 1263 y([KLMR])41 b(R.)33 b(Kotec)n(k)q(\023)-43 b(y,)31 b(L.)h(Laanait,)g(A.)g(Messager,)f(J.)h (Ruiz,)h Fw(The)i FC(q)s Fw(-state)e(Potts)h(mo)l(del)g(in)g(the)g (standar)l(d)289 1363 y(Pir)l(o)l(gov-Sinai)26 b(the)l(ory:)37 b(surfac)l(e)25 b(tensions)g(and)g(Wilson)g(lo)l(ops)7 b FE(,)24 b(J.)e(Statist.)g(Ph)n(ys.)f Fb(58)p FE(,)i(no.)f(1-2,)g (199{248)289 1462 y(\(1990\).)118 1562 y([LP])41 b(J.)30 b(Leb)r(o)n(witz,)g(C.)g(P\014ster,)g Fw(Surfac)l(e)i(tension)g(and)g (phase)i(c)l(o)l(existenc)l(e)6 b FE(,)30 b(Ph)n(ys.)f(Rev.)h(Lett.)h Fb(46)p FE(,)f(no.)f(15,)289 1662 y(1031{1033)23 b(\(1981\).)118 1761 y([MS])42 b(R.)29 b(Meester,)f(J.)h(Steif,)g Fw(On)h(the)h(c)l (ontinuity)f(of)i(the)f(critic)l(al)h(value)f(for)g(long)h(r)l(ange)e (p)l(er)l(c)l(olation)i(in)f(the)289 1861 y(exp)l(onential)f(c)l(ase)6 b FE(,)29 b(Comm.)e(Math.)h(Ph)n(ys.)e Fb(180)p FE(,)h(no.)h(2,)f (483{504)d(\(1996\).)118 1961 y([MMP])41 b(A.)24 b(Messager,)d(S.)i (Miracle-Sol)n(\023)-39 b(e,)22 b(C.)h(P\014ster,)f Fw(On)j(classic)l (al)i(ferr)l(omagnets)f(with)g(a)g(c)l(omplex)g(external)289 2060 y(\014eld)9 b FE(,)28 b(J.)f(Statist.)h(Ph)n(ys.)f Fb(34)p FE(,)g(no.)g(1-2,)g(279{286)d(\(1984\).)118 2160 y([MMR])42 b(A.)31 b(Messager,)e(S.)h(Miracle-Sol)n(\023)-39 b(e,)28 b(J.)i(Ruiz,)h Fw(Surfac)l(e)i(tension,)g(step)f(fr)l(e)l(e)g (ener)l(gy)h(and)f(fac)l(ets)h(in)f(the)289 2259 y(e)l(quilibrium)e (crystal)9 b FE(,)28 b(J.)g(Stat.)g(Ph)n(ys.)e Fb(79)i FE(\(1995\).)118 2359 y([Pi])45 b(A.)29 b(Pisztora,)f Fw(Surfac)l(e)k(or)l(der)g(lar)l(ge)g(deviations)h(of)f(Ising,)g(Potts) f(and)h(p)l(er)l(c)l(olation)h(mo)l(dels)7 b FE(,)30 b(Prob.)e(Th.)289 2459 y(Rel.)g(Fields)f Fb(104)p FE(,)g(427{466)e (\(1996\).)118 2558 y([SS])42 b(R.)d(Sc)n(honmann,)h(S.)f(Shlosman,)i Fw(Complete)g(analyticity)g(for)g FE(2)p Fw(D)e(Ising)h(c)l(omplete)l (d)9 b FE(,)42 b(Comm.)c(Math.)289 2658 y(Ph)n(ys.)26 b Fb(170)p FE(,)h(no.)h(2,)f(453{482)d(\(1995\).)218 2845 y FD(D)287 2838 y(\023)287 2845 y(ep)-6 b(ar)g(tement)42 b(de)d(ma)-6 b(th)1157 2838 y(\023)1157 2845 y(ema)g(tiques,)43 b(Universit)2045 2838 y(\023)2045 2845 y(e)d(P)-7 b(aris)39 b(7,)j(case)e(7012,)h(2)e(pla)n(ce)i(Jussieu,)118 2944 y(P)-7 b(aris)31 b(75251,)f(France)218 3044 y Fw(E-mail)g(addr)l(ess)7 b FE(:)38 b Fa(bodineau@gauss.ma)o(th.)o(ju)o(ss)o(ieu)o(.f)o(r)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF ---------------0309180503659--