Content-Type: multipart/mixed; boundary="-------------0206100342622" This is a multi-part message in MIME format. ---------------0206100342622 Content-Type: text/plain; name="02-257.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="02-257.keywords" Stochastic Stability, Mean Field Spin Glass ---------------0206100342622 Content-Type: application/postscript; name="ss.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="ss.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: stosta.dvi %%Pages: 11 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -o ss.ps stosta.dvi %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2002.05.27:1557 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul 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b(\001)3072 5248 y Ff(2)3155 5284 y Fp(are)g(applied)-24 5433 y(to)37 b(the)g(graph)g(\(1) p Fj(;)17 b Fp(2\).)55 b(The)38 b(extension)f(to)g(the)g(general)f (case)i(is)e(straigh)m(tforw)m(ard)g(and)h(already)1783 5682 y(9)p eop %%Page: 10 10 10 9 bop -24 171 a Fp(included)33 b(in)f(the)h(w)m(ell)f (de\014niteness)j(of)d(the)i(op)s(erators)e Fj(\016)37 b Fp(and)c(\001)g(for)f(general)h(graphs)g(as)g(it)f(w)m(as)-24 320 y(sho)m(wn)i(in)e(section)h(6)f(of)g([A)m(C)q(].)44 b(The)33 b(\(3.6\))f(immediately)e(imply)g(the)j(\(2.16\).)123 706 y Fq(Ac)m(kno)m(wledgmen)m(ts.)40 b Fp(W)-8 b(e)26 b(ac)m(kno)m(wledge)i(useful)e(con)m(v)m(ersations)h(with)f(F)-8 b(rancesco)27 b(Guerra,)-24 855 y(Andreas)34 b(Knauf)e(and)h(P)m(aola)f (T)-8 b(revisan.)-24 1274 y Fl(References)-24 1522 y Fp([SK])271 b(D.Sherrington)42 b(and)h(S.Kirkpatric)m(k,)i(\\Solv)-5 b(able)42 b(mo)s(del)f(of)i(a)f(spin-glass,")j Fa(Ph)m(ys.)431 1672 y(Rev.)33 b(Lett.)p Fp(,)g Fq(35)p Fp(,)g(1792{1796)d(\(1975\).) -24 1904 y([MPV])173 b(M.M)m(\023)-46 b(ezard,)53 b(G.P)m(arisi,)d(and) e(M.A.Virasoro,)j Fk(Spin)d(Glass)h(The)-5 b(ory)48 b(and)h(Beyond)p Fp(.)431 2053 y(W)-8 b(orld)31 b(Scien)m(ti\014c,)i(1987.)-24 2286 y([G])324 b(F.Guerra,)29 b(\\Ab)s(out)e(the)i(o)m(v)m(erlap)g (distribution)d(in)i(a)g(mean)f(\014eld)i(spin)f(glass)g(mo)s(del")431 2435 y Fk(Int.)34 b(J.)h(Phys.)g(B)p Fp(,)d Fq(10)p Fp(,)h(1675{1684)d (\(1997\).)-24 2668 y([A)m(C])261 b(M.Aizenman)40 b(and)g(P)-8 b(.Con)m(tucci,)43 b(\\On)d(the)h(Stabilit)m(y)d(of)i(the)h(Quenc)m (hed)h(State)f(in)431 2817 y(Mean)23 b(Field)d(Spin)i(Glass)f(Mo)s (dels")h Fk(Jou.)j(Stat.)g(Phys.)p Fp(,)f Fq(92)p Fp(,)h(N.)d(5/6,)h (765-783,)g(\(1998\).)431 2967 y(Av)-5 b(ailable)30 b(at)i (cond-mat/9712129.)-24 3199 y([GG])247 b(S.Ghirlanda)23 b(and)h(F.Guerra,)i(\\General)e(Prop)s(erties)h(of)f(o)m(v)m(erlap)h (probabilit)m(y)e(distri-)431 3349 y(bution)35 b(in)f(disordered)i (spin)g(systems.)h(T)-8 b(o)m(w)m(ard)36 b(P)m(arisi)f(ultrametricit)m (y",)e(a)m(v)-5 b(ailable)431 3498 y(at)32 b(cond-mat/9807333,)e (\(1998\).)-24 3730 y([FMPP1])67 b(S.F)-8 b(ranz,)29 b(M.Mezard,)h(G.P)m(arisi,)e(L.P)m(eliti,)f(\\Measuring)h(equilibrium)e (prop)s(erties)i(in)431 3880 y(aging)j(systems")j Fk(Phys.)h(R)-5 b(ev.)34 b(L)-5 b(ett.)p Fp(,)33 b Fq(81)p Fp(,)g(1758)f(\(1998\))-24 4112 y([FMPP2])67 b(S.F)-8 b(ranz,)41 b(M.Mezard,)h(G.P)m(arisi,)d(L.P) m(eliti,)g(\\The)h(resp)s(onse)g(of)f(glassy)g(systems)h(to)431 4262 y(random)d(p)s(erturbations:)53 b(A)38 b(bridge)f(b)s(et)m(w)m (een)j(equilibrium)35 b(and)j(o\013-equilibrium")431 4411 y(cond-mat/9903370)-24 4644 y([CK])255 b(P)-8 b(.Con)m(tucci,)38 b(A)e(Knauf,)h(\\Mean)f(Field)f(Stable)g(Quenc)m(hed)j(Measure")g(in)d (prepara-)431 4793 y(tion.)-24 5026 y([T)-8 b(AL])205 b(M.T)-8 b(alagrand,)35 b(\\The)h(Sherrington-Kirkpatric)m(k)d(mo)s (del:)47 b(a)35 b(c)m(hallenge)f(for)h(mathe-)431 5175 y(maticians",)30 b Fk(Pr)-5 b(ob.)35 b(and)f(R)-5 b(el.)35 b(Fields.)p Fp(,)c Fq(110)p Fp(,)i(109-176,)e(\(1998\).)1758 5682 y(10)p eop %%Page: 11 11 11 10 bop -24 171 a Fp([R])329 b(D.Ruelle,)37 b(\\A)h(mathematical)c (reform)m(ulation)i(of)h(Derrida's)g(REM)h(and)g(GREM,")431 320 y Fk(Commun.)c(Math.)h(Phys)p Fp(,)d Fq(108)p Fp(,)h(225{239)e (\(1987\).)-24 552 y([BS])278 b(E.Bolthausen)35 b(and)f(A.S.Sznitman,)g (\\On)g(Ruelle's)g(probabilit)m(y)e(cascades)k(and)f(an)431 702 y(abstract)e(ca)m(vit)m(y)g(metho)s(d")f(Comm)m(un.)g(Math.)h(Ph)m (ys.)h Fq(197)f Fp(247-276,)e(\(1998\))-24 934 y([AR])256 b(M.Aizenman)40 b(and)g(A.Ruzmaikina,)g(\\Quasi-stationary)f(states)i (of)e(the)i(Indy-500)431 1084 y(mo)s(del,")31 b Fk(in)j(pr)-5 b(ep)g(ar)g(ation)p Fp(.)-24 1316 y([P])335 b(G.P)m(arisi,)35 b(\\On)g(the)h(probabilistic)d(form)m(ulation)f(of)j(the)h(replica)f (approac)m(h)h(to)f(spin)431 1466 y(glasses,")e Fk(c)-5 b(ond-mat/9801081)p Fp(.)-24 1698 y([B])332 b(A.Bo)m(vier,)25 b(\\Statistical)20 b(Mec)m(hanics)k(of)e(Disordered)g(Systems")i (Lecture)g(notes)f(series)431 1848 y(of)32 b(Maph)m(ysto.)-24 2080 y([GT])254 b(F.Guerra,)38 b(F.L.)g(T)-8 b(oninelli,)36 b(\\The)i(Thermo)s(dynamic)f(Limit)e(in)i(Mean)h(Field)e(Spin)431 2230 y(Glass)23 b(Mo)s(dels".)g(T)-8 b(o)24 b(app)s(ear)f(in)g(CMP)-8 b(.)24 b(Av)-5 b(ailable)22 b(at:)38 b(h)m(ttp://arxiv.org/abs/cond-) 431 2379 y(mat/0204280)1758 5682 y(11)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF ---------------0206100342622--