 93138 Toth Balint
 Limit Theorem for the Local Time of
BondTrue SelfAvoiding Walk on Z
(41K, AmSTeX (ams preprint style))
May 18, 93

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Abstract. The bondtrue selfavoiding walk is a nearest neighbour random
walk on Z for which the probability of jumping along a
bond of the lattice is proportional to
exp(g times {number of previous jumps along that bond}).
We prove a limit theorem for the distribution of the local time
process of this walk. A consequence of the main theorem is a
limit law for n^{3/2}T_n where T_n is the first hitting
time of the lattice site at distance $n$ from the origin.
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93138.tex