93-138 Toth Balint
Limit Theorem for the Local Time of Bond-True Self-Avoiding Walk on Z (41K, AmSTeX (ams preprint style)) May 18, 93
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Abstract. The bond-true self-avoiding 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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