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

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 93-138.tex