Local Central Limit Theorem for a Random Walk Perturbed in One Point
Probability
2019-08-09 v3
Abstract
We consider a symmetric random walk on the -dimensional lattice, whose exit probability from the origin is modified by an antisymmetric perturbation and prove the local central limit theorem for this process. A short-range correction to diffusive behaviour appears in any dimension along with a long-range correction in the one-dimensional case.
Cite
@article{arxiv.1605.06227,
title = {Local Central Limit Theorem for a Random Walk Perturbed in One Point},
author = {Giuseppe Genovese and Renato Lucà},
journal= {arXiv preprint arXiv:1605.06227},
year = {2019}
}