Long time behaviour of random walks on the integer lattice
Probability
2015-12-31 v1
Abstract
We consider an irreducible finite range random walk on the -dimensional integer lattice and study asymptotic behaviour of its transition function . In particular, for simple random walk our asymptotic formula is valid as long as tends to zero.
Cite
@article{arxiv.1512.09035,
title = {Long time behaviour of random walks on the integer lattice},
author = {Bartosz Trojan},
journal= {arXiv preprint arXiv:1512.09035},
year = {2015}
}