English

On the local time of anisotropic random walk on Z^2

Probability 2023-02-21 v1

Abstract

We study the local time of the anisotropic random walk on the two-dimensional lattice Z^2, by establishing the exact asymptotic behavior of the N-step return probability to the origin.

Keywords

Cite

@article{arxiv.2302.10041,
  title  = {On the local time of anisotropic random walk on Z^2},
  author = {Endre Csáki and Antonia Földes},
  journal= {arXiv preprint arXiv:2302.10041},
  year   = {2023}
}

Comments

17 pages. arXiv admin note: text overlap with arXiv:2108.09854, arXiv:1501.02966