English

Log-concavity in planar random walks

Combinatorics 2023-05-11 v2 Probability

Abstract

We prove log-concavity of exit probabilities of lattice random walks in certain planar regions.

Keywords

Cite

@article{arxiv.2106.10640,
  title  = {Log-concavity in planar random walks},
  author = {Swee Hong Chan and Igor Pak and Greta Panova},
  journal= {arXiv preprint arXiv:2106.10640},
  year   = {2023}
}

Comments

10 pages, 5 figures. The proof is somewhat expanded. Details, new figure and additional references added. To appear in Combinatorica

R2 v1 2026-06-24T03:23:47.414Z