Balanced Excited Random Walk in Two Dimensions
Probability
2021-11-01 v1
Abstract
We give non-trivial upper and lower bounds on the range of the so-called Balanced Excited Random Walk in two dimensions, and verify a conjecture of Benjamini, Kozma and Schapira. To the best of our knowledge these are the first non-trivial results for this 2-dimensional model
Cite
@article{arxiv.2110.15889,
title = {Balanced Excited Random Walk in Two Dimensions},
author = {Omer Angel and Mark Holmes and Alejandro Ramírez},
journal= {arXiv preprint arXiv:2110.15889},
year = {2021}
}
Comments
31 pages, 3 figures