Convergence in natural parametrization of random walk frontier
Probability
2025-04-21 v1
Abstract
In this paper, we show that the frontier of planar random walk converges weakly under natural parametrization to that of planar Brownian motion. As an intermediate result, we also show the convergence of the renormalized occupation measure.
Cite
@article{arxiv.2504.13743,
title = {Convergence in natural parametrization of random walk frontier},
author = {Yifan Gao and Xinyi Li and Runsheng Liu and Xiangyi Liu and Daisuke Shiraishi},
journal= {arXiv preprint arXiv:2504.13743},
year = {2025}
}
Comments
33 pages, 4 figures