Random walks on groups and superlinear divergent geodesics
Geometric Topology
2023-12-06 v2 Group Theory
Probability
Abstract
In this paper, we study random walks on groups that contain superlinear divergent geodesics, in the line of thoughts of Goldsborough-Sisto. The existence of a superlinear divergent geodesic is a quasi-isometry invariant which allows us to execute Gou\"ezel's pivoting technique. We develop the theory of superlinear divergence and establish a central limit theorem for random walks on these groups.
Cite
@article{arxiv.2310.18506,
title = {Random walks on groups and superlinear divergent geodesics},
author = {Kunal Chawla and Inhyeok Choi and Vivian He and Kasra Rafi},
journal= {arXiv preprint arXiv:2310.18506},
year = {2023}
}
Comments
Correction on references and background and minor edits