Random walks on groups and superlinear divergent geodesics

Kunal Chawla; Inhyeok Choi; Vivian He; Kasra Rafi

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arXiv · 2310.18506

Random walks on groups and superlinear divergent geodesics

Kunal Chawla·Inhyeok Choi·Vivian He·Kasra Rafi

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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.

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Kunal Chawla, Inhyeok Choi, Vivian He, Kasra Rafi. 2023-10-27. Random walks on groups and superlinear divergent geodesics. https://arxiv.org/abs/2310.18506

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