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arXiv · 2507.09625

On random walks on the mapping class group

Ursula Hamenstädt
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Abstract

We define an electrification of the curve graph of a surface S of finite type and use it to identify the Poisson boundary of a random walk on the mapping class group of S with some logarithmic moment condition as a stationary measure on the space of minimal and maximal geodesic laminations on $S$, equipped with the Hausdorff topology.

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Ursula Hamenstädt. 2025-07-13. On random walks on the mapping class group. https://arxiv.org/abs/2507.09625

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