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math.GT2025
On random walks on the mapping class group
Ursula Hamenstädt
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…
math.GT2025
An EZ-structure for the mapping class group
Ursula Hamenstädt
We construct a boundary for the mapping class group Mod(S) of a surface S of finite type. The action of Mod(S) on this boundary is minimal, strongly proximal and topologically free…