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math.GT2025
Brownian motion and orbit counting of Kleinian groups
Yanlong Hao, Beibei Liu
In this paper, we investigate the relationship between the divergence of Kleinian groups and the recurrence of simple random walks on the Schreier graph associated with . In…
math.GT2025
Marked length varieties and arithmeticity
Yanlong Hao
This paper gives an example of a non-arithmetic surface with marked length variety rigidity.