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math.GR2023
The growth of the Green function for random walks and Poincar{é} series
Matthieu Dussaule, Wenyuan Yang, Longmin Wang
Given a probability measure on a finitely generated group , the Green function encodes many properties of the random walk associated with . Finding asymptotics…
math.GR2023
Uniform exponential growth for groups with proper product actions on hyperbolic spaces
Renxing Wan, Wenyuan Yang
This paper studies the locally uniform exponential growth and product set growth for a finitely generated group acting properly on a finite product of hyperbolic spaces. Under…
math.GR2023
Counting double cosets with application to generic 3-manifolds
Suzhen Han, Wenyuan Yang, Yanqing Zou
We study the growth of double cosets in the class of groups with contracting elements, including relatively hyperbolic groups, CAT(0) groups and mapping class groups among others.…