Conformal dynamics at infinity for groups with contracting elements

W Yang - arXiv preprint arXiv:2208.04861, 2022 - arxiv.org
This paper develops a theory of conformal density at infinity for groups with contracting
elements. We start by introducing a class of convergence boundary encompassing many …

Random walks on mapping class groups

H Baik, I Choi - EMS Surveys in Mathematical Sciences, 2023 - ems.press
This survey is concerned with random walks on mapping class groups. We illustrate how the
actions of mapping class groups on Teichmüller spaces or curve complexes reveal the …

Conjugacy growth and width of certain branch groups

E Fink - International Journal of Algebra and Computation, 2014 - World Scientific
The conjugacy growth function counts the number of distinct conjugacy classes in a ball of
radius n. We give a lower bound for the conjugacy growth of certain branch groups, among …

Boundary representations of mapping class groups

B Ma - arXiv preprint arXiv:2208.10223, 2022 - arxiv.org
Let $ S= S_g $ be a closed orientable surface of genus $ g\geq 2$ and $ Mod (S) $ be the
mapping class group of $ S $. In this paper, we show that the boundary representation of …

Random walks on mapping class groups

I Choi, H Baik - arXiv preprint arXiv:2110.04868, 2021 - arxiv.org
This survey is concerned with random walks on mapping class groups. We illustrate how the
actions of mapping class groups on Teichm\" uller spaces or curve complexes reveal the …