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math.GR2024
Smoothing countable group actions on metrizable spaces
Inhyeok Choi, Sang-hyun Kim
We prove that every topological action of a countable group on a metrizable space can be realized as a bi-Lipschitz action with respect to some compatible metric. This extends a re…
math.GR2024
Confined subgroups in groups with contracting elements
Inhyeok Choi, Ilya Gekhtman, Wenyuan Yang +1
In this paper, we study the growth of confined subgroups through boundary actions of groups with contracting elements. We establish that the growth rate of a confined subgroup is s…
math.GR2024
Contracting isometries and differentiability of the escape rate
Inhyeok Choi
Let be a countable group whose action on a metric space involves a contracting isometry. This setting naturally encompasses groups acting on Gromov hyperbolic spaces, Teich…