1 citations · 1 across the 7 of their papers we have counts for
8 papers
Random Quotients of Hyperbolic Spaces with Respect to WPD Actions and Linear Connectivity of the Boundary
Inhyeok Choi, Henry Talbott
We study random quotients of acylindrically hyperbolic groups and hierchically hyperbolic groups, whose (partial) hyperbolicity is captured by their actions on Gromov hyperbolic sp…
Non-arithmeticity of length spectra of subgroups of mapping class groups
Inhyeok Choi, Dongryul M. Kim
In this paper, we prove that every non-elementary subgroup of the mapping class group of a surface has non-arithmetic Teichmüller length spectrum. Namely, Teichmüller translation l…
Divergence-type semigroups in Kleinian groups and Hausdorff dimension
Inhyeok Choi
Let be a non-elementary, non-convex-cocompact Kleinian group acting on . We show that the Hausdorff dimension of the sublinearly conical Myrberg limit set of $Γ…
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…
Counting pseudo-Anosovs as weakly contracting isometries
Inhyeok Choi
We show that pseudo-Anosov mapping classes are generic in every Cayley graph of the mapping class group of a finite-type hyperbolic surface. Our method also yields an analogous res…
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…
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…
Random walks on groups and superlinear divergent geodesics
Kunal Chawla, Inhyeok Choi, Vivian He +1
In this paper, we study random walks on groups that contain superlinear divergent geodesics, in the line of thoughts of Goldsborough-Sisto. The existence of a superlinear divergent…