6 citations · 16 across the 11 of their papers we have counts for
11 papers
Genericity of contracting geodesics in groups
Kunal Chawla, Inhyeok Choi, Giulio Tiozzo
Let G be a finitely generated group and Cay(G, S) be the Cayley graph of G with respect to a finite generating set S. We characterize the Gromov hyperbolicity of G in terms of the…
Random walks and contracting elements III: Outer space and outer automorphism group
Inhyeok Choi
Continuing from the author's previous article 'Random walks and contracting elements I', we study random walks on (possibly asymmetric) metric spaces using the bounded geodesic ima…
Random walks and contracting elements II: Translation length and Quasi-isometric embedding
Inhyeok Choi
Continuing from a companion article: 'Random walks and contracting elements I: Deviation inequality and limit laws', we study random walks on metric spaces with contracting element…
Random walks and contracting elements I: Deviation inequality and Limit laws
Inhyeok Choi
We study random walks on metric spaces with contracting isometries. In this first article of the series, we establish sharp deviation inequalities by adapting Gouëzel's pivotal tim…
Random walks on mapping class groups
Inhyeok Choi, Hyungryul Baik
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 nature…
Pseudo-Anosovs are exponentially generic in mapping class groups
Inhyeok Choi
Given a finite generating set , let us endow the mapping class group of a closed hyperbolic surface with the word metric for . We discuss the following question: does the pro…
Central limit theorem and geodesic tracking on hyperbolic spaces and Teichmüller spaces
Inhyeok Choi
We study random walks on the isometry group of a Gromov hyperbolic space or Teichmüller space. We prove that the translation lengths of random isometries satisfy a central limit th…
Linear growth of translation lengths of random isometries on Gromov hyperbolic spaces and Teichmüller spaces
Hyungryul Baik, Inhyeok Choi, Dongryul M. Kim
We investigate the translation lengths of group elements that arise in random walks on the isometry groups of Gromov hyperbolic spaces. In particular, without any moment condition,…
Simple length spectra as moduli for hyperbolic surfaces and rigidity of length identities
Hyungryul Baik, Inhyeok Choi, Dongryul M. Kim
In this article, we revisit classical length identities enjoyed by simple closed curves on hyperbolic surfaces. We state and prove the rigidity of such identities over Teichmüller…
On the surjectivity of the Symplectic representation of the mapping class group
Hyungryul Baik, Inhyeok Choi, Dongryul M. Kim
In this note, we study the symplectic representation of the mapping class group. In particular, we discuss the surjecivity of the representation restricted to certain mapping class…
Topological entropy of pseudo-Anosov maps from a typical Thurston's construction
Hyungryul Baik, Inhyeok Choi, Dongryul M. Kim
In this paper, we develop a way to extract information about a random walk associated with a typical Thurston's construction. We first observe that a typical Thurston's constructio…