4 papers
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…
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 ti…
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…