1 citations · 1 across the 5 of their papers we have counts for
11 papers
Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori
Hyungryul Baik, Juhun Baik, Changsub Kim +1
We investigate the relation between the topological entropy of pseudo-Anosov maps on surfaces with punctures and the rank of the first homology of their mapping tori. On the surfac…
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…
Foliations from left orders
Hyungryul Baik, Sebastian Hensel, Chenxi Wu
We describe a construction which takes as an input a left order of the fundamental group of a manifold, and outputs a (singular) foliation of this manifold which is analogous to a…
Topological and dynamical properties of Torelli groups of partitioned surfaces
Hyungryul Baik, Hyunshik Shin, Philippe Tranchida
Putman introduced a notion of a partitioned surface which is a surface with boundary with decoration restricting how the surface can be embedded into larger surfaces, and defined t…
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…
Laminar groups and 3-manifolds
Hyungryul Baik, KyeongRo Kim
Thurston showed that the fundamental group of a close atoroidal 3-manifold admitting a co-oriented taut foliation acts faithfully on the circle by orientation-preserving homeomorph…