31 citations · 113 across the 46 of their papers we have counts for
7 papers · 1 filter
Reducible normal generators for mapping class groups are abundant
Hyungryul Baik, Dongryul M. Kim, Chenxi Wu
In this article, we study the normal generation of the mapping class group. We first show that a mapping class is a normal generator if its restriction on the invariant subsurface…
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…
Characterization of Fuchsian groups as laminar groups & the structure theorem of hyperbolic 2-orbifolds
Hyungryul Baik, KyeongRo Kim
Thurston and Calegari-Dunfield showed that the fundamental group of some tautly foliated hyperbolic 3-manifold acts on the circle in a distinctive way that the action preserves som…
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…
Minimal asymptotic translation lengths on curve complexes and homology of mapping tori
Hyungryul Baik, Dongryul M. Kim, Chenxi Wu
Let be a closed orientable surface of genus . Consider the minimal asymptotic translation length on the Teichmüller space of , among pseud…
On the finiteness property of hyperbolic simplicial actions: the right-angled Artin groups and their extension graphs
Hyungryul Baik, Donggyun Seo, Hyunshik Shin
We study the right-angled Artin group action on the extension graph. We show that this action satisfies a certain finiteness property, which is a variation of a condition introduce…
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,…