14 citations · 36 across the 10 of their papers we have counts for
10 papers
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…
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…
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds
Hyungryul Baik, Eiko Kin, Hyunshik Shin +1
Let be a hyperbolic fibered 3-manifold. We study properties of sequences of fibers and monodromies for primitive integral classes in the fibered cone of $M…
On Translation Lengths of Anosov Maps on Curve Graph of Torus
Hyungryul Baik, Changsub Kim, Sanghoon Kwak +1
We show that an Anosov map has a geodesic axis on the curve graph of a torus. The direct corollary of our result is the stable translation length of an Anosov map on the curve grap…
Minimal asymptotic translation lengths of Torelli groups and pure braid groups on the curve graph
Hyungryul Baik, Hyunshik Shin
In this paper, we show that the minimal asymptotic translation length of the Torelli group of the surface of genus on the curve graph asymptotically behav…
An upper bound on the asymptotic translation lengths on the curve graph and fibered faces
Hyungryul Baik, Hyunshik Shin, Chenxi Wu
We study the asymptotic behavior of the asymptotic translation lengths on the curve complexes of pseudo-Anosov monodromies in a fibered cone of a fibered hyperbolic 3-manifold …
Spectral radius of a star with one long arm
Hyunshik Shin
A tree is said to be starlike if exactly one vertex has degree greater than two. In this paper, we will study the spectral properties of , that is, the starlike tre…
Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex
Eiko Kin, Hyunshik Shin
Let be a hyperbolic fibered 3-manifold with and let be a fiber with pseudo-Anosov monodromy . We show that there exists a sequence of fibers…
Pseudo-Anosov mapping classes not arising from Penner's construction
Hyunshik Shin, Balázs Strenner
We show that Galois conjugates of stretch factors of pseudo-Anosov mapping classes arising from Penner's construction lie off the unit circle. As a consequence, we show that for al…
Algebraic degrees of stretch factors in mapping class groups
Hyunshik Shin
We explicitly construct pseudo-Anosov maps on the closed surface of genus with orientable foliations whose stretch factor is a Salem number with algebraic degree . Usin…