19 citations · 49 across the 29 of their papers we have counts for
5 papers · 1 filter
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 asymptotic translation lengths on the sphere complexes and the generalized fibered cone
Hyungryul Baik, Dongryul M. Kim, Chenxi Wu
In this paper, we study the asymptotic translation lengths on the sphere complexes of monodromies of a manifold fibered over the circle. Given a compact mapping torus, we define a…
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…
Connected cubic graphs with the maximum number of perfect matchings
Peter Horak, Dongryul Kim
It is proved that for , the number of perfect matchings in a simple connected cubic graph on vertices is at most , with being the -th Fibonacci n…
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…