3 papers
math.GT2020
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…
math.GT2018
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…
math.CO2017
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…