19 citations · 49 across the 29 of their papers we have counts for
5 papers · 1 filter
Extremal entropy for products of Fuchsian representations
Richard Canary, Dongryul Kim
In this paper, we count the number of (almost) extremally stretched closed geodesics for a pair of (non-conjugate) Fuchsian representations of a closed surface group, and show that…
Strict concavity of the growth indicator function for relatively Anosov groups
Dongryul M. Kim, Hee Oh, Andrew Zimmer
Let be a discrete subgroup of a connected semisimple real algebraic group of higher rank. The growth indicator function records the directional exponential growth of the…
Global shadow estimates and Hausdorff measure criteria in higher rank
Dongryul M. Kim, Hee Oh
Patterson--Sullivan measures encode the distribution of orbits of discrete group actions near the boundary. We prove a global shadow lemma for Patterson--Sullivan measures associat…
Non-arithmeticity of length spectra of subgroups of mapping class groups
Inhyeok Choi, Dongryul M. Kim
In this paper, we prove that every non-elementary subgroup of the mapping class group of a surface has non-arithmetic Teichmüller length spectrum. Namely, Teichmüller translation l…
Classification of horospherical invariant measures in higher rank: The Full Story
Inhyeok Choi, Dongryul M. Kim
In this paper, we classify horospherical invariant Radon measures for Anosov subgroups of arbitrary semisimple real algebraic groups. This generalizes the works of Burger and Robli…