From the 1 of 18 linked papers with an AI index.
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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…
Classification of horospherical invariant measures in higher rank: Teaser
Inhyeok Choi, Dongryul M. Kim
This is an expository/teaser version of [arXiv:2601.22668] for a very special case of products of spaces. We keep this on arXiv as many parts of the argument of…
Invariant measures on the space of measured laminations for subgroups of mapping class group
Inhyeok Choi, Dongryul M. Kim
For a non-elementary subgroup of the mapping class group of a surface, we study its invariant Radon measures on the space of measured laminations, by classifying them on the recurr…
Properly discontinuous actions, growth indicators, and conformal measures for transverse subgroups
Dongryul M. Kim, Hee Oh, Yahui Wang
Let be a connected semisimple real algebraic group. The class of transverse subgroups of includes all discrete subgroups of rank one Lie groups and any subgroups of Anosov…
Horocycles in hyperbolic 3-manifolds with round SierpiÅski limit sets
Dongryul M. Kim, Minju Lee
Let M be a geometrically finite hyperbolic 3-manifold whose limit set is a round SierpiÅski gasket, i.e. M is geometrically finite and acylindrical with a compact, totally geodesi…
Relatively Anosov groups: finiteness, measure of maximal entropy, and reparameterization
Dongryul M. Kim, Hee Oh
For a geometrically finite Kleinian group , the Bowen-Margulis-Sullivan measure is finite and is the unique measure of maximal entropy for the geodesic flow, as shown by Sulliv…