4 papers
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…
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…
A note on the singularity conjecture for infinite covolume discrete subgroups
Dongryul M. Kim, Andrew Zimmer
We consider random walks on semisimple Lie groups where the support of the step distribution generates (as a group) a Zariski dense discrete subgroup of infinite covolume. When the…
Horocycles in hyperbolic 3-manifolds with round Sierpiński limit sets
Dongryul M. Kim, Minju Lee
Let M be a geometrically finite hyperbolic 3-manifold whose limit set is a round Sierpiński gasket, i.e. M is geometrically finite and acylindrical with a compact, totally geodesic…