19 citations · 49 across the 29 of their papers we have counts for
6 papers · 1 filter
Ergodic dichotomy for subspace flows in higher rank
Dongryul M. Kim, Hee Oh, Yahui Wang
In this paper, we study the ergodicity of a one-parameter diagonalizable subgroup of a connected semisimple real algebraic group acting on a homogeneous space or, more generall…
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…
Non-concentration property of Patterson-Sullivan measures for Anosov subgroups
Dongryul M. Kim, Hee Oh
Let be a connected semisimple real algebraic group. For a Zariski dense Anosov subgroup with respect to a parabolic subgroup , we prove that any -Patterson-Sulliv…
Hausdorff dimension of directional limit sets for self-joinings of hyperbolic manifolds
Dongryul M. Kim, Yair Minsky, Hee Oh
The classical result of Patterson and Sullivan says that for a non-elementary convex cocompact subgroup , , the Hausdorff dimension of the limit se…
Rigidity of Kleinian groups via self-joinings: measure theoretic criterion
Dongryul M. Kim, Hee Oh
Let . Let be a Zariski dense convex cocompact subgroup and be its limit set. Let be a…
Conformal measure rigidity for representations via self-joinings
Dongryul M. Kim, Hee Oh
Let be a Zariski dense discrete subgroup of a connected simple real algebraic group . We discuss a rigidity problem for discrete faithful representations and…