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math.DS2024
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 Sulliva…
math.DS2023
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…
math.DS2023
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…