H. Oh

activity

20012026

most citedEquidistribution and Counting for orbits of geometrically finite hyperbolic groups

41 citations · 274 across the 53 of their papers we have counts for

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36 papers · 1 filter

math.DS2026

A dynamical proof of non-arithmeticity of Jordan spectra

Hee Oh, Pratyush Sarkar

We give a dynamical proof of Benoist's non-arithmeticity theorem for Jordan spectra of Zariski dense subgroups of connected semisimple real algebraic groups. After passing to a Zar…

math.DS2023

Non-concentration property of Patterson-Sullivan measures for Anosov subgroups

Dongryul M. Kim, Hee Oh

Let $G$ be a connected semisimple real algebraic group. For a Zariski dense Anosov subgroup $Γ < G$ with respect to a parabolic subgroup $P_{θ}$ , we prove that any $Γ$ -Patterson-Sulliv…

math.DS2023★ 1 cited

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 $Γ < SO^{\circ} (n, 1)$ , $n \geq 2$ , the Hausdorff dimension of the limit se…

math.DS2022

Dichotomy and measures on limit sets of Anosov groups

Minju Lee, Hee Oh

Let $G$ be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup $Γ < G$ , we show that a $Γ$ -conformal measure is supported on the limit set of $Γ$ if an…

math.DS2022

On denseness of horospheres in higher rank homogeneous spaces

Or Landesberg, Hee Oh

Let $G$ be a connected, semisimple real algebraic group and $Γ < G$ be a Zariski dense discrete subgroup. Let $N$ denote a maximal horospherical subgroup of $G$ , and $P = M A N$ the m…

math.DS2021

Uniqueness of conformal measures and local mixing for Anosov groups

Sam Edwards, Minju Lee, Hee Oh

In the late seventies, Sullivan showed that for a convex cocompact subgroup $Γ$ of $SO^{\circ} (n, 1)$ with critical exponent $δ > 0$ , any $Γ$ -conformal measure on $\parti…