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

collaborators

Showing 2023Show all

6 papers · 1 filter

math.GT2023

Jordan and Cartan spectra in higher rank with applications to correlations

Michael Chow, Hee Oh

For a given $d$ -tuple $ρ = (ρ_{1}, \dots, ρ_{d}) : Γ \to G$ of faithful Zariski dense convex cocompact representations of a finitely generated group $Γ$ , we study the correlations of length s…

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.SP2023

Infinite volume and atoms at the bottom of the spectrum

Sam Edwards, Mikolaj Fraczyk, Minju Lee +1

Let $G$ be a higher rank simple real algebraic group, or more generally, any semisimple real algebraic group with no rank one factors and $X$ the associated Riemannian symmetric sp…

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.GT2023

Rigidity of Kleinian groups via self-joinings: measure theoretic criterion

Dongryul M. Kim, Hee Oh

Let $n, m \geq 2$ . Let $Γ < SO^{\circ} (n + 1, 1)$ be a Zariski dense convex cocompact subgroup and $Λ \subset S^{n}$ be its limit set. Let $ρ : Γ \to SO^{\circ} (m + 1, 1)$ be a…

math.GT2023★ 1 cited

Conformal measure rigidity for representations via self-joinings

Dongryul M. Kim, Hee Oh

Let $Γ$ be a Zariski dense discrete subgroup of a connected simple real algebraic group $G_{1}$ . We discuss a rigidity problem for discrete faithful representations $ρ : Γ \to G_{2}$ and…