H. Oh

activity

20242026

collaborators

6 papers

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.GR2026

Directional growth of coamenable normal subgroups: counterexamples and rigidity

Subhadip Dey, Hee Oh, Konstantinos Tsouvalas

Roblin's theorem asserts that, in rank one, a coamenable normal subgroup has the same critical exponent as its ambient group. Natural higher-rank analogues would predict that coame…

math.GT2025

Jordan and Cartan spectra in higher rank with applications to correlations

Michael Chow, Hee Oh

For a given $d$ -tuple $I ¨ = (I ¨ _{1}, \dots, I ¨ _{d}) : I^ \to G$ of faithful Zariski dense convex cocompact representations of a finitely generated group $I^$ , we study the correlations of len…

math.GT2025

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

Dongryul M. Kim, Hee Oh

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

math.DS2025

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 $I^ < G$ , we show that a $I^$ -conformal measure is supported on the limit set of $I^$ if…

math.GT2024

Conformal measure rigidity for representations via self-joinings

Dongryul M. Kim, Hee Oh

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