H. Oh

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20242026

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3 papers · 1 filter

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.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…