41 citations · 274 across the 53 of their papers we have counts for
60 papers
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…
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…
Jordan and Cartan spectra in higher rank with applications to correlations
Michael Chow, Hee Oh
For a given -tuple of faithful Zariski dense convex cocompact representations of a finitely generated group , we study the correlations of length s…
Non-concentration property of Patterson-Sullivan measures for Anosov subgroups
Dongryul M. Kim, Hee Oh
Let be a connected semisimple real algebraic group. For a Zariski dense Anosov subgroup with respect to a parabolic subgroup , we prove that any -Patterson-Sulliv…
Infinite volume and atoms at the bottom of the spectrum
Sam Edwards, Mikolaj Fraczyk, Minju Lee +1
Let be a higher rank simple real algebraic group, or more generally, any semisimple real algebraic group with no rank one factors and the associated Riemannian symmetric sp…
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 , , the Hausdorff dimension of the limit se…