7 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…
Fractal closures of geodesic planes in Hitchin manifolds
Subhadip Dey, Hee Oh
Ratner's theorem implies topological rigidity of immersed totally geodesic subspaces of noncompact type in finite-volume locally symmetric spaces. In higher rank and infinite volum…
Ahlfors regularity of Patterson-Sullivan measures of Anosov groups and applications
Subhadip Dey, Dongryul M. Kim, Hee Oh
For all Zarski dense Anosov subgroups of a semisimple real algebraic group, we prove that their limit sets are Ahlfors regular for intrinsic conformal premetrics. As a consequence,…
Irreducible groups and ergodicity in the boundary
Subhadip dey, Sebastian Hurtado
We show that if is a real semi-simple Lie group, and is a discrete subgroup of containing a subgroup acting ergodically (in a strong sense) on the Furstenberg bou…
Remarks on discrete subgroups with full limit sets in higher rank Lie groups
Subhadip Dey, Sebastian Hurtado
We show that real semi-simple Lie groups of higher rank contain (infinitely generated) discrete subgroups with full limit sets in the corresponding Furstenberg boundaries. Addition…
Deformations of Anosov subgroups: Limit cones and Growth indicators
Subhadip Dey, Hee Oh
Let be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of under a certain convexity assumpti…