5 papers · 1 filter
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…
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…
Anosov representations of amalgams
Subhadip Dey, Konstantinos Tsouvalas
For uniform lattices in rank 1 Lie groups, we construct Anosov representations of virtual doubles of along certain quasiconvex subgroups. We also show that virtual HNN ex…
Klein-Maskit combination theorem for Anosov subgroups: Amalgams
Subhadip Dey, Michael Kapovich
The classical Klein-Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combinatio…