15 citations · 62 across the 18 of their papers we have counts for
10 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…
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 bound…
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 exte…
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,…
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…
Klein-Maskit combination theorem for Anosov subgroups: Free products
Subhadip Dey, Michael Kapovich
We prove a generalization of the classical Klein-Maskit combination theorem, in the free product case, in the setting of Anosov subgroups. Namely, if and are Anosov sub…
A note on complex-hyperbolic Kleinian groups
Subhadip Dey, Michael Kapovich
Let be a discrete group of isometries acting on the complex hyperbolic -space . In this note, we prove that if is convex-cocompact, torsion-free…
Patterson-Sullivan theory for Anosov subgroups
Subhadip Dey, Michael Kapovich
We extend several notions and results from the classical Patterson-Sullivan theory to the setting of Anosov subgroups of higher rank semisimple Lie groups, working primarily with i…
Ping-pong in Hadamard manifolds
Subhadip Dey, Michael Kapovich, Beibei Liu
In this paper, we prove a quantitative version of the Tits alternative for negatively pinched manifolds . Precisely, we prove that a nonelementary discrete isometry subgroup of…
A combination theorem for Anosov subgroups
Subhadip Dey, Michael Kapovich, Bernhard Leeb
We prove an analogue of Klein combination theorem for Anosov subgroups by using a local-to-global principle for Morse quasigeodesics.