15 citations · 62 across the 18 of their papers we have counts for
20 papers
On topologically transitive subsets of flag manifolds
Subhadip Dey, Sami Douba, Konstantinos Tsouvalas
We discuss some contexts in which the topological dynamics of certain Anosov subgroups of higher-rank Lie groups on "bad" subsets of flag manifolds can be analyzed using results fr…
On some aspects of discrete groups acting ergodically on the boundary
Subhadip Dey, Mikołaj Frączyk, Sebastian Hurtado
We show that if is a real semisimple Lie group and is a discrete subgroup with slow growth, in the sense that its growth indicator function is smaller than , then …
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…
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…
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…
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…
Rigidity of convex co-compact diagonal actions
Subhadip Dey, Beibei Liu
Kleiner-Leeb and Quint showed that convex subsets in higher-rank symmetric spaces are very rigid compared to rank 1 symmetric spaces. Motivated by this, we consider convex subsets…
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…
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,…
Restrictions on Anosov subgroups of Sp(2n,R)
Subhadip Dey, Zachary Greenberg, J. Maxwell Riestenberg
Let and let be a non-empty subset. We prove that if contains an odd integer, then any -Anosov subgroup of ${\rm Sp}(2n,\mathbb{R}…
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…
On Borel Anosov subgroups of
Subhadip Dey
We study the antipodal subsets of the full flag manifolds . As a consequence, for natural numbers such that and $d \not\equiv 0,\pm1 \…
Complex hyperbolic Kleinian groups of large critical exponents
Subhadip Dey, Beibei Liu
In this article, we show that there exist discrete isometry groups of the - and -dimensional complex hyperbolic spaces with critical exponents arbitrarily close to but strict…
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.
Spherical metrics with conical singularities on 2-spheres
Subhadip Dey
Suppose that are positive numbers and . Does there exist a sphere with a spherical metric with conical singularities of angles $2πθ_1,2πθ_2,\dots,2π…