activity
20172026
most citedPatterson-Sullivan theory for Anosov subgroups

15 citations · 62 across the 18 of their papers we have counts for

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8 papers · 1 filter

math.GT2026

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…

math.GT2025

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…

math.GT2024★ 1 cited

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…

math.GT2024

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…

math.GT2024

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…

math.GT2023

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}…

math.GT2022★ 5 cited

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 \…

math.GT2022

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…