10 citations · 25 across the 9 of their papers we have counts for
11 papers
Dynamic Nevanlinna-Pick Theory, Covariance Dilations, and Non-commutative Varieties
Sourav Ghosh, Haripada Sau
We establish a dynamic generalization of Nevanlinna-Pick interpolation for functions invariant under the action of a finite Blaschke product , reducing global bounded holomorphi…
Dilation and Model Theory for Pairs of Contractions with a Twisted Commutation Relation
Sourav Ghosh
In this note, we develop a parallel theory of the classical Sz.-Nagy--Foias dilation and model theory for a single contraction operator in the setting of pairs of \em{-commuting…
Affine Anosov representations
Sourav Ghosh
In this survey article we discuss about possible generalizations of Anosov representations in the affine setting and their consequences.
Deformation of Fuchsian representations and proper affine actions
Sourav Ghosh
The main goal of this article is to generalize Mess' work and using results from Labourie--Wentworth, Potrie--Sambarino and Smilga, to show that inside Hitchin representations, inf…
Finite step Rigidity of Hitchin representations and special Margulis-Smilga spacetimes
Sourav Ghosh
In this article we use the "escape from subvarieties lemma" introduced by Eskin--Mozes--Oh to prove finite step rigidity results for the Jordan-Lyapunov projection spectra of Hitch…
Isospectrality of Margulis-Smilga spacetimes for irreducible representations of real split semisimple Lie groups
Sourav Ghosh
In this article, we look at real split semisimple algebraic groups with trivial center and faithful irreducible algebraic representations of …
Margulis Multiverse: Infinitesimal Rigidity, Pressure Form and Convexity
Sourav Ghosh
In this article we construct the pressure form on the moduli space of higher dimensional Margulis spacetimes without cusps and study its properties. We show that the Margulis space…
Avatars of Margulis invariants and proper actions
Sourav Ghosh
In this article, we provide a necessary and sufficient criterion for proper actions on in terms of certain special Anosov representations in …
Affine Anosov representations and proper actions
Sourav Ghosh, Nicolaus Treib
We define the notion of affine Anosov representations of word hyperbolic groups into the affine group . We then show that a representa…
The Pressure Metric on the Margulis Multiverse
Sourav Ghosh
This paper defines the pressure metric on the Moduli space of Margulis spacetimes without cusps and shows that it is positive definite on the constant entropy sections. It also dem…
Anosov Structure on Margulis Space Time
Sourav Ghosh
In this paper we describe the stable and unstable leaves for the geodesic flow on the space of non-wandering spacelike geodesics of a Margulis Space Time and prove contraction prop…