Rohan Sarkar

activity

20242026

collaborators

4 papers

math.PR2026

Heat content and spectrum for subordinated sub-Laplacians

Maria Gordina, Liangbing Luo, Andrea Pinamonti +1

We study heat content and spectral properties of subordinated sub-Laplacians on arbitrary Carnot groups. We consider restrictions of such operators to bounded open sets with zero D…

math.PR2025

Spectral theory for Lévy and Lévy-Ornstein-Uhlenbeck semigroups on step 2 Carnot groups

Maria Gordina, Rohan Sarkar

We consider non-local perturbations $Δ_{G}^{ψ}$ of sub-Laplacians on a step $2$ Carnot group $G$ . The perturbations are by translation-invariant non-local operators acting along the ve…

math.PR2025

Spectral theory for non-local Ornstein-Uhlenbeck operators

Rohan Sarkar

We consider non-local Ornstein-Uhlenbeck (OU) operators generating ergodic OU processes driven by Lévy processes. These operators are generally non-normal in the $L^{2}$ space weight…

math.PR2024

Dimension-independent functional inequalities by tensorization and projection arguments

Fabrice Baudoin, Maria Gordina, Rohan Sarkar

We study stability under tensorization and projection-type operations of gradient-type estimates and other functional inequalities for Markov semigroups on metric spaces. Using tra…