Rohan Sarkar

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20242026

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math.PR2026

Spectral theory of non-local Ornstein-Uhlenbeck operators

Rohan Sarkar

We consider non-local Ornstein-Uhlenbeck (OU) operators that correspond to Ornstein-Uhlenbeck processes driven by LÃ©vy processes. These are ergodic Markov processes and the OU ope…

math.PR2025

Spectral theory for LÃ©vy and LÃ©vy-Ornstein-Uhlenbeck semigroups on step 2 Carnot groups

Maria Gordina, Rohan Sarkar

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

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…