Rohan Sarkar

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20242026

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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…