3 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 of sub-Laplacians on a step Carnot group . The perturbations are by translation-invariant non-local operators acting along the ve…
math.PR2025
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 Lévy processes. These are ergodic Markov processes and the OU oper…