4 papers
A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators
Pierre Patie, Aditya Vaidyanathan
The aim of this paper is to offer an original and comprehensive spectral theoretical approach to the study of convergence to equilibrium, and in particular of the hypocoercivity ph…
On non-local ergodic Jacobi semigroups: spectral theory, convergence-to-equilibrium and contractivity
Patrick Cheridito, Pierre Patie, Anna Srapionyan +1
In this paper, we introduce and study non-local Jacobi operators, which generalize the classical (local) Jacobi operators. We show that these operators extend to generators of ergo…
The log-Lévy moment problem via Berg-Urbanik semigroups
Pierre Patie, Aditya Vaidyanathan
We consider the Stieltjes moment problem for the Berg-Urbanik semigroups which form a class of multiplicative convolution semigroups on that is in bijection with the…
Non-classical Tauberian and Abelian type criteria for the moment problem
Pierre Patie, Aditya Vaidyanathan
The aim of this paper is to provide some new criteria for the Stieltjes moment problem. We first give a Tauberian type criterion for moment indeterminacy that is expressed purely i…