Stability of higher order eigenvalues in dimension one
Classical Analysis and ODEs
2022-06-01 v1 Functional Analysis
Probability
Spectral Theory
Abstract
We study stability of the eigenvalues of the generator of a one dimensional reversible diffusion process satisfying some natural conditions. The proof is based on Stein's method. In particular, these results are applied to the Normal distribution (via the Ornstein-Uhlenbeck process), to Gamma distributions (via the Laguerre process) and to Beta distributions (via Jacobi process).
Cite
@article{arxiv.2205.15594,
title = {Stability of higher order eigenvalues in dimension one},
author = {Jordan Serres},
journal= {arXiv preprint arXiv:2205.15594},
year = {2022}
}