Mixing rates for linear operators under infinitely divisible measures on Banach spaces
Probability
2025-11-12 v1 Functional Analysis
Abstract
We derive rates of convergence for the mixing of operators under infinitely divisible measures in the framework of linear dynamics on Banach spaces. Our approach is based on the characterization of mixing in terms of codifference functionals and control measures, and extends previous results obtained in the Gaussian setting via the use of covariance operators. Explicit mixing rates are obtained for weighted shifts under compound Poisson, {\alpha}-stable, and tempered {\alpha}-stable measures.
Keywords
Cite
@article{arxiv.2511.07791,
title = {Mixing rates for linear operators under infinitely divisible measures on Banach spaces},
author = {Camille Mau and Nicolas Privault},
journal= {arXiv preprint arXiv:2511.07791},
year = {2025}
}