Miclo, Laurent and Patie, Pierre ORCID: 0000-0003-4221-0439
(2021)
On interweaving relations.
Journal of Functional Analysis, 280 (3).
53-.
Text
CMIR-3.pdf - Author Accepted Manuscript Download (724kB) | Preview |
Abstract
Interweaving relations are introduced and studied here in a general Markovian setting as a strengthening of usual intertwining relations between semigroups, obtained by adding a randomized delay feature. They provide a new classification scheme of the set of Markovian semigroups which enables to transfer from a reference semigroup and up to an independent warm-up time, some ergodic, analytical and mixing properties including the $\varphi$-entropy convergence to equilibrium, the hyperboundedness and when the warm-up time is deterministic the cut-off phenomena. We also present several useful transformations that preserve interweaving relations. We provide a variety of examples of interweaving relations ranging from classical, discrete, and non-local Laguerre and Jacobi semigroups to degenerate hypoelliptic Ornstein-Uhlenbeck semigroups and some non-colliding particle systems.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | math.PR, math.PR, math.AP, interweaving relations, Laguerre processes, hypoelliptic diffusions, entropic convergence to equilibrium, hyperboundedness |
Depositing User: | Symplectic Admin |
Date Deposited: | 08 Jan 2021 14:26 |
Last Modified: | 18 Jan 2023 23:04 |
DOI: | 10.1016/j.jfa.2020.108816 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3112847 |