Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: an analytic approach

Title: Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: an analytic approach
Authors: Kontis, V
Ottobre, M
Zegarlinski, B
Item Type: Journal Article
Abstract: In this paper we provide a range of examples to illustrate the general theory developed in Ref. 19, where we studied smoothing and ergodicity for infinite dimensional Markovian systems with hypocoercive type generator. We also introduce and study new models, where the framework of Ref. 19 cannot be applied as is but can be adapted to obtain improved results, by exploiting the specific structure of the generator at hand. Among such examples, we examine a system of infinitely many interacting heat baths.
Issue Date: 7-Sep-2017
Date of Acceptance: 26-Apr-2016
URI: http://hdl.handle.net/10044/1/66962
DOI: https://dx.doi.org/10.1142/S0219025717500151
ISSN: 0219-0257
Publisher: World Scientific Publishing
Journal / Book Title: Infinite Dimensional Analysis, Quantum Probability and Related Topics
Volume: 30
Issue: 3
Copyright Statement: © 2017 World Scientific Publishing Co Pte Ltd
Sponsor/Funder: The Royal Society
Funder's Grant Number: WM090064
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Quantum Science & Technology
Physics, Mathematical
Statistics & Probability
Mathematics
Physics
Hypocoercivity
ergodicity
degenerate diffusions
infinite-dimensional Markov semigroups
HORMANDER TYPE GENERATORS
MARKOV SEMIGROUPS
HEISENBERG-GROUP
HEAT KERNEL
INEQUALITIES
ERGODICITY
POINCARE
SYSTEMS
BOUNDS
0102 Applied Mathematics
0104 Statistics
General Mathematics
Publication Status: Published
Open Access location: https://researchportal.hw.ac.uk/en/publications/long-and-short-time-behaviour-of-hypocoercive-type-operators-in-i
Appears in Collections:Pure Mathematics
Mathematics



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