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

Vasilis Kontis, Michela Ottobre, Boguslaw Zegarlinski

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number1750015
Number of pages36
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume20
Issue number3
DOIs
Publication statusPublished - 7 Sep 2017

Keywords

  • degenerate diffusions
  • ergodicity
  • Hypocoercivity
  • infinite-dimensional Markov semigroups

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics
  • Applied Mathematics

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