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

Vasilis Kontis; Michela Ottobre; Boguslaw Zegarlinski

doi:10.1142/S0219025717500151

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 journal › Article › peer-review

4 Citations (Scopus)

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 language	English
Article number	1750015
Number of pages	36
Journal	Infinite Dimensional Analysis, Quantum Probability and Related Topics
Volume	20
Issue number	3
DOIs	https://doi.org/10.1142/S0219025717500151
Publication status	Published - 7 Sept 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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10.1142/S0219025717500151

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AU - Zegarlinski, Boguslaw

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KW - degenerate diffusions

KW - ergodicity

KW - Hypocoercivity

KW - infinite-dimensional Markov semigroups

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

Abstract

Keywords

ASJC Scopus subject areas

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