Linear and nonlinear phenomena in large interacting systems
type: Item
instance of: scholarly article
title: Linear and nonlinear phenomena in large interacting systems
zbMATH Open document ID: 1165.82017
DOI: 10.1016/S0034-4877(07)80076-0
author: Boguslaw Zegarliński
published in: Reports on Mathematical Physics
publication date: 2009-02-24T00:00:00Z
review text: This short note summarizes new results on some phenomena which occur in large interacting systems. It refers mainly to Gibbs measures and systems of non-commutative fields; coercive inequalities for Hörmander type Markov generators, semilinear problems, nonlinear Markov semi-group, mutual relation between nonlinearity and entropy, and entropic switch. It is the continuation of a preceding paper by the author and \textit{P. Ługiewicz} [J. Funct. Anal. 247, No. 2, 438--476 (2007; Zbl 1128.58009)].
Mathematics Subject Classification ID: 82B99
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 5510471
zbMATH Keywords: large interacting systems
zbMATH Keywords: coercive inequalities
zbMATH Keywords: Hörmander diffusion, nonlinear problems
zbMATH Keywords: entropic switch
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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full work available at URL: s0034-4877(07)80076-0
OpenAlex ID: W2064896225
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description: scientific article; zbMATH DE number 5510471