Linear and nonlinear phenomena in large interacting systems

DOI10.1016/S0034-4877(07)80076-0zbMath1165.82017OpenAlexW2064896225MaRDI QIDQ1002143

Bogusław Zegarliński

Publication date: 24 February 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(07)80076-0

zbMATH Keywords

coercive inequalitiesentropic switchHörmander diffusion, nonlinear problemslarge interacting systems

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Equilibrium statistical mechanics (82B99)

Cites Work

• Log-Sobolev inequalities for infinite one-dimensional lattice systems
• Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups
• The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Approach to equilibrium of Glauber dynamics in the one phase region. II: The general case
• Coercive inequalities for Hörmander type generators in infinite dimensions
• Semi-linear problems in infinite dimensions
• Séminaire de Probabilités XXXVI
• On completely positive nonlinear dynamical semigroups
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