Logarithmic Sobolev constant for the dilute Ising lattice gas dynamics below the percolation threshold.

DOI10.1016/S0304-4149(02)00175-8zbMath1075.82012OpenAlexW2007441040MaRDI QIDQ2574524

Nicoletta Cancrini, Cyril Roberto

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00175-8

zbMATH Keywords

Kawasaki dynamicslogarithmic Sobolev constantequivalence of ensemblerandom ferromagnet

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

Poincaré and logarithmic Sobolev inequality for Ginzburg-Landau processes in random environ\-ment

Cites Work

• Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities
• The spectral gap for the Kawasaki dynamics at low temperature
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
• Logarithmic Sobolev inequality for lattice gases mixing conditions
• Logarithmic Sobolev inequalities for finite Markov chains
• On the spectral gap of Kawasaki dynamics under a mixing condition revisited
• Percolation
• Diffusive scaling of the spectral gap for the dilute Ising lattice-gas dynamics below the percolation threshold
• Quasi-factorization of the entropy and logarithmic Sobolev inequalities for Gibbs random fields
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