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

DOI10.1007/s00440-004-0370-yzbMath1108.60084OpenAlexW1975993646MaRDI QIDQ1769080

J. Noronha Neto, Claudio Landim

Publication date: 17 March 2005

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-004-0370-y

zbMATH Keywords

Spectral gapLogarithmic Sobolev inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Inequalities for sums, series and integrals (26D15)

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Cites Work

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• Spectral gap for zero-range dynamics
• Coercive inequalities for Gibbs measures
• Logarithmic Sobolev inequality for generalized simple exclusion processes
• The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
• Relaxation to equilibrium of conservative dynamics. I: Zero-range processes
• Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
• Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\)
• Determination of the spectral gap for Kac's master equation and related stochastic evolution.
• Logarithmic Sobolev inequality for lattice gases mixing conditions
• Logarithmic Sobolev constant for the dilute Ising lattice gas dynamics below the percolation threshold.
• Uniform Poincaré inequalities for unbounded conservative spin systems: the non-interacting case.
• On the spectral gap of Kawasaki dynamics under a mixing condition revisited
• Diffusion of color in the simple exclusion process
• Diffusive scaling of the spectral gap for the dilute Ising lattice-gas dynamics below the percolation threshold

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