Exponential decay of entropy in the random transposition and Bernoulli-Laplace models

DOI10.1214/aoap/1069786512zbMath1046.60003OpenAlexW2052868705MaRDI QIDQ1429120

Jeremy Quastel, Fu Qing Gao

Publication date: 30 March 2004

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1069786512

zbMATH Keywords

modified logarithmic Sobolev inequalitytime to stationarity

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Cites Work

• Unnamed Item
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• Unnamed Item
• On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
• Logarithmic Sobolev inequality for some models of random walks
• Comparison theorems for reversible Markov chains
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Logarithmic Sobolev inequality for generalized simple exclusion processes
• On logarithmic Sobolev inequalities for continuous time random walks on graphs
• A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
• Entropy inequalities for unbounded spin systems
• Logarithmic Sobolev inequalities for finite Markov chains
• Hydrodynamics and large deviation for simple exclusion processes
• Generating a random permutation with random transpositions
• Diffusion of color in the simple exclusion process
• Logarithmic Sobolev Inequalities
• Time to Reach Stationarity in the Bernoulli–Laplace Diffusion Model

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