Weak entropy inequalities and entropic convergence

DOI10.1007/s11425-008-0058-3zbMath1179.60049OpenAlexW2051524899MaRDI QIDQ1042774

Lina Li, Fu Qing Gao

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0058-3

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (2)

From Lyapunov Functions to Sobolev Inequalities ⋮ Notes on entropic convergence and the weak entropy inequality

Cites Work

• Algebraic convergence for discrete-time ergodic Markov chains
• \(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Dirichlet forms and symmetric Markov processes
• Algebraic convergence of Markov chains
• Exponential convergence rate in Boltzmann-Shannon entropy
• Nash inequalities for general symmetric forms
• Relaxation to equilibrium of conservative dynamics. I: Zero-range processes
• Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\)
• Weak Poincaré inequalities, decay of Markov semigroups and concentration of measures
• Weak logarithmic Sobolev inequalities and entropic convergence
• Logarithmic Sobolev Inequalities
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups
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