Exponential convergence rate in Boltzmann-Shannon entropy

DOI10.1007/BF02878707zbMath1024.47024OpenAlexW1542466132MaRDI QIDQ1609636

Shaoyi Zhang, Yong Hua Mao

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1007/bf02878707

zbMATH Keywords

spectral gapMarkov semigroupsequilibrium stateBoltzmann-Shannon entropylogarithmic Sobolev constantoptimal exponential convergence rate

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35)

Related Items

Convergence in total variation distance for (in)homogeneous Markov processes ⋮ Exponential convergence rate in entropy ⋮ \(\Phi\)-entropy inequality and application for SDEs with jumps ⋮ Weak entropy inequalities and entropic convergence

Cites Work

• Logarithmic Sobolev inequalities for finite Markov chains
• Unnamed Item
• Unnamed Item
• Unnamed Item