Logarithmic Sobolev inequality and strong ergodicity for birth-death processes

DOI10.1007/s11464-009-0036-2zbMath1185.60096OpenAlexW2122749430MaRDI QIDQ1034903

Jian Wang

Publication date: 9 November 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0036-2

zbMATH Keywords

logarithmic Sobolev inequalitystrong ergodicitybirth death processes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

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Convergence rates in uniform ergodicity by hitting times and \(L^2\)-exponential convergence rates

Cites Work

• Strong ergodicity for single-birth processes
• Strong ergodicity for Markov processes by coupling methods
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