\(L^1\)-Poincaré inequality for discrete time Markov chains

DOI10.1016/J.SPL.2015.01.020zbMath1316.60029OpenAlexW2034066192MaRDI QIDQ2348322

Li-Hua Zhang, Ying-Zhe Wang

Publication date: 11 June 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.01.020

zbMATH Keywords

discrete time Markov chainDobrushin coefficient\(L^1\)-Poincaré inequality\(L^2\)-Poincaré inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Cites Work

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• Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap.
• Weak log-Sobolev and \(L^p\) weak Poincaré inequalities for general symmetric forms
• Estimation of spectral gap for Markov chains
• Spectral Theory for Weakly Reversible Markov Chains
• Some remarks on the duality of continuous time markov chains

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