Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap.

DOI10.1214/aop/1019160118zbMath1044.60078arXivmath/9804150OpenAlexW3093613164MaRDI QIDQ1872510

Feng-Yu Wang, Chen Mu-Fa

Publication date: 6 May 2003

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

Full work available at URL: https://arxiv.org/abs/math/9804150

zbMATH Keywords

spectral gapCheeger's inequalityNeumann and Dirichlet eigenvaluejump process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Eigenvalue problems for linear operators (47A75)

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Cites Work

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• Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution
• Dirichlet forms and symmetric Markov processes
• Existence of the spectral gap for elliptic operators
• Estimation of spectral gap for elliptic operators
• Bounds on the L 2 Spectrum for Markov Chains and Markov Processes: A Generalization of Cheeger's Inequality
• Estimation of spectral gap for Markov chains