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Isoperimetric invariants for product Markov chains and graph products

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Publication:558240
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DOI10.1007/s00493-004-0023-xzbMath1067.60062OpenAlexW2004436474MaRDI QIDQ558240

Christian Houdré, Prasad Tetali

Publication date: 5 July 2005

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00493-004-0023-x


zbMATH Keywords

spectral gapCheeger constantdirect productdiscrete gradientfinite Markov chain


Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Probabilistic potential theory (60J45) Large deviations (60F10) Continuous-time Markov processes on discrete state spaces (60J27)


Related Items (7)

The rapid mixing of random walks defined by an \(n\)-cube ⋮ Isoperimetric Problem and Meta-fibonacci Sequences ⋮ On the isoperimetric spectrum of graphs and its approximations ⋮ Functional inequalities for discrete gradients and application to the geometric distribution ⋮ Isoperimetric and related bounds on configuration spaces ⋮ Bounds on isoperimetric values of trees ⋮ Evolving sets, mixing and heat kernel bounds




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