Isoperimetric and related bounds on configuration spaces

DOI10.1016/j.spl.2008.02.002zbMath1283.60078OpenAlexW2086203821MaRDI QIDQ730727

Christian Houdré, Nicolas Privault

Publication date: 30 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.spl.2008.02.002

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic calculus of variations and the Malliavin calculus (60H07) Length, area, volume, other geometric measure theory (28A75) Random measures (60G57)

Related Items (2)

Poincaré and weak Poincaré inequalities for the mixed Poisson measure ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates

Cites Work

• Isoperimetric invariants for product Markov chains and graph products
• Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem
• Discrete isoperimetric and Poincaré-type inequalities
• Variational Analysis of Functionals of Poisson Processes
• An approximate zero-one law
• \(\lambda_{\infty}\), vertex isoperimetry and concentration
• Unnamed Item

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