On the isoperimetric constants for product measures

DOI10.1007/s10958-009-9425-zzbMath1206.60004OpenAlexW2037795410MaRDI QIDQ613674

Sergey G. Bobkov

Publication date: 21 December 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9425-z

zbMATH Keywords

Sobolev-type inequalitiesisoperimetric constants

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05) Inequalities for sums, series and integrals (26D15) Measures and integrals in product spaces (28A35)

Cites Work

• Discrete isoperimetric and Poincaré-type inequalities
• Isoperimetric constants for product probability measures
• An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space
• Some remarks on isoperimetry of Gaussian type
• Log-concave and spherical models in isoperimetry
• Isoperimetry for Gibbs measures
• Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
• Extremal properties of half-spaces for log-concave distributions
• Some connections between isoperimetric and Sobolev-type inequalities
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