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Isoperimetric inequality and the Poincaré inequality for distributions of polynomials on convex compact set

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Publication:265957
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DOI10.1134/S1064562415060137zbMath1360.60040MaRDI QIDQ265957

Lavrentin M. Arutyunyan

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

isoperimetric inequalityPoincaré inequalitypolynomial mappings


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05) Contents, measures, outer measures, capacities (28A12)




Cites Work

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  • The Brunn-Minkowski inequality in Gauss space
  • Convex measures on locally convex spaces
  • Isoperimetric and analytic inequalities for log-concave probability measures
  • The extreme points of subsets of s-concave probabilities and a geometric localization theorem
  • Isoperimetric problems for convex bodies and a localization lemma
  • Random walks in a convex body and an improved volume algorithm
  • Some Generalizations of Prokhorov's Results on Khinchin-Type Inequalities for Polynomials
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