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Remarks on the KLS Conjecture and Hardy-Type Inequalities - MaRDI portal

Remarks on the KLS Conjecture and Hardy-Type Inequalities (Q5255124)

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scientific article; zbMATH DE number 6445137

Language	Label	Description	Also known as
English	Remarks on the KLS Conjecture and Hardy-Type Inequalities	scientific article; zbMATH DE number 6445137

Statements

scholarly article

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Remarks on the KLS Conjecture and Hardy-Type Inequalities (English)

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Alexander V. Kolesnikov

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Lecture Notes in Mathematics

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publication date

11 June 2015

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full work available at URL

https://arxiv.org/abs/1405.0617

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zbMATH Keywords

Hardy-type inequalities

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conjecture of Kannan-Lovász-Simonovits

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MaRDI profile type

MaRDI publication profile

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Logarithmically concave functions and sections of convex sets in $R^{n}$

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Volume Ratios and a Reverse Isoperimetric Inequality

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Properties of Probability Distributions with Monotone Hazard Rate

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Polar factorization and monotone rearrangement of vector‐valued functions

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Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation

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Boundary regularity of maps with convex potentials

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The Regularity of Mappings with a Convex Potential

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Functional Inequalities via Lyapunov conditions

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FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES

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Thin shell implies spectral gap up to polylog via a stochastic localization scheme

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Sections of convex bodies through their centroid

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Functional Inequalities: New Perspectives and New Applications

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Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures

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Isoperimetric problems for convex bodies and a localization lemma

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On convex perturbations with a bounded isotropic constant

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On volume distribution in 2-convex bodies

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Contributions to the theory of convex bodies

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Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds

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On the infimum convolution inequality

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A convexity principle for interacting gases

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Polar factorization of maps on Riemannian manifolds

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On the role of convexity in isoperimetry, spectral gap and concentration

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Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds

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An isoperimetric inequality for uniformly log-concave measures and uniformly convex bodies

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Small ball probability estimates for log-concave measures

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An isoperimetric inequality on the \(\ell _p\) balls

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-09477-9_18

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5255124

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