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Spectral gaps, symmetries and log-concave perturbations - MaRDI portal

Spectral gaps, symmetries and log-concave perturbations (Q5109364)

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scientific article; zbMATH DE number 7198875

Language	Label	Description	Also known as
English	Spectral gaps, symmetries and log-concave perturbations	scientific article; zbMATH DE number 7198875

Statements

scholarly article

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publication date

11 May 2020

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full work available at URL

https://arxiv.org/abs/1907.01823

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http://bulletin.math.uoc.gr/vol/64/64-1-31.pdf

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zbMATH Keywords

Poincaré inequality

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spectral gap

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high-dimensional convex sets

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.FA

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math.PR

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Approaching the Kannan-Lovász-Simonovits and variance conjectures

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Analysis and Geometry of Markov Diffusion Operators

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Invariances in variance estimates

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Remarks on non-interacting conservative spin systems: the case of gamma distributions

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Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution

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Isoperimetric and analytic inequalities for log-concave probability measures

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From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities

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On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

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Statistics for high-dimensional data. Methods, theory and applications.

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The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems

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

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Gaussian mixtures: entropy and geometric inequalities

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Spectral gaps for spin systems: Some non-convex phase examples

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A convex/log-concave correlation inequality for Gaussian measure and an application to abstract Wiener spaces

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Remarks on decay of correlations and Witten Laplacians. III: Application to logarithmic Sobolev inequalities

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\(L^ 2\) estimates and existence theorems for the \(\partial\)-operator

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SPECTRAL GAP FOR SOME INVARIANT LOG‐CONCAVE PROBABILITY MEASURES

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Isoperimetric problems for convex bodies and a localization lemma

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Unimodality and Dominance For Symmetric Random Vectors

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A Berry-Esseen type inequality for convex bodies with an unconditional basis

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The KLS isoperimetric conjecture for generalized Orlicz balls

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On the infimum convolution inequality

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Sections of the unit ball of \(\ell ^ n_ p\)

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

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Hardy's inequality with weights

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Poincaré inequalities on intervals -- application to sensitivity analysis

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A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions

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Identifiers

zbMATH Open document ID

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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:5109364

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