Spectral gaps, symmetries and log-concave perturbations
From MaRDI portal
Publication:5109364
zbMath1442.35276arXiv1907.01823MaRDI QIDQ5109364
Publication date: 11 May 2020
Full work available at URL: https://arxiv.org/abs/1907.01823
Inequalities; stochastic orderings (60E15) Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Applications of functional analysis in probability theory and statistics (46N30) Variational methods for second-order elliptic equations (35J20)
Related Items
Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems ⋮ A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures ⋮ Intertwinings, second-order Brascamp–Lieb inequalities and spectral estimates ⋮ Estimation of smooth functionals of location parameter in Gaussian and Poincaré random shift models. ⋮ Bourgain's slicing problem and KLS isoperimetry up to polylog
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approaching the Kannan-Lovász-Simonovits and variance conjectures
- Statistics for high-dimensional data. Methods, theory and applications.
- Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution
- A Berry-Esseen type inequality for convex bodies with an unconditional basis
- On the role of convexity in isoperimetry, spectral gap and concentration
- Sections of the unit ball of \(\ell ^ n_ p\)
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Remarks on decay of correlations and Witten Laplacians. III: Application to logarithmic Sobolev inequalities
- Isoperimetric and analytic inequalities for log-concave probability measures
- From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
- The KLS isoperimetric conjecture for generalized Orlicz balls
- A convex/log-concave correlation inequality for Gaussian measure and an application to abstract Wiener spaces
- Gaussian mixtures: entropy and geometric inequalities
- The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
- Isoperimetric problems for convex bodies and a localization lemma
- Remarks on non-interacting conservative spin systems: the case of gamma distributions
- Thin shell implies spectral gap up to polylog via a stochastic localization scheme
- Poincaré inequalities on intervals -- application to sensitivity analysis
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- SPECTRAL GAP FOR SOME INVARIANT LOG‐CONCAVE PROBABILITY MEASURES
- On the infimum convolution inequality
- Unimodality and Dominance For Symmetric Random Vectors
- Invariances in variance estimates
- Analysis and Geometry of Markov Diffusion Operators
- A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions
- Hardy's inequality with weights
- Spectral gaps for spin systems: Some non-convex phase examples
