The Variance Conjecture on Some Polytopes
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Publication:4928661
DOI10.1007/978-1-4614-6406-8_1zbMath1281.46013arXiv1209.4270OpenAlexW1636327088MaRDI QIDQ4928661
Jesús Bastero, David Alonso-Gutiérrez
Publication date: 17 June 2013
Published in: Asymptotic Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.4270
Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Probabilistic methods in Banach space theory (46B09) Asymptotic theory of Banach spaces (46B06)
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The square negative correlation property on \(\ell_p^n\)-balls ⋮ Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures ⋮ The variance conjecture on projections of the cube
Cites Work
- Unnamed Item
- Poincaré inequalities and moment maps
- Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures
- An isoperimetric inequality on the \(\ell _p\) balls
- A Berry-Esseen type inequality for convex bodies with an unconditional basis
- Concentration of mass on convex bodies
- On convex perturbations with a bounded isotropic constant
- Power-law estimates for the central limit theorem for convex sets
- Between Paouris concentration inequality and variance conjecture
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Convex measures on locally convex spaces
- 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
- SPECTRAL GAP FOR SOME INVARIANT LOG‐CONCAVE PROBABILITY MEASURES
- Approximately gaussian marginals and the hyperplane conjecture
- Convex Bodies Associated with a Given Convex Body
- On the infimum convolution inequality
- Logarithmically concave functions and sections of convex sets in $R^{n}$
- Slicing Convex Bodies-Bounds for Slice Area in Terms of the Body's Covariance
- The central limit problem for convex bodies
- Entropy jumps for isotropic log-concave random vectors and spectral gap
- Invariances in variance estimates
- On Isoperimetric Constants for Log-Concave Probability Distributions
- The Square Negative Correlation Property for Generalized Orlicz Balls
