Anti-concentration of polynomials: dimension-free covariance bounds and decay of Fourier coefficients
From MaRDI portal
Publication:2165541
DOI10.1016/j.jfa.2022.109639zbMath1502.60023arXiv2108.04268OpenAlexW3191798759MaRDI QIDQ2165541
Publication date: 20 August 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.04268
Inequalities; stochastic orderings (60E15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Asymptotic theory of convex bodies (52A23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximal decay inequalities for trilinear oscillatory integrals of convolution type
- Analytic van der Corput lemma for \(p\)-adic and \(\mathbf F_q((t))\) oscillatory integrals, singular Fourier transforms, and restriction theorems
- Lectures on forms of higher degree. Notes by S. Raghavan
- Products of polynomials in many variables
- On multilinear oscillatory integrals, nonsingular and singular
- Random symmetric matrices are almost surely nonsingular.
- Small ball probability and Dvoretzky's Theorem
- Diophantine subsets of function fields of curves
- Some inequalities for the eigenvalues of the product of positive semidefinite Hermitian matrices
- On singularity properties of convolutions of algebraic morphisms
- A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
- What is van der Corput's lemma in higher dimensions?
- Bilinear and quadratic variants on the Littlewood-Offord problem
- Gaussian fluctuation for Gaussian Wishart matrices of overall correlation
- New error bounds in multivariate normal approximations via exchangeable pairs with applications to Wishart matrices and fourth moment theorems
- Orthogonal polynomials and diffusion operators
- Phase transitions for detecting latent geometry in random graphs
- Harmonic Function Theory
- Testing for high-dimensional geometry in random graphs
- Anti-concentration for polynomials of independent random variables
- Real Advantage
- Multidimensional decay in the van der Corput lemma
- The geometry of logconcave functions and sampling algorithms
- On the Volume of the Intersection of Two L n p Balls
- Multidimensional van der Corput and sublevel set estimates
- Entropic CLT and Phase Transition in High-dimensional Wishart Matrices
- Complex powers and asymptotic expansions. I. Functions of certain types.
- Differential Identities
- IMPANGA lecture notes on log canonical thresholds<br>Notes by Tomasz Szemberg
- IGUSAâS CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES
- A van der Corput lemma for the đ-adic numbers
- A simple proof of Stirling's formula for the gamma function
- Small ball probability estimates for log-concave measures
- Inequalities for Gamma Function Ratios
- Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
- Analytic properties of zeta functions and subgroup growth
- Distributional and \(L^q\) norm inequalities for polynomials over convex bodies in \(\mathbb{R}^n\)