We present a short proof of Klartag’s central limit theorem for convex bodies, using only the most classical facts about log-concave functions. An appendix is included where we give the proof that the thin shell implies CLT. The paper is accessible to anyone.The University of Pretoria Research Development Programme.http://www.ams.org/publications/journals/journalsframework/prochj2022Mathematics and Applied Mathematic
Makarov's principle relates three characteristics of Bloch functions that resemble the variance of a...
Abstract. Connections of an inequality of Klamkin with Stolarsky means and convexity are shown. An a...
We prove non-isotropic Lp (1 ≤ p ≤ ∞) estimates with weights for solutions of the Cauchy-Riemann equ...
AbstractA weak version of a conjecture stated by Kannan, Lovász and Simonovits claims that an isotro...
AbstractWe prove an isoperimetric inequality for the uniform measure on a uniformly convex body and ...
The final version of this paper appears in: "Israel Journal of Mathematics" 68 (1989): 123-128. Prin...
We prove an isoperimetric inequality for probability measures $\mu$ on $\mathbb{R}^n$ with density p...
In this note prove the following Berwald-type inequality, showing that for any integrable log-concav...
We give an elementary proof of weighted resolvent estimates for the semiclassical Schrödinger operat...
AbstractWe prove a pointwise version of the multi-dimensional central limit theorem for convex bodie...
We refine the recent breakthrough technique of Klartag and Lehec to obtain an improved polylogarithm...
Let $m(G)$ be the infimum of the volumes of all open subgroups of a unimodular locally compact group...
AbstractWe give a different proof of a recent result of Klartag [B. Klartag, A central limit theorem...
In this paper we establish a formal connection between the average decay of the Fourier transform of...
The continuum $\varphi^4_2$ and $\varphi^4_3$ measures are shown to satisfy a log-Sobolev inequality...
Makarov's principle relates three characteristics of Bloch functions that resemble the variance of a...
Abstract. Connections of an inequality of Klamkin with Stolarsky means and convexity are shown. An a...
We prove non-isotropic Lp (1 ≤ p ≤ ∞) estimates with weights for solutions of the Cauchy-Riemann equ...
AbstractA weak version of a conjecture stated by Kannan, Lovász and Simonovits claims that an isotro...
AbstractWe prove an isoperimetric inequality for the uniform measure on a uniformly convex body and ...
The final version of this paper appears in: "Israel Journal of Mathematics" 68 (1989): 123-128. Prin...
We prove an isoperimetric inequality for probability measures $\mu$ on $\mathbb{R}^n$ with density p...
In this note prove the following Berwald-type inequality, showing that for any integrable log-concav...
We give an elementary proof of weighted resolvent estimates for the semiclassical Schrödinger operat...
AbstractWe prove a pointwise version of the multi-dimensional central limit theorem for convex bodie...
We refine the recent breakthrough technique of Klartag and Lehec to obtain an improved polylogarithm...
Let $m(G)$ be the infimum of the volumes of all open subgroups of a unimodular locally compact group...
AbstractWe give a different proof of a recent result of Klartag [B. Klartag, A central limit theorem...
In this paper we establish a formal connection between the average decay of the Fourier transform of...
The continuum $\varphi^4_2$ and $\varphi^4_3$ measures are shown to satisfy a log-Sobolev inequality...
Makarov's principle relates three characteristics of Bloch functions that resemble the variance of a...
Abstract. Connections of an inequality of Klamkin with Stolarsky means and convexity are shown. An a...
We prove non-isotropic Lp (1 ≤ p ≤ ∞) estimates with weights for solutions of the Cauchy-Riemann equ...
DOI
Add to ORKG