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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Ronen Eldan,Bo‘az Klartag,Emanuel Milman Book 2023 The Editor(s) (if applica

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发表于 2025-3-27 00:17:02 | 显示全部楼层
A Journey with the Integrated , Criterion and its Weak Forms,eas of B. Hellffer. We introduce general weak versions and show that they are equivalent to the weak Poincaré inequalities introduced by M. Röckner and F. Y. Wang. We also discuss special weak versions appropriate to the study of log-concave measures and log-concave perturbations of product measures.
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Local Tail Bounds for Polynomials on the Discrete Cube, implies that the probability that . decays exponentially in .. Confirming a conjecture of Keller and Klein, we prove a local version of this bound, providing an upper bound on the difference between the . and the . quantiles of ..
发表于 2025-3-27 06:45:27 | 显示全部楼层
The Anisotropic Total Variation and Surface Area Measures,ction. The formula holds in complete generality with no regularity assumptions, and is intimately related to the notion of anisotropic total variation and to anisotropic coarea formulas. This improves previous partial results by Colesanti and Fragalà, by Cordero-Erausquin and Klartag and by the author.
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https://doi.org/10.1007/978-1-4899-2186-4ction. The formula holds in complete generality with no regularity assumptions, and is intimately related to the notion of anisotropic total variation and to anisotropic coarea formulas. This improves previous partial results by Colesanti and Fragalà, by Cordero-Erausquin and Klartag and by the auth
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Disorders of Fatty Acid Metabolism,The classic monograph . by Burago and Zalgaller states a conjecture on the validity of higher-order analogues of Shephard’s inequalities, which is attributed to Fedotov. In this note we disprove Fedotov’s conjecture by showing that it contradicts the Hodge-Riemann relations for simple convex polytop
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