Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2020-2022

AvRonen Eldan,Bo'az Klartag

Häftad, Engelska, 2023

Del 2327 i serien Lecture Notes in Mathematics

745 kr

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Beskrivning

Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces.

Produktinformation

Utgivningsdatum:2023-10-02
Mått:155 x 235 x 25 mm
Vikt:674 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:440
Förlag:Springer International Publishing AG
ISBN:9783031262999

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Innehållsförteckning

- Asymptotic Geometric Analysis: Achievements and Perspective. - On the Gaussian Surface Area of Spectrahedra. - Asymptotic Expansions and Two-Sided Bounds in Randomized Central Limit Theorems. - The Case of Equality in Geometric Instances of Barthe’s Reverse Brascamp-Lieb Inequality. - A Journey with the Integrated ᴦ2 Criterion and its Weak Forms. - The Entropic Barrier Is n-Self-Concordant. - Local Tail Bounds for Polynomials on the Discrete Cube. - Stable Recovery and the Coordinate Small-Ball Behaviour of Random Vectors. - On the Lipschitz Properties of Transportation Along Heat Flows. - A Short Direct Proof of the Ivanisvili-Volberg Inequality. - The Anisotropic Total Variation and Surface Area Measures. - Chasing Convex Bodies Optimally. - Shephard’s Inequalities, Hodge-Riemann Relations, and a Conjecture of Fedotov. - The Local Logarithmic Brunn-Minkowski Inequality for Zonoids. - Rapid Convergence of the Unadjusted Langevin Algorithm: Isoperimetry Suffices.