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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Stable Recovery and the Coordinate Small-Ball Behaviour of Random Vectors,

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0075-8434 so discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction978-3-031-26299-9978-3-031-26300-2Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Asymptotic Geometric Analysis: Achievements and Perspective, of their present central interests. More precisely, that part of their interests that relates to Asymptotic Geometric Analysis. Many agreed, and I am posting below the short texts I received. After each of them, I will place my comments, as well as some problems that arise when reading these texts.

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0075-8434 tion of papers on convex geometry and high-dimensional analyThis book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the c

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Disorders of Fatty Acid Metabolism,ributed to Fedotov. In this note we disprove Fedotov’s conjecture by showing that it contradicts the Hodge-Riemann relations for simple convex polytopes. Along the way, we make some expository remarks on the linear algebraic and geometric aspects of these inequalities.

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Disorders of Porphyrin Metabolismigher derivatives. We prove convergence guarantees in Rényi divergence of order . assuming the limit of ULA satisfies isoperimetry, namely either the log-Sobolev or Poincaré inequality. We also prove a bound on the bias of the limiting distribution of ULA assuming third-order smoothness of ., without requiring isoperimetry.

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