Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Bo‘a(chǎn)z Klartag,Emanuel Milman Book 2020 Springer Nature Switzerland AG 2020 A

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Book 2020s that go beyond the Brunn–Minkowski theory. One of the major current research directions addressedis the identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Scienc

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Reciprocals and Flowers in Convexity,s own properties, which combine to create the various properties of the polarity map..We study the various relations between the four maps ., °, ? and Φ and use these relations to derive some of their properties. For example, we show that a convex body . is a reciprocal body if and only if its flowe

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Mika Vainio,Pekka Appelqvist,Aarne Halmes own properties, which combine to create the various properties of the polarity map..We study the various relations between the four maps ., °, ? and Φ and use these relations to derive some of their properties. For example, we show that a convex body . is a reciprocal body if and only if its flowe

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Capitulate

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Book 2020erstood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions

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Asynchronous Distributed Checkpointingrated result of Barron (Ann Probab 14:336–342, 1986). Additionally, we give an entropic characterization of the class of .-concave densities, which extends a classical result of Cover and Zhang (IEEE Trans Inform Theory 40(4):1244–1246, 1994).