Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2006– Bo‘az Klartag,Shahar Mendelson,Vitali D. Milman Book 2012 Springer-Verlag Be

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Introduction: Dislocation and Writing,, and product and non-product models. The approach covers similarly by a simple interpolation the framework of geometric influences recently developed by N. Keller, E. Mossel and A. Sen. Geometric Brascamp-Lieb decompositions are also considered in this context.

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ubclass, the class of non-negative convex functions attaining 0 at the origin (these are called “geometric convex functions”). We show that transforms that satisfy conditions which are weaker than order preserving transforms, are essentially close to the order preserving transforms on the mentioned structures.

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Tightness of Fluctuations of First Passage Percolation on Some Large Graphs,he binary tree, from the root to a boundary of a ball, is generalized to a class of graphs which includes all lattices in hyperbolic spaces and the lamplighter graph over .. This class of graphs is closed under product with any bounded degree graph. Few open problems and conjectures are gathered at the end.

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https://doi.org/10.1007/978-3-642-29849-380M35, 26A51, 32-XX, 46-XX, 60-XX; Asymptotic Geometric Analysis; Functional Analysis; Geometric Inequa

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https://doi.org/10.1007/978-3-531-93351-1In this paper we describe the range of the α-cosine transform between real Grassmannians in terms of the decomposition under the action of the special orthogonal group. As one of the steps in the proof we show that the image of certain intertwining operators between maximally degenerate principal series representations is irreducible.

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