Title Geometric aspects of functional analysis : Israel Seminar 2006-2010 / Bo'az Klartag, Shahar Mendelson, Vitali D. Milman, editors

Published Berlin ; New York : Springer, ©2012

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Description 1 online resource Series Lecture notes in mathematics, 0075-8434 ; 2050 Lecture notes in mathematics (Springer-Verlag) ; 2050. Contents The [alpha]-Cosine Transform and Intertwining Integrals on Real Grassmannians / Semyon Alesker -- On Modules Over Valuations / Semyon Alesker -- On Multiplicative Maps of Continuous and Smooth Functions / Shiri Artstein-Avidan, Dmitry Faifman and Vitali Milman -- Order Isomorphisms on Convex Functions in Windows / Shiri Artstein-Avidan, Dan Florentin and Vitali Milman -- Finite Transitive Graph Embeddings into a Hyperbolic Metric Space Must Stretch or Squeeze / Itai Benjamini and Oded Schramm -- Tightness of Fluctuations of First Passage Percolation on Some Large Graphs / Itai Benjamini and Ofer Zeitouni -- Finitely Supported Measures on SL2(\mathbbR)SL2(R) Which are Absolutely Continuous at Infinity / Jean Bourgain -- Moebius Schrödinger / Jean Bourgain -- Interpolations, Convexity and Geometric Inequalities / Dario Cordero-Erausquin and Bo'az Klartag -- Hypercontractive Measures, Talagrand's Inequality, and Influences / Dario Cordero-Erausquin and Michel Ledoux -- A Family of Unitary Operators Satisfying a Poisson-Type Summation Formula / Dmitry Faifman -- Stability of Order Preserving Transforms / Dan Florentin and Alexander Segal -- On the Distribution of the [psi]2-Norm of Linear Functionals on Isotropic Convex Bodies / Apostolos Giannopoulos, Grigoris Paouris and Petros Valettas -- A Remark on Vertex Index of the Convex Bodies / Efim D. Gluskin and Alexander E. Litvak -- Inner Regularization of Log-Concave Measures and Small-Ball Estimates / Bo'az Klartag and Emanuel Milman -- An Operator Equation Generalizing the Leibniz Rule for the Second Derivative / Hermann König and Vitali Milman -- Moments of Unconditional Logarithmically Concave Vectors / Rafał Latała -- Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem / Elizabeth Meckes -- On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies / Piotr Nayar and Tomasz Tkocz -- The Hörmander Proof of the Bourgain-Milman Theorem / Fedor Nazarov -- On Some Extension of Feige's Inequality / Krzysztof Oleszkiewicz -- On the Mean Width of Log-Concave Functions / Liran Rotem -- Approximate Gaussian Isoperimetry for k Sets / Gideon Schechtman -- Remark on Stability of Brunn-Minkowski and Isoperimetric Inequalities for Convex Bodies / Alexander Segal -- On Contact Points of Convex Bodies / Nikhil Srivastava Summary This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers Analysis Mathematics Functional analysis Discrete groups Distribution (Probability theory) Convex and Discrete Geometry Probability Theory and Stochastic Processes wiskunde waarschijnlijkheidstheorie probability theory stochastische processen stochastic processes functionaalanalyse meetkunde geometry Mathematics (General) Wiskunde (algemeen) Bibliography Includes bibliographical references Notes English Subject Functional analysis -- Congresses Functional differential equations -- Asymptotic theory -- Congresses Análisis funcional -- Congresos Functional analysis Functional differential equations -- Asymptotic theory Genre/Form proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Klartag, Bo'az Mendelson, Shahar Milman, Vitali D., 1939- Israel Seminar on Geometrical Aspects of Functional Analysis (2006-2010) ISBN 9783642298493 3642298494 3642298486 9783642298486

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