LEADER 06501nam 22006975 450 001 996213651903316 005 20200629212351.0 010 $a3-319-09477-7 024 7 $a10.1007/978-3-319-09477-9 035 $a(CKB)3710000000269624 035 $a(SSID)ssj0001372641 035 $a(PQKBManifestationID)11866413 035 $a(PQKBTitleCode)TC0001372641 035 $a(PQKBWorkID)11304701 035 $a(PQKB)10890427 035 $a(DE-He213)978-3-319-09477-9 035 $a(MiAaPQ)EBC5586838 035 $a(Au-PeEL)EBL5586838 035 $a(OCoLC)893668940 035 $a(PPN)182097420 035 $a(EXLCZ)993710000000269624 100 $a20141008d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric Aspects of Functional Analysis$b[electronic resource] $eIsrael Seminar (GAFA) 2011-2013 /$fedited by Bo'az Klartag, Emanuel Milman 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (IX, 463 p. 12 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2116 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-09476-9 327 $aDominique Bakry and Marguerite Zani: Random symmetric matrices on Clifford algebras -- Itai Benjamini: Gaussian free field on hyperbolic lattices -- Itai Benjamini and Pascal Maillard: Point-to-point distance in first passage percolation on (tree)Z -- Zbigniew Blocki: A lower bound for the Bergman kernel and the Bourgain-Milman inequality -- Jean Bourgain: An improved estimate in the restricted isometry problem -- Jean Bourgain: On eigenvalue spacings for the 1-D Anderson model with singular site distribution -- Jean Bourgain: On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians -- Jean Bourgain: On the control problem for Schrodinger operators on tori -- Ronen Eldan and Joseph Lehec: Bounding the norm of a log-concave vector via thin-shell estimates -- Dima Faifman, Bo'az Klartag and Vitali Milman: On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus -- Dan Florentin, Vitali Milman and Alexander Segal: Identifying set inclusion by projective positions and mixed volumes.- Omer Friedland and Yosef Yomdin: Vitushkin-type theorems.- Apostolos Giannopoulos and Emanuel Milman: M-estimates for isotropic convex bodies and their Lq-centroid bodies -- Uri Grupel: Remarks on the Central Limit Theorem for non-convex bodies -- Benjamin Jaye and Fedor Nazarov: Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem -- Bo'az Klartag: Logarithmically-concave Moment Measures I -- Alexander Koldobsky: Estimates for measures of sections of convex bodies -- Alexander V. Kolesnikov and Emanuel Milman: Remarks on the KLS conjecture and Hardy-type inequalities -- Rafal Latala: Modified Paouris inequality -- Michel Ledoux: Remarks on noise sensitivity, Brascamp-Lieb and Slepian inequalities -- Alexander E. Litvak and Susanna Spektor: Quantitative version of a Silverstein's result -- Amir Livne Bar-On: The (B) conjecture for uniform measures in the plane -- Galyna Livshytz: Maximal surface area of a convex set in Rn with respect to log-concave rotation invariant measures -- Elisabeth Meckes and Mark Meckes: On the equivalence of modes of convergence for log-concave measures -- Shahar Mendelson: A remark on the diameter of random sections of convex bodies -- Piotr Nayar and Tomasz Tkocz: A note on certain convolution operators -- Liran Rotem: On isotropicity with respect to a measure -- Rolf Schneider: A formula for mixed volumes -- Alexander Segal: On convergence of Blaschke and Minkowski symmetrization through stability results -- Sasha Sodin: Positive temperature versions of two theorems on first-passage percolation -- Konstantin E. Tikhomirov: The randomized Dvoretzky's theorem in `n1 and the-distribution. 330 $aAs in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis. Most of the papers deal with different aspects of Asymptotic Geometric Analysis, understood in a broad sense; many continue the study of geometric and volumetric properties of convex bodies and log-concave measures in high-dimensions and in particular the mean-norm, mean-width, metric entropy, spectral-gap, thin-shell and slicing parameters, with applications to Dvoretzky and Central-Limit-type results. The study of spectral properties of various systems, matrices, operators and potentials is another central theme in this volume. As expected, probabilistic tools play a significant role and probabilistic questions regarding Gaussian noise stability, the Gaussian Free Field and First Passage Percolation are also addressed. The historical connection to the field of Classical Convexity is also well represented with new properties and applications of mixed-volumes. The interplay between the real convex and complex pluri-subharmonic settings continues to manifest itself in several additional articles. All contributions are original research papers and were subject to the usual refereeing standards. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2116 606 $aFunctional analysis 606 $aConvex geometry  606 $aDiscrete geometry 606 $aProbabilities 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aFunctional analysis. 615 0$aConvex geometry . 615 0$aDiscrete geometry. 615 0$aProbabilities. 615 14$aFunctional Analysis. 615 24$aConvex and Discrete Geometry. 615 24$aProbability Theory and Stochastic Processes. 676 $a515.7 702 $aKlartag$b Bo'az$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMilman$b Emanuel$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996213651903316 996 $aGeometric aspects of functional analysis$980193 997 $aUNISA