rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Geometric Aspects of Functional Analysis
    sub title: Israel Seminar (GAFA) 2011-2013
  name:
    name part: Klartag, Bo'az.
    role:
      role term: editor.
  name:
    name part: Milman, Emanuel.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 463 p. 12 illus. online resource.
  abstract: As 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.
  table of contents: Dominique 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 con…
  note: edited by Bo'az Klartag, Emanuel Milman.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Convex geometry
  subject:
    topic: Discrete geometry
  subject:
    topic: Probabilities
  subject:
    topic: Mathematics
  subject:
    topic: Functional Analysis
  subject:
    topic: Convex and Discrete Geometry
  subject:
    topic: Probability Theory and Stochastic Processes
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 2116
  identifier: 9783319094779
  identifier: http://dx.doi.org/10.1007/978-3-319-09477-9
  record info:
    record creation date: 141008
    record change date: 20151204143508.0
    record identifier: 978-3-319-09477-9