© 2014

Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2011-2013

  • Bo'az Klartag
  • Emanuel Milman

Part of the Lecture Notes in Mathematics book series (LNM, volume 2116)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Itai Benjamini
    Pages 39-45
  3. Itai Benjamini, Pascal Maillard
    Pages 47-51
  4. Dmitry Faifman, Bo’az Klartag, Vitali Milman
    Pages 123-131
  5. Dan Florentin, Vitali Milman, Alexander Segal
    Pages 133-145
  6. Omer Friedland, Yosef Yomdin
    Pages 147-157
  7. Apostolos Giannopoulos, Emanuel Milman
    Pages 159-182
  8. Bo’az Klartag
    Pages 231-260
  9. Alexander Koldobsky
    Pages 261-271
  10. Alexander V. Kolesnikov, Emanuel Milman
    Pages 273-292
  11. Rafał Latała
    Pages 293-307

About this book


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.


80M35,26A51,32-XX,46-XX,60-XX Asymptotic Geometric Analysis Convex Geometry Functional Analysis Geometric Probability Spectral Analysis

Editors and affiliations

  • Bo'az Klartag
    • 1
  • Emanuel Milman
    • 2
  1. 1.School of Mathematical SciencesTel Aviv UniversityTel AvivIsrael
  2. 2.Technion - Israel Institute of TechnologyHaifaIsrael

Bibliographic information

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