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  • © 2014

Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2011-2013

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

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Table of contents (31 chapters)

  1. Front Matter

    Pages i-ix
  2. Gaussian Free Field on Hyperbolic Lattices

    • Itai Benjamini
    Pages 39-45
  3. Point-to-Point Distance in First Passage Percolation on (Tree) ×Z

    • Itai Benjamini, Pascal Maillard
    Pages 47-51
  4. On the Oscillation Rigidity of a Lipschitz Function on a High-Dimensional Flat Torus

    • Dmitry Faifman, Bo’az Klartag, Vitali Milman
    Pages 123-131
  5. Identifying Set Inclusion by Projective Positions and Mixed Volumes

    • Dan Florentin, Vitali Milman, Alexander Segal
    Pages 133-145
  6. Vitushkin-Type Theorems

    • Omer Friedland, Yosef Yomdin
    Pages 147-157
  7. M-Estimates for Isotropic Convex Bodies and Their L q -Centroid Bodies

    • Apostolos Giannopoulos, Emanuel Milman
    Pages 159-182
  8. Logarithmically-Concave Moment Measures I

    • Bo’az Klartag
    Pages 231-260
  9. Estimates for Measures of Sections of Convex Bodies

    • Alexander Koldobsky
    Pages 261-271
  10. Remarks on the KLS Conjecture and Hardy-Type Inequalities

    • Alexander V. Kolesnikov, Emanuel Milman
    Pages 273-292
  11. Modified Paouris Inequality

    • RafaÅ‚ LataÅ‚a
    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.

Keywords

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

Editors and Affiliations

  • School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

    Bo'az Klartag

  • Technion - Israel Institute of Technology, Haifa, Israel

    Emanuel Milman

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions