Geometric Aspects of Functional Analysis

Table of Contents

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   Book Overview
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   Chapter 1 Dyson Processes Associated with Associative Algebras: The Clifford Case
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   Chapter 2 Gaussian Free Field on Hyperbolic Lattices
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   Chapter 3 Point-to-Point Distance in First Passage Percolation on (Tree) × Z
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   Chapter 4 A Lower Bound for the Bergman Kernel and the Bourgain-Milman Inequality
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   Chapter 5 An Improved Estimate in the Restricted Isometry Problem
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   Chapter 6 On Eigenvalue Spacings for the 1-D Anderson Model with Singular Site Distribution
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   Chapter 7 On the Local Eigenvalue Spacings for Certain Anderson-Bernoulli Hamiltonians
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   Chapter 8 On the Control Problem for Schrödinger Operators on Tori
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    Chapter 9 Bounding the Norm of a Log-Concave Vector Via Thin-Shell Estimates
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    Chapter 10 On the Oscillation Rigidity of a Lipschitz Function on a High-Dimensional Flat Torus
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    Chapter 11 Identifying Set Inclusion by Projective Positions and Mixed Volumes
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    Chapter 12 Vitushkin-Type Theorems
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    Chapter 13 M -Estimates for Isotropic Convex Bodies and Their L q -Centroid Bodies
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    Chapter 14 Remarks on the Central Limit Theorem for Non-convex Bodies
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    Chapter 15 Reflectionless Measures and the Mattila-Melnikov-Verdera Uniform Rectifiability Theorem
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    Chapter 16 Logarithmically-Concave Moment Measures I
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    Chapter 17 Estimates for Measures of Sections of Convex Bodies
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    Chapter 18 Remarks on the KLS Conjecture and Hardy-Type Inequalities
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    Chapter 19 Modified Paouris Inequality
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    Chapter 20 Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities
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    Chapter 21 Quantitative Version of a Silverstein’s Result
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    Chapter 22 The (B) Conjecture for Uniform Measures in the Plane
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    Chapter 23 Maximal Surface Area of a Convex Set in $$\mathbb{R}^{n}$$ with Respect to Log Concave Rotation Invariant Measures
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    Chapter 24 On the Equivalence of Modes of Convergence for Log-Concave Measures
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    Chapter 25 A Remark on the Diameter of Random Sections of Convex Bodies
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    Chapter 26 A Note on Certain Convolution Operators
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    Chapter 27 On Isotropicity with Respect to a Measure
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    Chapter 28 A Formula for Mixed Volumes
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    Chapter 29 On Convergence of Blaschke and Minkowski Symmetrization Through Stability Results
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    Chapter 30 Positive Temperature Versions of Two Theorems on First-Passage Percolation
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    Chapter 31 The Randomized Dvoretzky’s Theorem in $$l_{\infty }^{n}$$ and the χ -Distribution