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Geometric Aspects of Functional Analysis

Overview of attention for book
Cover of 'Geometric Aspects of Functional Analysis'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    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
Overall attention for this book and its chapters
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About this Attention Score

  • Average Attention Score compared to outputs of the same age
  • High Attention Score compared to outputs of the same age and source (81st percentile)

Mentioned by

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Citations

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Readers on

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Title
Geometric Aspects of Functional Analysis
Published by
arXiv, October 2014
DOI 10.1007/978-3-319-09477-9
ISBNs
978-3-31-909476-2, 978-3-31-909477-9
Authors

Itai Benjamini, Pascal Maillard

Editors

Klartag, Bo'az, Milman, Emanuel

X Demographics

X Demographics

The data shown below were collected from the profiles of 4 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 8 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 8 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 13%
Unknown 7 88%
Readers by discipline Count As %
Mathematics 1 13%
Unknown 7 88%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 12 December 2013.
All research outputs
#16,143,186
of 25,515,042 outputs
Outputs from arXiv
#270,228
of 924,684 outputs
Outputs of similar age
#144,617
of 267,799 outputs
Outputs of similar age from arXiv
#1,765
of 11,047 outputs
Altmetric has tracked 25,515,042 research outputs across all sources so far. This one is in the 34th percentile – i.e., 34% of other outputs scored the same or lower than it.
So far Altmetric has tracked 924,684 research outputs from this source. They receive a mean Attention Score of 4.3. This one has gotten more attention than average, scoring higher than 66% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 267,799 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 43rd percentile – i.e., 43% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 11,047 others from the same source and published within six weeks on either side of this one. This one has done well, scoring higher than 81% of its contemporaries.