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Convexity and Concentration

Overview of attention for book
Cover of 'Convexity and Concentration'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Interpolation of Probability Measures on Graphs
  3. Altmetric Badge
    Chapter 2 Entropy and Thinning of Discrete Random Variables
  4. Altmetric Badge
    Chapter 3 Concentration of Measure Principle and Entropy-Inequalities
  5. Altmetric Badge
    Chapter 4 Structured Random Matrices
  6. Altmetric Badge
    Chapter 5 Rates of Convergence for Empirical Spectral Measures: A Soft Approach
  7. Altmetric Badge
    Chapter 6 Concentration of Measure Without Independence: A Unified Approach Via the Martingale Method
  8. Altmetric Badge
    Chapter 7 Strong Data-Processing Inequalities for Channels and Bayesian Networks
  9. Altmetric Badge
    Chapter 8 An Application of a Functional Inequality to Quasi-Invariance in Infinite Dimensions
  10. Altmetric Badge
    Chapter 9 Borell’s Formula on a Riemannian Manifold and Applications
  11. Altmetric Badge
    Chapter 10 Fourth Moments and Products: Unified Estimates
  12. Altmetric Badge
    Chapter 11 Asymptotic Expansions for Products of Characteristic Functions Under Moment Assumptions of Non-integer Orders
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    Chapter 12 Non-standard Constructions in Convex Geometry: Geometric Means of Convex Bodies
  14. Altmetric Badge
    Chapter 13 Randomized Isoperimetric Inequalities
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    Chapter 14 Forward and Reverse Entropy Power Inequalities in Convex Geometry
  16. Altmetric Badge
    Chapter 15 Log-Concave Functions
  17. Altmetric Badge
    Chapter 16 On Some Problems Concerning Log-Concave Random Vectors
  18. Altmetric Badge
    Chapter 17 Stability Results for Some Geometric Inequalities and Their Functional Versions
  19. Altmetric Badge
    Chapter 18 Measures of Sections of Convex Bodies
  20. Altmetric Badge
    Chapter 19 On Isoperimetric Functions of Probability Measures Having Log-Concave Densities with Respect to the Standard Normal Law
  21. Altmetric Badge
    Chapter 20 Counting Integer Points in Higher-Dimensional Polytopes
  22. Altmetric Badge
    Chapter 21 The Chain Rule Operator Equation for Polynomials and Entire Functions
Attention for Chapter 5: Rates of Convergence for Empirical Spectral Measures: A Soft Approach
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • Good Attention Score compared to outputs of the same age (76th percentile)
  • High Attention Score compared to outputs of the same age and source (89th percentile)

Mentioned by

blogs
1 blog
twitter
2 X users

Citations

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9 Dimensions

Readers on

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4 Mendeley
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Chapter title
Rates of Convergence for Empirical Spectral Measures: A Soft Approach
Chapter number 5
Book title
Convexity and Concentration
Published in
arXiv, April 2017
DOI 10.1007/978-1-4939-7005-6_5
Book ISBNs
978-1-4939-7004-9, 978-1-4939-7005-6
Authors

Elizabeth S. Meckes, Mark W. Meckes

X Demographics

X Demographics

The data shown below were collected from the profiles of 2 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 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 4 100%
Readers by discipline Count As %
Mathematics 3 75%
Unknown 1 25%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 8. 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 01 September 2017.
All research outputs
#4,026,583
of 22,840,638 outputs
Outputs from arXiv
#85,501
of 937,738 outputs
Outputs of similar age
#71,626
of 309,345 outputs
Outputs of similar age from arXiv
#1,829
of 17,752 outputs
Altmetric has tracked 22,840,638 research outputs across all sources so far. Compared to these this one has done well and is in the 82nd percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 937,738 research outputs from this source. They receive a mean Attention Score of 3.9. This one has done particularly well, scoring higher than 90% 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 309,345 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 76% of its contemporaries.
We're also able to compare this research output to 17,752 others from the same source and published within six weeks on either side of this one. This one has done well, scoring higher than 89% of its contemporaries.