↓ Skip to main content

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
  13. Altmetric Badge
    Chapter 12 Non-standard Constructions in Convex Geometry: Geometric Means of Convex Bodies
  14. Altmetric Badge
    Chapter 13 Randomized Isoperimetric Inequalities
  15. Altmetric Badge
    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 4: Structured Random Matrices
Altmetric Badge

About this Attention Score

  • Average Attention Score compared to outputs of the same age and source

Mentioned by

twitter
2 X users

Citations

dimensions_citation
9 Dimensions

Readers on

mendeley
27 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Chapter title
Structured Random Matrices
Chapter number 4
Book title
Convexity and Concentration
Published in
arXiv, April 2017
DOI 10.1007/978-1-4939-7005-6_4
Book ISBNs
978-1-4939-7004-9, 978-1-4939-7005-6
Authors

Ramon van Handel

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 27 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 4%
Unknown 26 96%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 12 44%
Researcher 4 15%
Student > Master 4 15%
Student > Bachelor 2 7%
Professor 1 4%
Other 3 11%
Unknown 1 4%
Readers by discipline Count As %
Mathematics 10 37%
Engineering 6 22%
Physics and Astronomy 5 19%
Computer Science 1 4%
Unknown 5 19%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. 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 19 October 2016.
All research outputs
#17,820,151
of 22,893,031 outputs
Outputs from arXiv
#440,634
of 939,935 outputs
Outputs of similar age
#220,127
of 309,434 outputs
Outputs of similar age from arXiv
#9,833
of 17,753 outputs
Altmetric has tracked 22,893,031 research outputs across all sources so far. This one is in the 19th percentile – i.e., 19% of other outputs scored the same or lower than it.
So far Altmetric has tracked 939,935 research outputs from this source. They receive a mean Attention Score of 3.9. This one is in the 42nd percentile – i.e., 42% of its peers scored the same or lower than it.
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 309,434 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 24th percentile – i.e., 24% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 17,753 others from the same source and published within six weeks on either side of this one. This one is in the 31st percentile – i.e., 31% of its contemporaries scored the same or lower than it.