Coverart for item
The Resource Convexity and Concentration, edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, (electronic resource)

Convexity and Concentration, edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, (electronic resource)

Label
Convexity and Concentration
Title
Convexity and Concentration
Statement of responsibility
edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner
Contributor
Editor
Subject
Language
eng
Summary
This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The volume is organized into two parts. Part I contains those contributions that focus primarily on problems motivated by probability theory, while Part II contains those contributions that focus primarily on problems motivated by convex geometry and geometric analysis. This book will be of use to those who research convex geometry, geometric analysis and probability directly or apply such methods in other fields.--
Member of
Assigning source
Provided by publisher
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Carlen, Eric
  • Madiman, Mokshay
  • Werner, Elisabeth M
Series statement
  • Springer eBooks
  • The IMA Volumes in Mathematics and its Applications,
Series volume
161
http://library.link/vocab/subjectName
  • Mathematics
  • Convex geometry
  • Discrete geometry
  • Probabilities
Label
Convexity and Concentration, edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-7005-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part I: Probability and Concentration -- Interpolation of Probability Measures on Graphs -- Entropy and Thinning of Discrete Random Variables -- Structured Random Matrices -- Rates of Convergence for Empirical Spectral Measures: A Soft Approach -- Concentration of MEasure without Independence: A Unified Approach via the Martingale Method -- Strong Data-Processing Inequalities for Channels and Bayesian Networks -- An Application of a Functional Inequality to Quasi Invariance in Infinite Dimensions -- Borell's Formula on a Riemannian Manifold and Applications -- Fourth Moments and Products: Unified Estimates -- Asymptotic Expansions for Products of Characteristic Functions Under Moment Assumptions of non-Integer Orders -- Part II: Convexity and Concentration for Sets and Functions -- Non-Standard Constructions in Convex Geometry: Geometric Means of Convex Bodies -- Randomized Isoperimetric Inequalities -- Forward and Reverse Entropy Power Inequalities in Convex Geometry -- Log-Concave Functions -- On Some Problems Concerning Log-Concave Random Vectors -- Stability Results for Some Geometric Inequalities and their Functional Versions -- Measures of Sections of Convex Bodies -- On Isoperimetric Functions of Probability Measures Having Log-Concave Densities with Respect to the Standard Normal Law -- Counting Integer Points in Higher-Dimensional Polytopes -- The Chain Rule Operator Equation for Polynomials and Entire Functions
Control code
978-1-4939-7005-6
Dimensions
unknown
Extent
1 online resource (X, 626 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493970056
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4939-7005-6
Other physical details
6 illustrations, 5 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)983830976
Label
Convexity and Concentration, edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-7005-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Part I: Probability and Concentration -- Interpolation of Probability Measures on Graphs -- Entropy and Thinning of Discrete Random Variables -- Structured Random Matrices -- Rates of Convergence for Empirical Spectral Measures: A Soft Approach -- Concentration of MEasure without Independence: A Unified Approach via the Martingale Method -- Strong Data-Processing Inequalities for Channels and Bayesian Networks -- An Application of a Functional Inequality to Quasi Invariance in Infinite Dimensions -- Borell's Formula on a Riemannian Manifold and Applications -- Fourth Moments and Products: Unified Estimates -- Asymptotic Expansions for Products of Characteristic Functions Under Moment Assumptions of non-Integer Orders -- Part II: Convexity and Concentration for Sets and Functions -- Non-Standard Constructions in Convex Geometry: Geometric Means of Convex Bodies -- Randomized Isoperimetric Inequalities -- Forward and Reverse Entropy Power Inequalities in Convex Geometry -- Log-Concave Functions -- On Some Problems Concerning Log-Concave Random Vectors -- Stability Results for Some Geometric Inequalities and their Functional Versions -- Measures of Sections of Convex Bodies -- On Isoperimetric Functions of Probability Measures Having Log-Concave Densities with Respect to the Standard Normal Law -- Counting Integer Points in Higher-Dimensional Polytopes -- The Chain Rule Operator Equation for Polynomials and Entire Functions
Control code
978-1-4939-7005-6
Dimensions
unknown
Extent
1 online resource (X, 626 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493970056
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4939-7005-6
Other physical details
6 illustrations, 5 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)983830976

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