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)
Resource Information
The item Convexity and Concentration, edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Convexity and Concentration, edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This volume presents some of the research topics discussed at the 20142015 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.
 Language
 eng
 Extent
 1 online resource (X, 626 pages)
 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 DataProcessing 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 nonInteger Orders
 Part II: Convexity and Concentration for Sets and Functions
 NonStandard Constructions in Convex Geometry: Geometric Means of Convex Bodies
 Randomized Isoperimetric Inequalities
 Forward and Reverse Entropy Power Inequalities in Convex Geometry
 LogConcave Functions
 On Some Problems Concerning LogConcave 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 LogConcave Densities with Respect to the Standard Normal Law
 Counting Integer Points in HigherDimensional Polytopes
 The Chain Rule Operator Equation for Polynomials and Entire Functions
 Isbn
 9781493970056
 Label
 Convexity and Concentration
 Title
 Convexity and Concentration
 Statement of responsibility
 edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner
 Language
 eng
 Summary
 This volume presents some of the research topics discussed at the 20142015 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.
 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)
 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 DataProcessing 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 nonInteger Orders  Part II: Convexity and Concentration for Sets and Functions  NonStandard Constructions in Convex Geometry: Geometric Means of Convex Bodies  Randomized Isoperimetric Inequalities  Forward and Reverse Entropy Power Inequalities in Convex Geometry  LogConcave Functions  On Some Problems Concerning LogConcave 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 LogConcave Densities with Respect to the Standard Normal Law  Counting Integer Points in HigherDimensional Polytopes  The Chain Rule Operator Equation for Polynomials and Entire Functions
 Control code
 9781493970056
 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, noncommercial 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
 10.1007/9781493970056
 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)
 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 DataProcessing 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 nonInteger Orders  Part II: Convexity and Concentration for Sets and Functions  NonStandard Constructions in Convex Geometry: Geometric Means of Convex Bodies  Randomized Isoperimetric Inequalities  Forward and Reverse Entropy Power Inequalities in Convex Geometry  LogConcave Functions  On Some Problems Concerning LogConcave 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 LogConcave Densities with Respect to the Standard Normal Law  Counting Integer Points in HigherDimensional Polytopes  The Chain Rule Operator Equation for Polynomials and Entire Functions
 Control code
 9781493970056
 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, noncommercial 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
 10.1007/9781493970056
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ConvexityandConcentrationeditedbyEric/R_bKNotl3H4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ConvexityandConcentrationeditedbyEric/R_bKNotl3H4/">Convexity and Concentration, edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>