國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁 到查詢結果 [ subject:"Convex domains." ]

切換: 標籤 | MARC模式 | ISBD

Convexity and concentration

Carlen, Eric.

Convexity and concentration

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Convexity and concentrationedited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner.
其他作者:	Carlen, Eric.
出版者:	New York, NY :Springer New York :2017.
面頁冊數:	x, 626 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Convex domains.
電子資源:	http://dx.doi.org/10.1007/978-1-4939-7005-6
ISBN:	9781493970056$q(electronic bk.)

Convexity and concentration
Convexity and concentration[electronic resource] /edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner. - New York, NY :Springer New York :2017. - x, 626 p. :ill. (some col.), digital ;24 cm. - The IMA volumes in mathematics and its applications,v.1610940-6573 ;. - IMA volumes in mathematics and its applications ;v.157..

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.

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.

ISBN: 9781493970056$q(electronic bk.)

Standard No.: 10.1007/978-1-4939-7005-6doiSubjects--Topical Terms:

198918
Convex domains.

LC Class. No.: QA639.5

Dewey Class. No.: 516.08

Convexity and concentration
LDR:03423nmm a2200349 a 4500 001 512177
003 DE-He213
005 20170420115247.0
006 m d
007 cr nn 008maaau
008 171226s2017 nyu s 0 eng d
020 $a 9781493970056$q(electronic bk.)
020 $a 9781493970049$q(paper)
024 7 $a 10.1007/978-1-4939-7005-6 $2 doi
035 $a 978-1-4939-7005-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA639.5
072 7 $a PBMW $2 bicssc
072 7 $a PBD $2 bicssc
072 7 $a MAT012020 $2 bisacsh
072 7 $a MAT008000 $2 bisacsh
082 0 4 $a 516.08 $2 23
090 $a QA639.5 $b .C766 2017
245 0 0 $a Convexity and concentration $h [electronic resource] / $c edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2017.
300 $a x, 626 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a The IMA volumes in mathematics and its applications, $x 0940-6573 ; $v v.161
505 0 $a 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.
520 $a 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.
650 0 $a Convex domains. $3 198918
650 0 $a Probabilities. $3 182046
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Convex and Discrete Geometry. $3 277230
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
700 1 $a Carlen, Eric. $3 779927
700 1 $a Madiman, Mokshay. $3 779928
700 1 $a Werner, Elisabeth M. $3 779929
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a IMA volumes in mathematics and its applications ; $v v.157. $3 677403
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-7005-6
950 $a Mathematics and Statistics (Springer-11649)