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007 cr nn 008mamaa
008 170420s2017 xxu| s |||| 0|eng d
020 _a9781493970056
_9978-1-4939-7005-6
024 7 _a10.1007/978-1-4939-7005-6
_2doi
040 _aISI Library, Kolkata
050 4 _aQA639.5-640.7
050 4 _aQA640.7-640.77
072 7 _aPBMW
_2bicssc
072 7 _aMAT012020
_2bisacsh
072 7 _aPBMW
_2thema
072 7 _aPBD
_2thema
082 0 4 _a516.1
_223
245 1 0 _aConvexity and Concentration
_h[electronic resource] /
_cedited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2017.
300 _aX, 626 p. 6 illus., 5 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573 ;
_v161
505 0 _aPart 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 _aThis 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 _aDiscrete groups.
650 0 _aDistribution (Probability theory.
650 1 4 _aConvex and Discrete Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21014
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
700 1 _aCarlen, Eric.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aMadiman, Mokshay.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aWerner, Elisabeth M.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781493970049
776 0 8 _iPrinted edition:
_z9781493970063
776 0 8 _iPrinted edition:
_z9781493983650
830 0 _aThe IMA Volumes in Mathematics and its Applications,
_x0940-6573 ;
_v161
856 4 0 _uhttps://doi.org/10.1007/978-1-4939-7005-6
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427121
_d427121