Convexity and concentration. ([2017])

• Record Type: Book
• Further Information: Note: Eric Carlen, Mokshay Madiman, Elisabeth M. Werner, editors.
• Editors: Carlen, Eric, 1957-; Madiman, Mokshay; Werner, Elisabeth M
• 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.
• Publisher Details: New York, NY : Springer
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource (x, 626 pages), illustrations (some color)
• Subjects: 516/.08; Mathematics; Convex geometry; Convex sets; Probabilities; MATHEMATICS -- Geometry -- General; Convex geometry; Convex sets; Probabilities; Mathematics; Convex and Discrete Geometry; Probability Theory and Stochastic Processes; Mathematics -- Probability & Statistics -- General; Probability & statistics; Discrete groups; Distribution (Probability theory); Mathematics -- Geometry -- Analytic; Algebraic geometry; Electronic books
• Languages: English
• ISBNs: 9781493970056; 1493970054
• Related ISBNs: 9781493970049; 1493970046
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from electronic title page (EBSCOHost, viewed March 2, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.