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An Initiation To Logarithmic Sobolev Inequalities
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Book Synopsis An Initiation to Logarithmic Sobolev Inequalities by : Gilles Royer
Download or read book An Initiation to Logarithmic Sobolev Inequalities written by Gilles Royer and published by American Mathematical Soc.. This book was released on 2007 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to logarithmic Sobolev inequalities with some important applications to mathematical statistical physics. Royer begins by gathering and reviewing the necessary background material on selfadjoint operators, semigroups, Kolmogorov diffusion processes, and solutions of stochastic differential equations.
Book Synopsis Logarithmic Sobolev Inequalities by : Michael Hugo Schneider
Download or read book Logarithmic Sobolev Inequalities written by Michael Hugo Schneider and published by . This book was released on 1977 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logarithmic Sobolev Inequalities for the Free Loop Group by : Trevor R. Carson
Download or read book Logarithmic Sobolev Inequalities for the Free Loop Group written by Trevor R. Carson and published by . This book was released on 1997 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Logarithmic Sobolev Inequalities by : Peter J. Mansfield
Download or read book On Logarithmic Sobolev Inequalities written by Peter J. Mansfield and published by . This book was released on 1977 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Monotonicity Property of Logarithmic Sobolev Inequalities by : Mats Erik Andersson
Download or read book A Monotonicity Property of Logarithmic Sobolev Inequalities written by Mats Erik Andersson and published by . This book was released on 1998 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis and Geometry of Markov Diffusion Operators by : Dominique Bakry
Download or read book Analysis and Geometry of Markov Diffusion Operators written by Dominique Bakry and published by Springer Science & Business Media. This book was released on 2013-11-18 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.
Book Synopsis An Analytic Proof of the Logarithmic Sobolev Inequality by : Stephen Avsec
Download or read book An Analytic Proof of the Logarithmic Sobolev Inequality written by Stephen Avsec and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logarithmic Sobolev Inequalities Via Brunn- Minkowski by : Gabrielle Melamed
Download or read book Logarithmic Sobolev Inequalities Via Brunn- Minkowski written by Gabrielle Melamed and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logarithmic Sobolev inequality with respect to the Gaussian measure in Euclidean space was proven in 1975. Since then the inequality has been studied through myriad lenses and in different contexts. This thesis aims to understand how to prove log Sobolev inequalities with respect to more general log-concave measures. In this thesis we review the results in From Brunn-Minkowski to Brascamp-Lieb and to Logarithmic Sobolev inequalities [1]. The authors use elementary yet clever techniques to prove such functional inequalities under minimal assumptions. Our analysis presents these ideas and expands on some of the more nuanced details.
Book Synopsis Free Energy Computations: A Mathematical Perspective by : Mathias Rousset
Download or read book Free Energy Computations: A Mathematical Perspective written by Mathias Rousset and published by World Scientific. This book was released on 2010-06-10 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a general introduction to advanced computational methods for free energy calculations, from the systematic and rigorous point of view of applied mathematics. Free energy calculations in molecular dynamics have become an outstanding and increasingly broad computational field in physics, chemistry and molecular biology within the past few years, by making possible the analysis of complex molecular systems. This work proposes a new, general and rigorous presentation, intended both for practitioners interested in a mathematical treatment, and for applied mathematicians interested in molecular dynamics./a
Book Synopsis The Logarithmic-Sobolev Inequality in Infinite Dimensions by :
Download or read book The Logarithmic-Sobolev Inequality in Infinite Dimensions written by and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Aspects of Functional Analysis by : Ronen Eldan
Download or read book Geometric Aspects of Functional Analysis written by Ronen Eldan and published by Springer Nature. This book was released on 2023-11-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via quantitative estimates in the Central Limit Theorem under thin-shell and related assumptions. Classical convexity theory plays a central role in this volume, as well as the study of geometric inequalities. These inequalities, which are somewhat in spirit of the Brunn-Minkowski inequality, in turn shed light on convexity and on the geometry of Euclidean space. Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces. Also discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction from the 19th century.
Download or read book Harmonic Analysis written by Barry Simon and published by American Mathematical Soc.. This book was released on 2015-11-02 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 3 returns to the themes of Part 1 by discussing pointwise limits (going beyond the usual focus on the Hardy-Littlewood maximal function by including ergodic theorems and martingale convergence), harmonic functions and potential theory, frames and wavelets, spaces (including bounded mean oscillation (BMO)) and, in the final chapter, lots of inequalities, including Sobolev spaces, Calderon-Zygmund estimates, and hypercontractive semigroups.
Book Synopsis A New Criterion for the Logarithmic Sobolev Inequality by : Felix Otto
Download or read book A New Criterion for the Logarithmic Sobolev Inequality written by Felix Otto and published by . This book was released on 2006 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A two-scale approach to logarithmic Sobolev by : Cédric Villani
Download or read book A two-scale approach to logarithmic Sobolev written by Cédric Villani and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Geometric Analysis, Part II by : Shiri Artstein-Avidan
Download or read book Asymptotic Geometric Analysis, Part II written by Shiri Artstein-Avidan and published by American Mathematical Society. This book was released on 2021-12-13 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series. Asymptotic geometric analysis studies properties of geometric objects, such as normed spaces, convex bodies, or convex functions, when the dimensions of these objects increase to infinity. The asymptotic approach reveals many very novel phenomena which influence other fields in mathematics, especially where a large data set is of main concern, or a number of parameters which becomes uncontrollably large. One of the important features of this new theory is in developing tools which allow studying high parametric families. Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, the Banach-Mazur compactum, symmetrizations, restricted invertibility, and functional versions of geometric notions and inequalities.
Book Synopsis Geometric Aspects of Functional Analysis by : Bo'az Klartag
Download or read book Geometric Aspects of Functional Analysis written by Bo'az Klartag and published by Springer. This book was released on 2012-07-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers.
Book Synopsis An Introduction to Random Matrices by : Greg W. Anderson
Download or read book An Introduction to Random Matrices written by Greg W. Anderson and published by Cambridge University Press. This book was released on 2010 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.
