An Initiation To Logarithmic Sobolev Inequalities
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Author |
: Gilles Royer |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 132 |
Release |
: 2007 |
ISBN-10 |
: 0821844016 |
ISBN-13 |
: 9780821844014 |
Rating |
: 4/5 (16 Downloads) |
Synopsis An Initiation to Logarithmic Sobolev Inequalities by : Gilles Royer
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.
Author |
: Michael Hugo Schneider |
Publisher |
: |
Total Pages |
: 46 |
Release |
: 1977 |
ISBN-10 |
: OCLC:3376347 |
ISBN-13 |
: |
Rating |
: 4/5 (47 Downloads) |
Synopsis Logarithmic Sobolev Inequalities by : Michael Hugo Schneider
Author |
: Trevor R. Carson |
Publisher |
: |
Total Pages |
: 234 |
Release |
: 1997 |
ISBN-10 |
: UCSD:31822023519648 |
ISBN-13 |
: |
Rating |
: 4/5 (48 Downloads) |
Synopsis Logarithmic Sobolev Inequalities for the Free Loop Group by : Trevor R. Carson
Author |
: Mats Erik Andersson |
Publisher |
: |
Total Pages |
: 4 |
Release |
: 1998 |
ISBN-10 |
: OCLC:245738607 |
ISBN-13 |
: |
Rating |
: 4/5 (07 Downloads) |
Synopsis A Monotonicity Property of Logarithmic Sobolev Inequalities by : Mats Erik Andersson
Author |
: Dominique Bakry |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 555 |
Release |
: 2013-11-18 |
ISBN-10 |
: 9783319002279 |
ISBN-13 |
: 3319002279 |
Rating |
: 4/5 (79 Downloads) |
Synopsis Analysis and Geometry of Markov Diffusion Operators by : Dominique Bakry
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.
Author |
: Stephen Avsec |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2006 |
ISBN-10 |
: OCLC:1340463589 |
ISBN-13 |
: |
Rating |
: 4/5 (89 Downloads) |
Synopsis An Analytic Proof of the Logarithmic Sobolev Inequality by : Stephen Avsec
Author |
: Mathias Rousset |
Publisher |
: World Scientific |
Total Pages |
: 471 |
Release |
: 2010-06-10 |
ISBN-10 |
: 9781908978752 |
ISBN-13 |
: 1908978759 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Free Energy Computations: A Mathematical Perspective by : Mathias Rousset
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
Author |
: |
Publisher |
: |
Total Pages |
: |
Release |
: 2010 |
ISBN-10 |
: OCLC:930656359 |
ISBN-13 |
: |
Rating |
: 4/5 (59 Downloads) |
Synopsis The Logarithmic-Sobolev Inequality in Infinite Dimensions by :
Author |
: Ronen Eldan |
Publisher |
: Springer Nature |
Total Pages |
: 443 |
Release |
: 2023-11-01 |
ISBN-10 |
: 9783031263002 |
ISBN-13 |
: 3031263006 |
Rating |
: 4/5 (02 Downloads) |
Synopsis Geometric Aspects of Functional Analysis by : Ronen Eldan
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.
Author |
: Barry Simon |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 779 |
Release |
: 2015-11-02 |
ISBN-10 |
: 9781470411022 |
ISBN-13 |
: 1470411024 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Harmonic Analysis by : Barry Simon
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.