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On Dobrushins Way
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Book Synopsis On Dobrushin's Way. From Probability Theory to Statistical Physics by : Robert A. Minlos
Download or read book On Dobrushin's Way. From Probability Theory to Statistical Physics written by Robert A. Minlos and published by American Mathematical Soc.. This book was released on 2000 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fellow Russian mathematicians discuss and extend the works of Dobrushin (1929-95,), who worked in many areas of mathematics, but had deepest influence on mathematical physics and was one of the founders of the rigorous study of statistical physics. The 15 technical papers are flanked by a short biography and recollections by colleagues and students. The topics include the lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model, non-symmetric simple random walks along orbits of ergodic automorphisms, the Cramer transform and large deviations on three- dimensional Lobachevsky space, and dynamics of Ising-spin systems at zero temperature. No index is provided. Annotation copyrighted by Book News, Inc., Portland, OR.
Book Synopsis Statistical Mechanics of Lattice Systems by : Sacha Friedli
Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Book Synopsis Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by : Josep Diaz
Download or read book Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques written by Josep Diaz and published by Springer. This book was released on 2006-08-29 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the joint refereed proceedings of the 9th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2006 and the 10th International Workshop on Randomization and Computation, RANDOM 2006. The book presents 44 carefully reviewed and revised full papers. Among the topics covered are design and analysis of approximation algorithms, hardness of approximation problems, small spaces and data streaming algorithms, embeddings and metric space methods, and more.
Book Synopsis Feynman-Kac-Type Theorems and Gibbs Measures on Path Space by : József Lörinczi
Download or read book Feynman-Kac-Type Theorems and Gibbs Measures on Path Space written by József Lörinczi and published by Walter de Gruyter. This book was released on 2011-08-29 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.
Book Synopsis Randomized Algorithms: Approximation, Generation, and Counting by : Russ Bubley
Download or read book Randomized Algorithms: Approximation, Generation, and Counting written by Russ Bubley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomized Algorithms discusses two problems of fine pedigree: counting and generation, both of which are of fundamental importance to discrete mathematics and probability. When asking questions like "How many are there?" and "What does it look like on average?" of families of combinatorial structures, answers are often difficult to find -- we can be blocked by seemingly intractable algorithms. Randomized Algorithms shows how to get around the problem of intractability with the Markov chain Monte Carlo method, as well as highlighting the method's natural limits. It uses the technique of coupling before introducing "path coupling" a new technique which radically simplifies and improves upon previous methods in the area.
Book Synopsis Children and Yiddish Literature From Early Modernity to Post-Modernity by : Gennady Estraikh
Download or read book Children and Yiddish Literature From Early Modernity to Post-Modernity written by Gennady Estraikh and published by Routledge. This book was released on 2016-05-20 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children have occupied a prominent place in Yiddish literature since early modern times, but children’s literature as a genre has its beginnings in the early 20th century. Its emergence reflected the desire of Jewish intellectuals to introduce modern forms of education, and promote ideological agendas, both in Eastern Europe and in immigrant communities elsewhere. Before the Second World War, a number of publishing houses and periodicals in Europe and the Americas specialized in stories, novels and poems for various age groups. Prominent authors such as Yankev Glatshteyn, Der Nister, Joseph Opatoshu, Leyb Kvitko, made original contributions to the genre, while artists, such as Marc Chagall, El Lissitzky and Yisakhar Ber Rybak, also took an active part. In the Soviet Union, meanwhile, children’s literature provided an opportunity to escape strong ideological pressure. Yiddish children’s literature is still being produced today, both for secular and strongly Orthodox communities. This volume is a pioneering collective study not only of children’s literature but of the role played by children in literature.
Book Synopsis Statistical Physics and Dynamical Systems by : FRITZ
Download or read book Statistical Physics and Dynamical Systems written by FRITZ and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Probability Theory and Statistics by : Roland Dobrushin
Download or read book Lectures on Probability Theory and Statistics written by Roland Dobrushin and published by Springer. This book was released on 2006-11-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Graphs, Phase Transitions, and the Gaussian Free Field by : Martin T. Barlow
Download or read book Random Graphs, Phase Transitions, and the Gaussian Free Field written by Martin T. Barlow and published by Springer Nature. This book was released on 2019-12-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures. The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt) Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin) Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.
Book Synopsis Large Deviations by : Jean-Dominique Deuschel
Download or read book Large Deviations written by Jean-Dominique Deuschel and published by American Mathematical Soc.. This book was released on 2001 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).
Book Synopsis A Course on Large Deviations with an Introduction to Gibbs Measures by : Firas Rassoul-Agha
Download or read book A Course on Large Deviations with an Introduction to Gibbs Measures written by Firas Rassoul-Agha and published by American Mathematical Soc.. This book was released on 2015-03-12 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter course. The book begins with a straightforward approach to the key ideas and results of large deviation theory in the context of independent identically distributed random variables. This includes Cramér's theorem, relative entropy, Sanov's theorem, process level large deviations, convex duality, and change of measure arguments. Dependence is introduced through the interactions potentials of equilibrium statistical mechanics. The phase transition of the Ising model is proved in two different ways: first in the classical way with the Peierls argument, Dobrushin's uniqueness condition, and correlation inequalities and then a second time through the percolation approach. Beyond the large deviations of independent variables and Gibbs measures, later parts of the book treat large deviations of Markov chains, the Gärtner-Ellis theorem, and a large deviation theorem of Baxter and Jain that is then applied to a nonstationary process and a random walk in a dynamical random environment. The book has been used with students from mathematics, statistics, engineering, and the sciences and has been written for a broad audience with advanced technical training. Appendixes review basic material from analysis and probability theory and also prove some of the technical results used in the text.
Book Synopsis From Kabbalah to Class Struggle by : Mikhail Krutikov
Download or read book From Kabbalah to Class Struggle written by Mikhail Krutikov and published by Stanford University Press. This book was released on 2010-11-09 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Kabbalah to Class Struggle is an intellectual biography of Meir Wiener (1893–1941), an Austrian Jewish intellectual and a student of Jewish mysticism who emigrated to the Soviet Union in 1926 and reinvented himself as a Marxist scholar and Yiddish writer. His dramatic life story offers a fascinating glimpse into the complexities and controversies of Jewish intellectual and cultural history of pre-war Europe. Wiener made a remarkable career as a Yiddish scholar and writer in the Stalinist Soviet Union and left an unfinished novel about Jewish intellectual bohemia of Weimar Berlin. He was a brilliant intellectual, a controversial thinker, a committed communist, and a great Yiddish scholar—who personally knew Lenin and Rabbi Kook, corresponded with Martin Buber and Hugo von Hofmannsthal, and argued with Gershom Scholem and Georg Lukács. His intellectual biography brings Yiddish to the forefront of the intellectual discourse of interwar Europe.
Book Synopsis Optimal Transport by : Cédric Villani
Download or read book Optimal Transport written by Cédric Villani and published by Springer Science & Business Media. This book was released on 2008-10-26 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.
Book Synopsis Combinatorics and Probability by : Graham Brightwell
Download or read book Combinatorics and Probability written by Graham Brightwell and published by Cambridge University Press. This book was released on 2007-03-08 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.
Book Synopsis High Temperature Differentiability of Lattice Gibbs States by Dobrushin Uniqueness Techniques by : Chetan Prakash
Download or read book High Temperature Differentiability of Lattice Gibbs States by Dobrushin Uniqueness Techniques written by Chetan Prakash and published by . This book was released on 1982 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Markov Chains to Non-Equilibrium Particle Systems by : Mu-Fa Chen
Download or read book From Markov Chains to Non-Equilibrium Particle Systems written by Mu-Fa Chen and published by World Scientific. This book was released on 2004-03-23 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction–diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students. Contents:An Overview of the Book: Starting from Markov ChainsGeneral Jump Processes:Transition Function and Its Laplace TransformExistence and Simple Constructions of Jump ProcessesUniqueness CriteriaRecurrence, Ergodicity and Invariant MeasuresProbability Metrics and Coupling MethodsSymmetrizable Jump Processes:Symmetrizable Jump Processes and Dirichlet FormsField TheoryLarge DeviationsSpectral GapEquilibrium Particle Systems:Random FieldsReversible Spin Processes and Exclusion ProcessesYang–Mills Lattice FieldNon-Equilibrium Particle Systems:Constructions of the ProcessesExistence of Stationary Distributions and ErgodicityPhase TransitionsHydrodynamic Limits Readership: Upper-level undergraduates, graduate students and researchers in mathematical physics, probability and statistics. Keywords:Jump Process;Reversible Jump Process;Spectral Gap;Coupling Method;Large Deviation;Random Field;Reaction-Diffusion Process;Hydrodynamic LimitReviews:“… this book should be very useful to anyone interested in Markov processes, because it can serve as an introduction to a large variety of subjects and models, as well as an account of some recent works of Chinese probabilists.”Mathematical Reviews Reviews of the First Edition: “More recently, the school led by the author in Beijing has worked on the construction and ergodic theory of the class of interacting particle systems known as reaction diffusion processes … This book provides a useful account of a substantial portion of the work of Chinese probabilists over the past two decades, much of which has been relatively inaccessible to Western workers … this is a useful reference work for probabilists working in these areas, and a contribution to international communication in probability theory.”Mathematical Reviews “The book is a comprehensive account of the theory of jump processes and particle systems. The author is an outstanding Chinese specialist in probability theory and stochastic processes creating the Chinese school of Markov processes.”Zentralblatt fur Mathematik “He did a lot to popularize the subject in China and with Yan Shi-Jian was instrumental in having the second special year 1988–89 at the Nankai Institute devoted to probability … The book is admirable not only for the circumstances in which it is written but for what it contains … Chen's book contains a wide variety of topics that cannot be found in any other place … if you are curious about interacting particle systems this book belongs on your bookshelf.”SIAM Reviews '
Book Synopsis Analytic Methods in Applied Probability by : Yu. M. Suhov
Download or read book Analytic Methods in Applied Probability written by Yu. M. Suhov and published by American Mathematical Soc.. This book was released on 2002 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to F. I. Karpelevich, an outstanding Russian mathematician who made important contributions to applied probability theory. The book contains original papers focusing on several areas of applied probability and its uses in modern industrial processes, telecommunications, computing, mathematical economics, and finance. It opens with a review of Karpelevich's contributions to applied probability theory and includes a bibliography of his works. Other articles discuss queueing network theory, in particular, in heavy traffic approximation (fluid models). The book is suitable for graduate students, theoretical and applied probabilists, computer scientists, and engineers.
