On Dobrushin's Way. From Probability Theory to Statistical Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821821503
Total Pages : 260 pages
Book Rating : 4.8/5 (215 download)

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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.

On Dobrushin's Way

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Publisher :
ISBN 13 : 9781470434090
Total Pages : 243 pages
Book Rating : 4.4/5 (34 download)

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Book Synopsis On Dobrushin's Way by :

Download or read book On Dobrushin's Way written by and published by . This book was released on 2000 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. Dobrushin worked in several branches of mathematics (probability theory, information theory), but his deepest influence was on mathematical physics. He was one of the founders of the rigorous study of statistical physics. When Dobrushin began working in that direction in the early sixties, only a few people worldwide were thinking along the same lines. Now there is an army of researchers in the field. This collection is devoted to the memory of R. L. Dobrushin. The authors who contributed to this collection knew him quite well and were his colleagues. The title, "On Dobrushin's Way", is mea.

Sojourns in Probability Theory and Statistical Physics - I

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Publisher : Springer Nature
ISBN 13 : 9811502943
Total Pages : 338 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Sojourns in Probability Theory and Statistical Physics - I by : Vladas Sidoravicius

Download or read book Sojourns in Probability Theory and Statistical Physics - I written by Vladas Sidoravicius and published by Springer Nature. This book was released on 2019-10-17 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

Sojourns in Probability Theory and Statistical Physics - II

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Publisher : Springer Nature
ISBN 13 : 9811502986
Total Pages : 261 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Sojourns in Probability Theory and Statistical Physics - II by : Vladas Sidoravicius

Download or read book Sojourns in Probability Theory and Statistical Physics - II written by Vladas Sidoravicius and published by Springer Nature. This book was released on 2019-10-17 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

Statistical Mechanics and Fractals

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Publisher : Springer
ISBN 13 : 3540482059
Total Pages : 103 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Statistical Mechanics and Fractals by : Roland L. Dobrushin

Download or read book Statistical Mechanics and Fractals written by Roland L. Dobrushin and published by Springer. This book was released on 2006-11-15 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is composed of two texts, by R.L. Dobrushin and S. Kusuoka, each representing the content of a course of lectures given by the authors. They are pitched at graduate student level and are thus very accessible introductions to their respective subjects for students and non specialists. CONTENTS: R.L. Dobrushin: On the Way to the Mathematical Foundations of Statistical Mechanics.- S. Kusuoka: Diffusion Processes on Nested Fractals.

Sojourns in Probability Theory and Statistical Physics - III

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Publisher : Springer Nature
ISBN 13 : 9811503028
Total Pages : 341 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Sojourns in Probability Theory and Statistical Physics - III by : Vladas Sidoravicius

Download or read book Sojourns in Probability Theory and Statistical Physics - III written by Vladas Sidoravicius and published by Springer Nature. This book was released on 2019-10-17 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

The Concept of Probability in Statistical Physics

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Publisher : Cambridge University Press
ISBN 13 : 0521621283
Total Pages : 283 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis The Concept of Probability in Statistical Physics by : Y. M. Guttmann

Download or read book The Concept of Probability in Statistical Physics written by Y. M. Guttmann and published by Cambridge University Press. This book was released on 1999-07-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.

Probability and Statistical Physics in Two and More Dimensions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821868632
Total Pages : 481 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Probability and Statistical Physics in Two and More Dimensions by : Clay Mathematics Institute. Summer School

Download or read book Probability and Statistical Physics in Two and More Dimensions written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2012 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, ``Probability and Statistical Physics in Two and More Dimensions'' and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways of coping with at least some of the limitations of Conformal Field Theory that had been so successfully developed in the theoretical physics community to understand phase transitions of two-dimensional systems. Included in this selection are detailed accounts of all three foundational courses presented at the Clay school--Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps--together with contributions on Fractal and Multifractal properties of SLE and Conformal Invariance of Lattice Models. Finally, the volume concludes with extended articles based on the courses on Random Polymers and Self-Avoiding Walks given at the Brazilian School of Probability during the final week of the school. Together, these notes provide a panoramic, state-of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. Like the lectures themselves, they are oriented towards advanced students and postdocs, but experts should also find much of interest.

Probability Contributions to Statistical Mechanics

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Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Probability Contributions to Statistical Mechanics by : R. L. Dobrushin

Download or read book Probability Contributions to Statistical Mechanics written by R. L. Dobrushin and published by American Mathematical Society(RI). This book was released on 1994 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics has always been a fertile source of new mathematical notions and ideas, and in the past decade the stream of ideas from physics to mathematics has increased dramatically. The subfield of statistical mechanics is no exception. Containing papers written by representatives of the Moscow school of mathematical statistical mechanics, this volume illustrates certain aspects of the developing interaction between statistical mechanics on the one hand and the theories of probability and of dynamical systems on the other. Included here are papers on random walks, phase transition phenomena for Gibbs random fields, the existence of nonstandard motion integrals in statistical physics models, and the Frenkel-Kontorova model.

Statistical Mechanics of Lattice Systems

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Publisher : Cambridge University Press
ISBN 13 : 1107184827
Total Pages : 643 pages
Book Rating : 4.1/5 (71 download)

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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.

Probability on Discrete Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540008453
Total Pages : 376 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Probability on Discrete Structures by : Harry Kesten

Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2004 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Statistical Physics

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Publisher : Courier Dover Publications
ISBN 13 : 0486810313
Total Pages : 385 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Statistical Physics by : Bernard H. Lavenda

Download or read book Statistical Physics written by Bernard H. Lavenda and published by Courier Dover Publications. This book was released on 2016-10-20 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for graduate students in chemical physics, statistical physics, and physical chemistry, this text develops an innovative, probabilistic approach to statistical mechanics. The treatment employs Gauss's principle and incorporates Bose-Einstein and Fermi-Dirac statistics to provide a powerful tool for the statistical analysis of physical phenomena. The treatment begins with an introductory chapter on entropy and probability that covers Boltzmann's principle and thermodynamic probability, among other topics. Succeeding chapters offer a case history of black radiation, examine quantum and classical statistics, and discuss methods of processing information and the origins of the canonical distribution. The text concludes with explorations of statistical equivalence, radiative and material phase transitions, and the kinetic foundations of Gauss's error law. Bibliographic notes complete each chapter.

In and Out of Equilibrium

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200636
Total Pages : 469 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis In and Out of Equilibrium by : Vladas Sidoravicius

Download or read book In and Out of Equilibrium written by Vladas Sidoravicius and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom were personally responsible for advances in the various subfields of probability. Graduate students and researchers in probability theory and math physics will find this book a useful reference.

Probability Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540533481
Total Pages : 154 pages
Book Rating : 4.5/5 (334 download)

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Book Synopsis Probability Theory by : I︠A︡kov Grigorʹevich Sinaĭ

Download or read book Probability Theory written by I︠A︡kov Grigorʹevich Sinaĭ and published by Springer Science & Business Media. This book was released on 1992 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an excellent introduction to probability theory for students who have some general experience from university-level mathematics, in particular, analysis. It would be suitable for reading in conjunction with a second or third year course in probability theory. Besides the standard material, the author has included sections on special topics, for example percolation and statistical mechanics, which are direct applications of the theory.

Mathematical Problems of Statistical Mechanics and Dyanamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400945922
Total Pages : 272 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Mathematical Problems of Statistical Mechanics and Dyanamics by : R.L. Dobrushin

Download or read book Mathematical Problems of Statistical Mechanics and Dyanamics written by R.L. Dobrushin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the It isn't that they can't see the solution. right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as 'experimental mathematics', 'CFD', 'completely integrable systems', 'chaos, synergetics and large-scale order', which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Probability Distributions in Quantum Statistical Mechanics

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Publisher : Springer
ISBN 13 : 3540396373
Total Pages : 126 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Probability Distributions in Quantum Statistical Mechanics by : Mark A. Kon

Download or read book Probability Distributions in Quantum Statistical Mechanics written by Mark A. Kon and published by Springer. This book was released on 2006-11-14 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Statistical Physics

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Publisher : Elsevier
ISBN 13 : 0080479235
Total Pages : 849 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Mathematical Statistical Physics by :

Download or read book Mathematical Statistical Physics written by and published by Elsevier. This book was released on 2006-06-27 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. Introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science Roadmap to the next decade of mathematical statistical mechanics Volume for reference years to come