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Author : Y. M. Guttmann
Release : 1999-07-13
Genre : Mathematics
Kind : eBook
Book Rating : 283/5 ( reviews)
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. This book was released on 1999-07-13. Available in PDF, EPUB and Kindle. Book excerpt: A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.
Author : Edwin T. Jaynes
Release : 1989-04-30
Genre : Mathematics
Kind : eBook
Book Rating : 131/5 ( reviews)
Book Synopsis E.T. Jaynes by : Edwin T. Jaynes
Download or read book E.T. Jaynes written by Edwin T. Jaynes. This book was released on 1989-04-30. Available in PDF, EPUB and Kindle. Book excerpt: The first six chapters of this volume present the author's 'predictive' or information theoretic' approach to statistical mechanics, in which the basic probability distributions over microstates are obtained as distributions of maximum entropy (Le. , as distributions that are most non-committal with regard to missing information among all those satisfying the macroscopically given constraints). There is then no need to make additional assumptions of ergodicity or metric transitivity; the theory proceeds entirely by inference from macroscopic measurements and the underlying dynamical assumptions. Moreover, the method of maximizing the entropy is completely general and applies, in particular, to irreversible processes as well as to reversible ones. The next three chapters provide a broader framework - at once Bayesian and objective - for maximum entropy inference. The basic principles of inference, including the usual axioms of probability, are seen to rest on nothing more than requirements of consistency, above all, the requirement that in two problems where we have the same information we must assign the same probabilities. Thus, statistical mechanics is viewed as a branch of a general theory of inference, and the latter as an extension of the ordinary logic of consistency. Those who are familiar with the literature of statistics and statistical mechanics will recognize in both of these steps a genuine 'scientific revolution' - a complete reversal of earlier conceptions - and one of no small significance.
Author : Vladas Sidoravicius
Release : 2019-10-17
Genre : Mathematics
Kind : eBook
Book Rating : 943/5 ( reviews)
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. This book was released on 2019-10-17. 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.
Author : Carlos Maña
Release : 2017-04-21
Genre : Science
Kind : eBook
Book Rating : 386/5 ( reviews)
Book Synopsis Probability and Statistics for Particle Physics by : Carlos Maña
Download or read book Probability and Statistics for Particle Physics written by Carlos Maña. This book was released on 2017-04-21. Available in PDF, EPUB and Kindle. Book excerpt: This book comprehensively presents the basic concepts of probability and Bayesian inference with sufficient generality to make them applicable to current problems in scientific research. The first chapter provides the fundamentals of probability theory that are essential for the analysis of random phenomena. The second chapter includes a full and pragmatic review of the Bayesian methods that constitute a natural and coherent framework with enough freedom to analyze all the information available from experimental data in a conceptually simple manner. The third chapter presents the basic Monte Carlo techniques used in scientific research, allowing a large variety of problems to be handled difficult to tackle by other procedures. The author also introduces a basic algorithm, which enables readers to simulate samples from simple distribution, and describes useful cases for researchers in particle physics.The final chapter is devoted to the basic ideas of Information Theory, which are important in the Bayesian methodology. This highly readable book is appropriate for graduate-level courses, while at the same time being useful for scientific researches in general and for physicists in particular since most of the examples are from the field of Particle Physics.
Author : Yemima Ben-Menahem
Release : 2012-01-25
Genre : Science
Kind : eBook
Book Rating : 286/5 ( reviews)
Book Synopsis Probability in Physics by : Yemima Ben-Menahem
Download or read book Probability in Physics written by Yemima Ben-Menahem. This book was released on 2012-01-25. Available in PDF, EPUB and Kindle. Book excerpt: What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.
