The Concept of Probability in Statistical Physics

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Release : 1999-07-13
Genre : Mathematics
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Book Rating : 283/5 ( reviews)

The Concept of Probability in Statistical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Concept of Probability in Statistical Physics write by Y. M. Guttmann. This book was released on 1999-07-13. The Concept of Probability in Statistical Physics available in PDF, EPUB and Kindle. A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.

E.T. Jaynes

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Release : 1989-04-30
Genre : Mathematics
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Book Rating : 131/5 ( reviews)

E.T. Jaynes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook E.T. Jaynes write by Edwin T. Jaynes. This book was released on 1989-04-30. E.T. Jaynes available in PDF, EPUB and Kindle. 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.

Sojourns in Probability Theory and Statistical Physics - I

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Release : 2019-10-17
Genre : Mathematics
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Book Rating : 943/5 ( reviews)

Sojourns in Probability Theory and Statistical Physics - I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sojourns in Probability Theory and Statistical Physics - I write by Vladas Sidoravicius. This book was released on 2019-10-17. Sojourns in Probability Theory and Statistical Physics - I available in PDF, EPUB and Kindle. 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.

Probability and Statistics for Particle Physics

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Release : 2017-04-21
Genre : Science
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Book Rating : 386/5 ( reviews)

Probability and Statistics for Particle Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probability and Statistics for Particle Physics write by Carlos Maña. This book was released on 2017-04-21. Probability and Statistics for Particle Physics available in PDF, EPUB and Kindle. 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.

E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 818/5 ( reviews)

E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics write by R.D. Rosenkrantz. This book was released on 2012-12-06. E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics available in PDF, EPUB and Kindle. 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.