Et Jaynes Papers On Probability Statistics And Statistical Physics
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Author | : Edwin T. Jaynes |
Publisher | : Springer Science & Business Media |
Total Pages | : 468 |
Release | : 1989-04-30 |
Genre | : Mathematics |
ISBN | : 9780792302131 |
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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 | : Edwin T. Jaynes |
Publisher | : Springer |
Total Pages | : 480 |
Release | : 1983-01-31 |
Genre | : Mathematics |
ISBN | : |
Download E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics Book 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.
Author | : R.D. Rosenkrantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 457 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400965818 |
Download E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics Book 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.
Author | : |
Publisher | : Allied Publishers |
Total Pages | : 436 |
Release | : 2013 |
Genre | : |
ISBN | : 9788177644517 |
Download Probability Theory Book in PDF, Epub and Kindle
Probability theory
Author | : R. D. Rosenkrantz |
Publisher | : |
Total Pages | : 464 |
Release | : 1983-01-31 |
Genre | : |
ISBN | : 9789400965829 |
Download E. T. Jaynes Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download ET Jaynes, Papers on Probability, Statistics and Statistical Physics Book in PDF, Epub and Kindle
Author | : Edwin T. Jaynes |
Publisher | : |
Total Pages | : 284 |
Release | : 1993 |
Genre | : Science |
ISBN | : 9780521434713 |
Download Physics and Probability Book in PDF, Epub and Kindle
A collection of papers on the pioneering work of Edwin T. Jaynes in statistical physics, quantum optics and probability theory.
Author | : Vladas Sidoravicius |
Publisher | : Springer Nature |
Total Pages | : 261 |
Release | : 2019-10-17 |
Genre | : Mathematics |
ISBN | : 9811502986 |
Download Sojourns in Probability Theory and Statistical Physics - II Book 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.
Author | : Vladas Sidoravicius |
Publisher | : Springer Nature |
Total Pages | : 341 |
Release | : 2019-10-17 |
Genre | : Mathematics |
ISBN | : 9811503028 |
Download Sojourns in Probability Theory and Statistical Physics - III Book 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.
Author | : W. T. Grandy, Jr |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 2004-12-16 |
Genre | : Science |
ISBN | : 9780521617109 |
Download Physics and Probability Book in PDF, Epub and Kindle
The pioneering work of Edwin T. Jaynes in the field of statistical physics, quantum optics, and probability theory has had a significant and lasting effect on the study of many physical problems, ranging from fundamental theoretical questions through to practical applications such as optical image restoration. Physics and Probability is a collection of papers in these areas by some of his many colleagues and former students, based largely on lectures given at a symposium celebrating Jaynes' contributions, on the occasion of his seventieth birthday and retirement as Wayman Crow Professor of Physics at Washington University. The collection contains several authoritative overviews of current research on maximum entropy and quantum optics, where Jaynes' work has been particularly influential, as well as reports on a number of related topics. In the concluding paper, Jaynes looks back over his career, and gives encouragement and sound advice to young scientists. All those engaged in research on any of the topics discussed in these papers will find this a useful and fascinating collection, and a fitting tribute to an outstanding and innovative scientist.