Sojourns in Probability Theory and Statistical Physics - II

Sojourns in Probability Theory and Statistical Physics - II PDF Author: Vladas Sidoravicius
Publisher: Springer Nature
ISBN: 9811502986
Category : Mathematics
Languages : en
Pages : 261

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Book Description
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

Sojourns in Probability Theory and Statistical Physics - II PDF Author: Vladas Sidoravicius
Publisher: Springer Nature
ISBN: 9811502986
Category : Mathematics
Languages : en
Pages : 261

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Book Description
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 - I

Sojourns in Probability Theory and Statistical Physics - I PDF Author: Vladas Sidoravicius
Publisher: Springer Nature
ISBN: 9811502943
Category : Mathematics
Languages : en
Pages : 338

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Book Description
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 - III

Sojourns in Probability Theory and Statistical Physics - III PDF Author: Vladas Sidoravicius
Publisher: Springer Nature
ISBN: 9811503028
Category : Mathematics
Languages : en
Pages : 341

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Book Description
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 Statistical Physics in Two and More Dimensions

Probability and Statistical Physics in Two and More Dimensions PDF Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
ISBN: 0821868632
Category : Mathematics
Languages : en
Pages : 481

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Book Description
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.

The Concept of Probability in Statistical Physics

The Concept of Probability in Statistical Physics PDF Author: Y. M. Guttmann
Publisher: Cambridge University Press
ISBN: 0521621283
Category : Mathematics
Languages : en
Pages : 283

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Book Description
A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.

Selecta

Selecta PDF Author: Yakov G. Sinai
Publisher:
ISBN: 9781441962065
Category :
Languages : en
Pages : 538

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Book Description


Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation

Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation PDF Author: Erik Bates
Publisher: American Mathematical Society
ISBN: 1470467917
Category : Mathematics
Languages : en
Pages : 110

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Book Description
View the abstract.

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

On Dobrushin's Way. From Probability Theory to Statistical Physics PDF Author: Robert A. Minlos
Publisher: American Mathematical Soc.
ISBN: 9780821821503
Category : Mathematics
Languages : en
Pages : 260

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Book Description
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.

E.T. Jaynes

E.T. Jaynes PDF Author: Edwin T. Jaynes
Publisher: Springer Science & Business Media
ISBN: 9780792302131
Category : Mathematics
Languages : en
Pages : 468

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Book Description
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.

Selecta

Selecta PDF Author: Yakov G. Sinai
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 0

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Book Description