Sojourns In Probability Theory And Statistical Physics I

Author : Vladas Sidoravicius
Publisher : Springer Nature
Page : 338 pages
File Size : 49,7 Mb
Release : 2019-10-17
Category : Mathematics
ISBN : 9789811502941

Get Book

Sojourns in Probability Theory and Statistical Physics - I by Vladas Sidoravicius Pdf

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
Page : 341 pages
File Size : 41,5 Mb
Release : 2019-10-17
Category : Mathematics
ISBN : 9789811503023

Get Book

Sojourns in Probability Theory and Statistical Physics - III by Vladas Sidoravicius Pdf

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
Page : 261 pages
File Size : 51,9 Mb
Release : 2019-10-17
Category : Mathematics
ISBN : 9789811502989

Get Book

Sojourns in Probability Theory and Statistical Physics - II by Vladas Sidoravicius Pdf

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 : Y. M. Guttmann
Publisher : Cambridge University Press
Page : 283 pages
File Size : 53,9 Mb
Release : 1999-07-13
Category : Mathematics
ISBN : 9780521621281

Get Book

The Concept of Probability in Statistical Physics by Y. M. Guttmann Pdf

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

Author : Edwin T. Jaynes
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 49,9 Mb
Release : 1989-04-30
Category : Mathematics
ISBN : 0792302133

Get Book

E.T. Jaynes by Edwin T. Jaynes Pdf

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 : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
Page : 481 pages
File Size : 48,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821868638

Get Book

Probability and Statistical Physics in Two and More Dimensions by Clay Mathematics Institute. Summer School Pdf

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.

Author : G.R. Grimmett
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 55,8 Mb
Release : 1994-01-31
Category : Mathematics
ISBN : 0792327209

Get Book

Probability and Phase Transition by G.R. Grimmett Pdf

This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

Author : Mark A. Kon
Publisher : Springer
Page : 126 pages
File Size : 49,6 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540396376

Get Book

Probability Distributions in Quantum Statistical Mechanics by Mark A. Kon Pdf

Author : Anonim
Publisher : Unknown
Page : 243 pages
File Size : 44,7 Mb
Release : 2000
Category : Electronic books
ISBN : 1470434091

Get Book

On Dobrushin's Way by Anonim Pdf

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.

Author : I︠A︡kov Grigorʹevich Sinaĭ
Publisher : Springer Science & Business Media
Page : 154 pages
File Size : 51,7 Mb
Release : 1992
Category : Mathematics
ISBN : 3540533486

Get Book

Probability Theory by I︠A︡kov Grigorʹevich Sinaĭ Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 1955
Category : Group theory
ISBN : 0821821504

Get Book

American Mathematical Society Translations by Anonim Pdf

Author : Harry Kesten
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 52,5 Mb
Release : 2004
Category : Mathematics
ISBN : 3540008454

Get Book

Probability on Discrete Structures by Harry Kesten Pdf

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.

Author : Andy Lawrence
Publisher : Unknown
Page : 128 pages
File Size : 40,7 Mb
Release : 2019
Category : Mathematical physics
ISBN : 3030045439

Get Book

Probability in Physics by Andy Lawrence Pdf

This textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified manner. The book also presents a harmonised view of frequentist and Bayesian approaches to inference, emphasising their complementary value. The aim is to steer a middle course between the "cookbook" style and an overly dry mathematical statistics style. The treatment is driven by real physics examples throughout, but developed with a level of mathematical clarity and rigour appropriate to mid-career physics undergraduates. Exercises and solutions are included.

Author : Yakov G. Sinai
Publisher : Unknown
Page : 538 pages
File Size : 44,9 Mb
Release : 2011-03-30
Category : Electronic
ISBN : 1441962069

Get Book

Selecta by Yakov G. Sinai Pdf

Author : Edwin T. Jaynes,Walter T. Grandy,P. W. Milonni
Publisher : Cambridge University Press
Page : 296 pages
File Size : 52,9 Mb
Release : 1993-09-02
Category : Mathematics
ISBN : 9780521434713

Get Book

Physics and Probability by Edwin T. Jaynes,Walter T. Grandy,P. W. Milonni Pdf

A collection of papers on the pioneering work of Edwin T. Jaynes in statistical physics, quantum optics and probability theory.