3 edition of **Entropy, large deviations, and statistical mechanics** found in the catalog.

Entropy, large deviations, and statistical mechanics

Ellis, Richard S.

- 237 Want to read
- 28 Currently reading

Published
**1985**
by Springer-Verlag in New York, N.Y
.

Written in English

- Large deviations.,
- Statistical mechanics.,
- Entropy.

**Edition Notes**

Statement | Richard S. Ellis. |

Series | Grundlehren der mathematischen Wissenschaften ;, 271 |

Classifications | |
---|---|

LC Classifications | QA273.67 .E45 1985 |

The Physical Object | |

Pagination | xiv, 364 p. ; |

Number of Pages | 364 |

ID Numbers | |

Open Library | OL2851560M |

LC Control Number | 84013891 |

The idea that statistical mechanics can be formulated in the language of large deviations has also been expressed in a number of review papers, including one by Oono [], two by Ellis [85, 86], and the seminal paper of Lanford [], which is considered to be the ﬁrst work on large deviations and statistical mechanics. Varadhan’s Large Deviation Principle is a highly efficient way of organizing such arguments which is attracting growing interest in the field of statistical not only furnishes new, clearer proofs of old results but it provides the means for solving Cited by: 3.

TWO BOOKS ON LARGE DEVIATIONS RICHARD S. ELLIS, Entropy, Large Deviations, and Statistical Mechanics, Springer, New York, , pages, $ D. W. STROOCK, An Introduction to the Theory of Large Deviations, Springer, New York, , pages, $ REVIEW BY PETER NEY University of Wisconsin Large deviation theory is a part of. Entropy and large deviation Definition 1. For a continuous function g:J-*l% and u in M(f) we define the pressure of u with respect to g by where h(u) denotes the entropy of u .

R. S. Ellis, An overview of the theory of large deviations and applications to statistical mechanics, Taylor & Francis | pdf R. S. Ellis, The theory of large deviations: From Boltzmann's calculation to equilibrium macrostates in 2D turbulence, This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter course.

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: Entropy, Large Deviations, and Statistical Mechanics (Classics in Mathematics) (): Ellis, Richard S.: BooksFormat: Paperback.

From the reviews: " Besides the fact that the author's treatment of large deviations is a nice contribution to the literature on the subject, his book has and statistical mechanics book virue that it provides a beautifully unified and mathematically appealing account of certain aspects of statistical mechanics.

Entropy,Large Deviations,and Statistical Mechanics Paperback – January 1, by AI LI SI (Richard ) (Author) See all formats and editions Hide other formats and editions. Price New from Used from Author: AI LI SI (Richard ). Besides the fact that the author's treatment of large deviations is and statistical mechanics book nice contribution to the literature on the subject, his book has the virue that it provides a beautifully unified and mathematically appealing account of certain aspects of statistical mechanics.

Furthermore, he does not make the mistake of assuming that his mathematical audience will be familiar. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems.

An elementary example is the weak law of large numbers. From the reviews: " Each chapter of the book is followed by a notes section and by a problems section.

There are over problems, many of which have hints. The book may be recommended as a text, it provides a completly self-contained reading " --S. Pogosian in Zentralblatt für Price: $ Ellis, Richard S.

Entropy, Large Deviations, and Statistical Mechanics (Classics in Mathematics) ISBN Entropy, Large Deviations, and Statistical Mechanics (Classics in Mathematics)4/5(1).

Entropy, Large Deviations, and Statistical Mechanics by Richard S. Ellis,available at Book Depository with free delivery worldwide.4/5(1). Entropy, Large Deviations, And Statistical Mechanics的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。.

Once you’re ready to look at the trees in more detail, turn to Ellis’ book Entropy, Large Deviations, and Statistical Mechanics.

Both are probability-agnostic as far as I can tell; what you see here is my own Bayesian spin. This book has two main topics: large deviations and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other.

Entropy, in its various guises, is their common core. Large Deviations and Statistical Mechanics: Introduction to Large Deviations.- Large Deviation Property and Asymptotics of Integrals.- Large Deviations and the Discrete Ideal Gas.- Ferromagnetic Models on Z.- Magnetic Models on Z D and on the Circle.

Convexity and Proofs of Large Deviation Theorems: Convex Functions and the Legendre-Fenchel. Additional Physical Format: Online version: Ellis, Richard S. (Richard Steven), Entropy, large deviations, and statistical mechanics.

New York, N.Y.: Springer. doing, I have succeeded in providing a readable treatment of statistical mechanics which is accessible to a general mathematical audience. My large deviation approach to statistical mechanics was inspired in part by the article ofO.

Lanford(). In recent years, the scope of large deviations has been greatly expanded. Get this from a library. Entropy, large deviations, and statistical mechanics. [Richard Steven Ellis]. This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics.

Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptual foundation provided by the Rigorous Results remains invaluable for the study of 5/5(1).

The large deviation approach to statistical mechanics Hugo Touchette School of Mathematical Sciences, Queen Mary, University of London Entropy, Large Deviations, and Statistical Mechanics Springer, New York, The large deviation approach to statistical mechanics Physics Reports, to appear in File Size: KB.

The theory of large deviations deals with the probabilities of rare events (or fluctuations) that are exponentially small as a function of some parameter, e.g., the number of random components of a system, the time over which a stochastic system is observed, the amplitude of the noise perturbing a dynamical system or the temperature of a chemical reaction.

The theory has Cited by: of results for Books: "Large deviations" Skip to main search results Amazon Prime.

Large Deviations and Applications (CBMS-NSF Regional Conference Series in Applied Mathematics, No. 46) Entropy, Large Deviations, and Statistical Mechanics (Grundlehren der mathematischen Wissenschaften) by R.S.

Ellis | Jun This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variational characterization and the phase transition of the Ising model, in a text intended for a one semester or quarter by:.

This paper will discuss a number of topics in the theory of large deviations and several applications to statistical mechanics, all united by the concept of relative entropy.

This concept entered human culture through the first large deviation calculation in science, carried out by Cited by: Cite this chapter as: Ellis R.S. () Introduction to Large Deviations.

In: Entropy, Large Deviations, and Statistical Mechanics. Grundlehren der mathematischen Wissenschaften (A Series of Comprehensive Studies in Mathematics), vol Author: Richard S.

Ellis.One purpose of the present chapter is to expand the scope of large deviations and to prepare the groundwork for applications to statistical mechanics later in the book.

1 This chapter extends the ideas of Chapter I by considering random Author: Richard S. Ellis.