Entropy, Large Deviations, and Statistical Mechanics. Classics in Mathematics

Seitenzahl:

364

Gewicht:

585 g

Auflage:

Reprint of the 1st ed. Springer-Verlag New York 1985.

Erschienen bei:

Springer

Beschreibung

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 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 with the physics and has done an admireable job of explaining the necessary physical background. Finally, it is clear that the author's book is the product of many painstaking hours of work; and the reviewer is confident that its readers will benefit from his efforts." D. Stroock in Mathematical Reviews 1985
"... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 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 Mathematik 1986

Kurzbeschreibung

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 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 with the physics and has done an admireable job of explaining the necessary physical background. Finally, it is clear that the author's book is the product of many painstaking hours of work; and the reviewer is confident that its readers will benefit from his efforts." D. Stroock in Mathematical Reviews 1985
"... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 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 Mathematik 1986 TOC: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 ZD and on the Circle. Convexity and Proofs of Large Deviation Theorems: Convex Functions and the Legendre-Fenchel Transform.- Large Deviations for Random Vectors.- Level-2 Large Deviations for I.I.D. Random Vectors.- Level-3 Large Deviations for I.I.D. Random Vectors. Appendices: Probability.- Proofs to Two Theorems in Section II.7.- Equivalent Notions of Infinite-Volume Measures for Spin Systems.- Existence of the Specific Gibbs Free Energy.

Portrait

Richard Ellis ist nicht nur einer der wichtigsten Meeresforscher unserer Zeit, sondern auch ein berühmter Maler mariner Themen. Er hat zahlreiche Aufsätze und Bücher über die Ozeane und ihre Bewohner veröffentlicht. Richard Ellis lebt in New York und ist wissenschaftlicher Mitarbeiter im Museum of Natural History.

Mehr über...

Mehr über:  Entropie, Large deviations, stochastic systems, statistical mechanics, convergence properties, Science / Physics, Mathematics / Probability & Statistics / General

Mehr von: 

Mehr von:  Richard Ellis, Springer-Verlag GmbH