Classics in Mathematics

Entropy, Large Deviations, and Statistical Mechanics

Authors: Ellis, Richard

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About this book

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

About the authors

Richard S. Ellis received his B.A. degree in mathematics and German literature from Harvard University in 1969 and his Ph.D. degree in mathematics from New York University in 1972. After spending three years at Northwestern University, he moved to the University of Massachusetts, Amherst, where he is a Professor in the Department of Mathematics and Statistics and Adjunct Professor in the Department of Judaic and Near Eastern Studies. His research interests in mathematics focus on the theory of large deviations and on applications to statistical mechanics and other areas. Information on his interests outside mathematics is available at http://www.math.umass.edu/~rsellis. He is Alison’s husband and Melissa’s and Michael’s father.

Table of contents (9 chapters)

  • Introduction to Large Deviations

    Ellis, Richard S.

    Pages 3-29

  • Large Deviation Property and Asymptotics of Integrals

    Ellis, Richard S.

    Pages 30-58

  • Large Deviations and the Discrete Ideal Gas

    Ellis, Richard S.

    Pages 59-87

  • Ferromagnetic Models on ℤ

    Ellis, Richard S.

    Pages 88-137

  • Magnetic Models on ℤD and on the Circle

    Ellis, Richard S.

    Pages 138-207

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-29060-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-540-29059-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Entropy, Large Deviations, and Statistical Mechanics
Authors
Series Title
Classics in Mathematics
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-29060-5
DOI
10.1007/3-540-29060-5
Softcover ISBN
978-3-540-29059-9
Series ISSN
1431-0821
Edition Number
1
Number of Pages
XVIII, 367
Additional Information
Reprint
Topics