Entropy, Large Deviations, and Statistical Mechanics

2006
ISBN: 978-3-540-29059-9
Verlag: Springer

Buch, Englisch, 367 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1200 g

Reihe: Classics in Mathematics

From the reviews: "... 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

Zielgruppe

Research

Autoren/Hrsg.

Ellis, Richard S.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik

Inhaltsverzeichnis

Large Deviations and Statistical Mechanics.- to Large Deviations.- Large Deviation Property and Asymptotics of Integrals.- Large Deviations and the Discrete Ideal Gas.- Ferromagnetic Models on ?.- Magnetic Models on ?D 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.

Über Autor(innen)

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.