Ergodic Theory And Statistical Mechanics

Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann Jean Moulin Ollagnier anvd Statistical h/lechanics Spri nger-Verlag Berlin Heidelberg New York Tokyo Author Jean Moulin Ollagnier Departement de Mathematiques, Universite Paris Nord Avenue J. B, Clement, 93430 Villetaneuse, France AMS Subject Classification (1980): 20F, 28D, 54H20, 82A05, 82A25 ISBN 3-540-15192-3 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15192-3 Springer-Verlag New York Heidelberg Berlin Tokyo Th~s work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft WOW', Munich. © by Springer-Verlag Berlin Heidelberg 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210 CONTENTS INTRODUCTION .................................................... I. P R E L I M I N A R Y ANALYSIS I.I. Sublinear 1.2. Compact 1.3. Radon measures 1.4. Extremal 1.5. References 2. D Y N A M I C A L ........................................ functions convex and sets the H a h n - B a n a c h theorem ....... ................................... ........................................ points in c o m p a c t convex sets ................ ............................................ SYSTEMS AND AMENABLE