Dynamics and Processes Proceedings of the Third Encounter in Mathema

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1031 Dynamics and Processes Proceedings of the Third Encounter in Mathematics and Physics, held in Bielefeld, Germany Nov. 30 - Dec. 4, 1981

Edited by Ph. Blanchard and L. Streit

Springer-Verlag Berlin Heidelberg New York Tokyo 1983

Editors

Ph. Blanchard L. Streit Theoretische Physik Fakultat fUr Physik, Universitat Bielefeld 4800 Bielefeld 1, Federal Republic of Germany

AMS Subject Classifications (1980): 46 L, 58 F, 60 B, 70 F, 76, 81 C, 81 E, 83C ISBN 3-540-12705-4 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12705-4 Springer-Verlag New York Heidelberg Berlin Tokyo This 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 Wort", Munich.

© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210

Mathematicians as well as physicists have had to travel great distances and overcome amazing obstacles in order to gather once again for fruitful collaboration. Res Jost, Varenna 1968

We dedicate this volume to the wisdom and perseverance of our travel guide. Ph. Blanchard, L. Streit

I N T ROO U C T ION The present volume collects the Proceedings from the IIIrd session of the Bielefeld Encounters in Physics and Mathematics: "Quelques points de contact entre Mathematiques et Physique en Allemagne Federale et en France" that took place at the Center for Interdisciplinary Research (ZiF) of Bielefeld University November 30 to December 4,1981. It was in the tradition of the other Bielefeld Encounters in 1976,1978 and 1982 and as well in the tradition of a close French­German collaboration under the auspices of a treaty between the UER of Marseilles­Luminy and the Physics Department of Bielefeld University. This collaboration began when a large group of French mathematicians and physicists were in residence at the Center for Interdisciplinary Research in the academic year 1975­1976. At that time the CIRM (Centre International de Rencontres Mathematiques) of the French Mathematical Society was in an early planning stage, but already then there was the suggestion that CIRM and ZiF might serve as a "pair of homes" for French­German scientific exchange on the interdisciplinary interface between mathematics and physics. Very recently CIRM has indeed hosted the second meeting of this kind, and both sides hope that this marks the beginning of a tradition of exchange and collaboration. It was of great help to have the support of the French Embassy in Bonn, the DAAD, the Westfalisch­Lippische Universitatsgesellschaft and of Ministerprasident Dr. B. Vogel as Federal Coordinator of cultural relation in the framework of the treaty for French­German cultural cooperation.

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