Ergodic Theory and Related Topics III Proceedings of the Internation
The purpose of the conference was to represent recent developments in measure theoretic, differentiable and topological dynamical systems as well as connections to probability theory, stochastic processes, operator theory and statistical physics. Only ori
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1514
U. Krengel
K. Richter V. Warstat (Eds.)
Ergodic Theory and Related Topics III Proceedings of the International Conference held in Giistrow, Germany, October 22-27, 1990
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Editors Ulrich Krengel Institut fur Mathematische Stochastik Universitat Gottingen Lotzestr. 13, W-3400 Gottingen, Germany Karin Richter Volker Warstat Martin Luther Universitat Halle- Wittemberg Fachbereich fiir Mathematik und Informatik Postfach, 0-4010 Halle, Germany
Mathematics Subject Classification (1980): 28D05, 34C35, 58F03, 58Fll, 60GlO
ISBN 3-540-55444-0 Springer-Verlag Berlin Heidelberg New York ISBN 0-387 -55444-0 Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1992 Printed in Germany Typesetting: Camera ready by author/editor Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 46/3140-543210 - Printed on acid-free paper
Introduction
In the eighties, Horst Michel organized two conferences "Ergodic theory and Related Topics I and II" held in 1981 at Vitte (Hiddensee), GDR and in 1986 at Georgenthal (Thuringia), GDR. These conferences succeeded in bringing scientists from the East and the West together. Ergodic theorists from Austria, CSSR, France, FRG, GDR, Great Britain, Greece, Japan, the Netherlands, Poland. USA. USSR. and Vietnam discussed their recent results in measuretheoretic and topological dynamical systems as well as connections to other fields. A third conference was in the planning when Horst Michel, his wife Jutta, his younger daughter Kathrin and his mother died in a tragic car accident in December 1987. His colleaguee all over the world lost a good friend. Horst Michel was born ina little town in Thuringia. He studied mathematics at the University of Leipzig. As an assistant at the Technical College Ilmenau and at the University of Halle, he worked on iteration groups of real valued functions using methods of functional analysis. His thesis (1961) dealt with "Continuous and monotone iteration groups of nondiflerentiable real valued functions". He then turned to the study of measure theoretical properties and of the classification of special groups of measure preserving transformations. Stimulated by articles of K. Jacobs, H. Furstenberg, and W. Parry, he explored the class of totally ergodic dynamical systems with quasidiscrete spectrum, in particular their embeddability into a flow. After 1970, he
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