Quantum Probability and Applications IV Proceedings of the Year of Q
This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allo
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1396 L. Accardi
W von Waldenfels (Eds.)
Quantum Probability and Applications IV Proceedings of the Year of Quantum Probability, held at the University of Rome II, Italy, 1987
---------------------Springer-Verlag Berlin HeidelbergNewYork London ParisTokyo Hong Kong
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann
1396 L. Accardi
W von Waldenfels (Eds.)
Quantum Probability and Applications IV Proceedings of the Year of Quantum Probability, held at the University of Rome II, Italy, 1987
---------------------Springer-Verlag Berlin HeidelbergNewYork London ParisTokyo Hong Kong
Editors
Luigi Accardi Dipartimento di Matematica, Universita di Roma II, Via Orazio Raimondo, 00173 Roma, Italy Wilhelm von Waldenfels Institut fur Angewandte Mathematik, Universitat Heidelberg 1m Neuenheimer Feld 294, 6900 Heidelberg, Federal Republic of Germany
Mathematics Subject Classification (1980): 46LXX, 47 DXX, 60 FXX, 60GXX, 60HXX, 60JXX, 81 K05, 81 L05, 82A 15 ISBN 3-540-51613-1 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-51613-1 Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1989 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140·543210 - Printed on acid-free paper
Introduction This volume, the fourth one of the quantum probability series, collecta part of the contributions to the Year of Quantum Probability organized by the Volterra Center at the University of Rome II, another part of these contributions having already appeared elsewhere. During this year an intensive communication took place among the researchers in this field and this allowed several open problems to be solved and several unexpected connections to arise. The realization of this plan was made possible by the contributions of the University of Rome II and the Direzione Generale per gli Scambi Culturali of the Italian Ministry of Public Instruction. We are glad to thank all the participants for their contribution to the present volume, to the success of the present enterprise, as well as to the general growth of quantum probability which, especially with the developements of the last years, is establishing itself as a crossroad between classical probability theory, quantum physics, functional analysis and pure algebra. Luigi Accardi Wilhelm von Waldenfels
TABLE OF CONTENTS L. ACCARDI, Cecchini's Transition Expectations and Markov Chains
1
L. ACCARDI, A. BACH, Central Limits of Squeezing Operators
