Probability in Banach Spaces, 9
The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993. A glance at the table
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Series Editors Thomas Liggett Charles Newman Loren Pitt
Probability in Banach Spaces, 9 J0rgen Hoffmann-J0rgensen James Kuelbs Michael B. Marcus Editors
Springer Science+Business Media, LLC
J0rgen Hoffmann-J0rgensen Mathematical Institute Aarhus University NY Munkegade DK-8000 Aarhus C Denmark
James Kuelbs Department of Mathematics University of Wisconsin Madison, WI53706 USA
Michael B. Marcus Department of Mathematics City College of New York New York, NY 10031 USA
Library of Congress Cataloging-in-Publication Data Probability in Banach spaces, 9 / Hoffmann- J0rgen$en, James Kuelbs, Michael B. Marcus. p. cm. ~ (Progress in probability : v. 35) "The 9th International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21,1993"--Pref. Includes bibliographical references. ISBN 978-1-4612-6682-2 ISBN 978-1-4612-0253-0 (eBook) DOI 10.1007/978-1-4612-0253-0 1. Probabilities-Congresses. 2. Banach spaces-Congresses. I. Hoffmann-J0rgensen, J0rgen. II. Kuelbs, James. III. Marcus, Michael B. IV. International Conference on Probability in Banach Spaces, nine. VI. Series: Progress in probability : 35. QA273.43.P774 1994 94-20469 519.2~dc20 CIP Printed on acid-free paper ]SP| © Springer Science+Business Media New York 1994 ^ Originally published by Birkhäuser Boston in 1994 Softcover reprint of the hardcover 1st edition 1994 Copyright is not claimed for works of U.S. Government employees. Allrightsreserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior permission of the copyright owner. Permission to photocopy for internal or personal use of specific clients is granted by Springer Science+Business Media, L L C for libraries and other users registered with the Copyright Clearance Center (CCC), provided that the base fee of $6.00 per copy, plus $0.20 per page is paid directly to CCC, 222 Rosewood Drive, Danvers, MA 01923, U.S.A. Special requests should be addressed directly to Springer Science+Business Media, L L C .
ISBN 978-1-4612-6682-2 Typeset by the authors in AMS-TeX.
987654321
Table of Contents Preface
vii
Random Series, Exponential Moments, and Martingales Convergence a.s. of rearranged random series in Banach space and associated inequalities Sergej Chobanyan ................. On the Rademacher series Pawel Hitczenko and Stanislaw Kwapien
3
. . . . . . . 31
On separability of families of reversed submartingales Goron Peskir . . . . . . . . . . . . . . .
. 37
Sharp exponential inequalities for the Martingales in the 2-smooth Banach spaces and applications to "scalarizing" decoupling losif Pinelis . . . . . . . . . . . . . . . . . . . . . . . 55
Strong Limit Theorems Random fractals generated by oscillations of processes with stationary and independent increments Paul Deheuvels and David M. Mason . . . . . . . . . . . . 73 Some generalized Martingales arising from the strong law of large numbers Bernard Heinkel . . . . . .
