Probability Measures on Semigroups Convolution Products, Random Walk
Semigroups are very general structures and scientists often come across them in various contexts in science and engineering. In this second edition of Probability Measures on Semigroups, first published in the University Series in Mathematics in 1996, the
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Editors: J. Gani, C.C. Heyde, P. Jagers, T.G. Kurtz
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About the Authors: ˚ Akademi G¨oran H¨ogn¨as is Professor of Applied Mathematics at his alma mater Abo University, from which he received his Ph.D. in Mathematics in 1974. Professor H¨ogn¨as is the co-author of a text on applied mathematics as well as co-editor of the Proceedings of the Third Finnish-Soviet Syposium on Probability Theory and Mathematical Statistics. He serves on the editorial board of the Journal of Theoretical Probability. Professor H¨ogn¨as was the director of the Finnish Graduate School in Stochastics and Statistics (1998–2009). Arunava Mukherjea is Professor of Mathematics at the University of Texas–Pan American, and prior to 2007, was Professor at the University of South Florida. He received his Ph.D. in Mathematics in 1967 from Wayne State University. As visiting professor, he spent sojourns at various academic institutions including Tata Institute of Fundamental Research in Mumbai, India and Universite of Paul Sabatier in Toulouse, France. He was a Fulbright scholar. He is an associate editor (2005– present) of the Journal of Theoretical Probability, and was its editor-in-chief prior to 2005.
G¨oran H¨ogn¨as Arunava Mukherjea
Probability Measures on Semigroups Convolution Products, Random Walks, and Random Matrices
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Arunava Mukherjea University of Texas – Pan American Department of Mathematics 1201 West University Drive Edinburg, Texas 78539 USA [email protected]
G¨oran H¨ogn¨as ˚ Akademi University Abo F¨anriksgatan 3B ˚ 20500 Abo Finland [email protected]
Series Editors: Søren Asmussen Department of Mathematical Sciences Aarhus University Ny Munkegade 8000 Aarhus C Denmark [email protected]
Thomas G. Kurtz Department of Mathematics University of Wisconsin - Madison 480 Lincoln Drive Madison, WI 53706-1388 USA [email protected]
Joe Gani Centre for Mathematics and its Applications Mathematical Sciences Institute Australian National University Canberra, ACT 0200 Australia [email protected]
ISSN 1431-7028 ISBN 978-0-387-77547-0 DOI 10.1007/978-0-387-77548-7
Peter Jagers Mathematical Statistics Chalmers University of Technology and G¨oteborg (Gothenburg) University 412 96 G¨oteborg Sweden [email protected]
e-ISBN 978-0-387-77548-7
Library of Congress Control Number: 2010938438 c Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is
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