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Penalising Brownian Paths.pdf

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文档介绍:Lecture Notes in Mathematics 1969
Editors:
J.-M. Morel, Cachan
F. Takens, Groningen
B. Teissier, Paris
Bernard te · Marc Yor
Penalising Brownian Paths
ABC
Bernard te Marc Yor
Université Nancy I Université Paris VI
Institut Elie Cartan Laboratoire de Probabilités
Faculté des Sciences 175 rue de Chevaleret
Département de Mathématiques 75013 Paris
. 239 France
54506 Vandoeuvre-les-Nancy CX
France
******@.u-
ISBN: 978-3-540-89698-2 e-ISBN: 978-3-540-89699-9
DOI: -3-540-89699-9
Lecture Notes in Mathematics ISSN print edition: 0075-8434
ISSN electronic edition: 1617-9692
Library of Congress Control Number: 2008942371
Mathematics Subject Classification (2000): 60J65, 60F99, 60J25, 60G44, 60G30, 60J55
c 2009 Springer-Verlag 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, reuse of illustrations, recitation, broadcasting,
reproduction on microfilm 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. Violations
are liable to prosecution under the German Copyright Law.
The use of general descriptive names, registered names, trademarks, etc. in this publication does not
imply, even in the absence of a specific statement, that such names are exempt from the relevant protective
laws and regulations and therefore free for general use.
Cover design: SPi Publishing Services
Printed on acid-free paper
987654321
Contents
0 Introduction .............................................. 1
The Penalisation Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Asymptotic Study of the Normalisation Factor . . . . . . . . . . . . . . . . . 3
From the