Creation or deletion of a drift on a Brownian trajectory

We show that a negative drift can be created on a Brownian trajectory by cutting excursions according to a certain Poisson measure. Conversely a negative drift can be annihilated by inserting independent excursions again according to a certain Poisson mea

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Catherine Donati-Martin Michel Émery Alain Rouault Christophe Stricker (Eds.)

Séminaire de Probabilités XLI

1934

1 23

Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris

1934

Catherine Donati-Martin · Michel Émery · Alain Rouault · Christophe Stricker (Eds.)

Séminaire de Probabilités XLI

ABC

Editors Catherine Donati-Martin

Alain Rouault

Laboratoire de Probabilités et Modèles Aléatoires Université Pierre et Marie Curie Boîte courrier 188 4, place Jussieu 75252 Paris cedex 05, France e-mail: [email protected]

Laboratoire de Mathématiques Bâtiment Fermat Université Versailles-Saint-Quentin 45, avenue des Etats-Unis 78035 Versailles cedex, France e-mail: [email protected]

Michel Émery

Christophe Stricker

Institut de Recherche Mathématique Avancée Université Louis Pasteur 7, rue René Descartes 67084 Strasbourg cedex, France e-mail: [email protected]

UFR Sciences et techniques Université de Besançon 16, route de Gray 25030 Besançon cedex, France e-mail: christophe.stricker@ univ-fcomte.fr

ISBN: 978-3-540-77912-4 DOI: 10.1007/978-3-540-77913-1

e-ISBN: 978-3-540-77913-1

Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2008921482 Mathematics Subject Classification (2000): 15A52, 60Gxx, 60Hxx, 60Jxx, 82B20, 91B28 c 2008 Springer-Verlag Berlin Heidelberg 

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Preface

As usual, some of the contributions to this 41st S´eminaire de Probabilit´es were exposed during the Journ´ees de Probabilit´es (held in Nancy in 2005 and in Luminy in 2006). The other ones come from spontaneous submissions or were solicited by the editors. We hope that the whole volume is a good sample of the main streams of current research on probability and stochastic processes, in particular those active in France. The last two volumes of the S´eminaire (vol. XXXIX, LNM 1874 and vol. XL, LNM 1899) have sustained long delays, ascribable to the editors and to the publisher. W