Random times and enlargements of filtrations in a Brownian setting

In November 2004, M. Yor and R. Mansuy jointly gave six lectures at Columbia University, New York. These notes follow the contents of that course, covering expansion of filtration formulae; BDG inequalities up to any random time; martingales that vanish on the zero set of Brownian motion; the Azéma-...

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Bibliographic Details
Main Authors: Mansuy, Roger, 1977-...., mathématicien, Yor, Marc, 1949-2014, mathématicien (Author)
Format: Livre numérique
Language:Anglais
Published: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edition:1st ed. 2006.
Series:Lecture Notes in Mathematics 1873
Subjects:
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Note: Description d'après consultation du 10 janvier 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Random times and enlargements of filtrations in a Brownian setting, Roger Mansuy, Marc Yor, 2006, Berlin, Springer, 1 vol. (XIII-158 p.), Lecture notes in mathematics, 3-540-29407-4
• Random Times and Enlargements of Filtrations in a Brownian Setting, Texte imprimé, 9783540816805
• Random times and enlargements of filtrations in a Brownian setting, Roger Mansuy, Marc Yor, 2006, Berlin, Springer, 1 vol. (XIII-158 p.), Lecture notes in mathematics, 3-540-29407-4
Description
Summary:In November 2004, M. Yor and R. Mansuy jointly gave six lectures at Columbia University, New York. These notes follow the contents of that course, covering expansion of filtration formulae; BDG inequalities up to any random time; martingales that vanish on the zero set of Brownian motion; the Azéma-Emery martingales and chaos representation; the filtration of truncated Brownian motion; attempts to characterize the Brownian filtration. The book accordingly sets out to acquaint its readers with the theory and main examples of enlargements of filtrations, of either the initial or the progressive kind. It is accessible to researchers and graduate students working in stochastic calculus and excursion theory, and more broadly to mathematicians acquainted with the basics of Brownian motion.
Item Description:Description d'après consultation du 10 janvier 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliography:Bibliogr. p. 141-155. Index
ISBN:9783540324164
ISSN:1617-9692
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