| Random Times and Enlargements of Filtrations in a Brownian Setting 2006 Edition Contributor(s): Mansuy, Roger (Author), Yor, Marc (Author) |
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ISBN: 3540294074 ISBN-13: 9783540294078 Publisher: Springer OUR PRICE: $47.45 Product Type: Paperback - Other Formats Published: December 2005 Annotation: 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 Az??ma-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. |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General |
| Dewey: 519.23 |
| LCCN: 2005934037 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.41" H x 6.38" W x 9.26" (0.61 lbs) 158 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 Az ma-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. |