Title: Random Times and Enlargements of Filtrations in a Brownian Setting (Lecture Notes in Mathematics, 1873)
Publisher: Springer
Publication Date: 2005
Language: English
ISBN 10: 3540294074
ISBN 13: 9783540294078
Binding: Soft cover
Condition: Good

About this title

Synopsis

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.

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