Random times and enlargements of filtrations in a Brownian setting /

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Bibliographic Details
Author / Creator:Mansuy, Roger.
Imprint:Berlin ; New York : Springer, ©2006.
Description:1 online resource (xiii, 158 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1873
Lecture notes in mathematics (Springer-Verlag) ; 1873.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11068838
Hidden Bibliographic Details
Other authors / contributors:Yor, Marc.
ISBN:9783540324164
354032416X
3540294074
9783540294078
1280625708
9781280625701
Notes:Includes bibliographical references (pages 141-155) and index.
Print version record.
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.
Other form:Print version: Mansuy, Roger. Random times and enlargements of filtrations in a Brownian setting. Berlin ; New York : Springer, ©2006 9783540294078

MARC

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245 1 0 |a Random times and enlargements of filtrations in a Brownian setting /  |c Roger Mansuy, Marc Yor. 
260 |a Berlin ;  |a New York :  |b Springer,  |c ©2006. 
300 |a 1 online resource (xiii, 158 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent  |0 http://id.loc.gov/vocabulary/contentTypes/txt 
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490 1 |a Lecture notes in mathematics,  |x 0075-8434 ;  |v 1873 
504 |a Includes bibliographical references (pages 141-155) and index. 
505 0 |a Enlargements of filtrations -- Stopping and non-stopping times -- On the martingales which vanish on the set of Brownian zeroes -- PRP and CRP for some remarkable martingales -- Unveiling the Brownian path (or history) as the level rises -- Weak and strong Brownian filtrations -- Sketches of solutions for the exercises. 
588 0 |a Print version record. 
520 |a 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. 
650 0 |a Stochastic processes.  |0 http://id.loc.gov/authorities/subjects/sh85128181 
650 0 |a Filters (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85048251 
650 0 |a Brownian motion processes.  |0 http://id.loc.gov/authorities/subjects/sh85017265 
651 4 |a New York <NY, 2004> 
650 6 |a Processus stochastiques. 
650 6 |a Filtres (Mathématiques) 
650 6 |a Mouvement brownien, Processus de. 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x Stochastic Processes.  |2 bisacsh 
650 7 |a Brownian motion processes.  |2 fast  |0 (OCoLC)fst00839765 
650 7 |a Filters (Mathematics)  |2 fast  |0 (OCoLC)fst00924327 
650 7 |a Stochastic processes.  |2 fast  |0 (OCoLC)fst01133519 
650 1 7 |a Stoptijden (wiskunde)  |2 gtt 
650 1 7 |a Martingalen.  |2 gtt 
650 1 7 |a Brownse beweging.  |2 gtt 
650 7 |a Brownsche Bewegung  |2 gnd 
650 7 |a Stoppzeit  |2 gnd 
650 7 |a Martingal  |2 gnd 
650 7 |a Stochastischer Prozess  |2 gnd 
650 7 |a Mathematical Statistics.  |2 hilcc 
650 7 |a Mathematics.  |2 hilcc 
650 7 |a Physical Sciences & Mathematics.  |2 hilcc 
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700 1 |a Yor, Marc.  |0 http://id.loc.gov/authorities/names/n79028552  |1 http://viaf.org/viaf/2533846 
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