03259nam 2200673 450 99646649910331620220821120409.01-280-62570-897866106257033-540-32416-X10.1007/11415558(CKB)1000000000232625(DE-He213)978-3-540-32416-4(SSID)ssj0000232540(PQKBManifestationID)11191016(PQKBTitleCode)TC0000232540(PQKBWorkID)10214306(PQKB)11569571(MiAaPQ)EBC3036429(MiAaPQ)EBC6819260(Au-PeEL)EBL6819260(OCoLC)1287136195(PPN)123128145(EXLCZ)99100000000023262520220821d2006 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierRandom times and enlargements of filtrations in a Brownian setting /Roger Mansuy, Marc Yor1st ed. 2006.Berlin ;New York, NY :Springer,[2006]©20061 online resource (XIII, 158 p.) Lecture Notes in Mathematics,0075-8434 ;1873University lectures.3-540-29407-4 Includes bibliographical references and index.Notation and Convention -- Stopping and Non-stopping Times -- On the Martingales which Vanish on the Set of Brownian Zeroes -- Predictable and Chaotic Representation Properties for Some Remarkable Martingales Including the Azéma and the Dunkl Martingales -- Unveiling the Brownian Path (or history) as the Level Rises -- Weak and Strong Brownian Filtrations -- Sketches of Solutions for the Exercises.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.Lecture Notes in Mathematics,0075-8434 ;1873Stochastic processesFilters (Mathematics)Brownian motion processesStochastic processes.Filters (Mathematics)Brownian motion processes.519.2/3Mansuy Roger472494Yor MarcSpringerLink (Online service)MiAaPQMiAaPQMiAaPQBOOK996466499103316Random times and enlargements of filtrations in a Brownian setting230570UNISA