Skip to main content
  • Book
  • © 2006

Random Times and Enlargements of Filtrations in a Brownian Setting

Authors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1873)

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIII
  2. Notation and Convention

    • Roger Mansuy, Marc Yor
    Pages 1-39
  3. Stopping and Non-stopping Times

    • Roger Mansuy, Marc Yor
    Pages 41-51
  4. Weak and Strong Brownian Filtrations

    • Roger Mansuy, Marc Yor
    Pages 103-116
  5. Sketches of Solutions for the Exercises

    • Roger Mansuy, Marc Yor
    Pages 117-139
  6. Back Matter

    Pages 141-158

About this book

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.

Authors and Affiliations

  • Laboratoire de Probabilités et Modéles Aléatoires, Université Paris VI Pierre et Marie Curie, Paris Cedex 05

    Roger Mansuy, Marc Yor

Bibliographic Information

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access