Cargando…

Random Times and Enlargements of Filtrations in a Brownian Setting

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mansuy, Roger (Autor), Yor, Marc (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Mathematics, 1873
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.