Penalising Brownian Paths

Penalising a process is to modify its distribution with a limiting procedure, thus defining a new process whose properties differ somewhat from those of the original one. We are presenting a number of examples of such penalisations in the Brownian and Bessel processes framework. The Martingale theor...

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Bibliographic Details
Main Authors: Roynette, Bernard (Author), Yor, Marc (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
Series:Lecture Notes in Mathematics, 1969
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Some penalisations of theWiener measure
  • Feynman-Kac penalisations for Brownian motion
  • Penalisations of a Bessel process with dimension d(0 d 2) by a function of the ranked lengths of its excursions
  • A general principle and some questions about penalisations.