Penalising Brownian Paths

Description for Penalising Brownian Paths

Bernard Roynette, Marc Yor, "Penalising Brownian Paths"
Springer | 2009-03-25 | ISBN: 3540896988 | 275 pages | PDF | 2,2 MB
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 theory plays a crucial role. A general principle for penalisation emerges from these examples. In particular, it is shown in the Brownian framework that a positive sigma-finite measure takes a large class of penalisations into account.

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