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Science/Engineering Penalising Brownian Paths

Posted on 2010-03-16




Name:Science/Engineering Penalising Brownian Paths
ASIN/ISBN:3540896988
Language:English
File size:2.2 Mb
Publish Date: 2009-03-25
ISBN: 3540896988
Pages: 275 pages
File Type: PDF
File Size: 2,2 MB
Other Info: Springer
   Science/Engineering Penalising Brownian Paths

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Bernard Roynette, Marc Yor, "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 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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