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Penalising Brownian Paths

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  • © 2009

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1969)

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About this book

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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Table of contents (5 chapters)

Reviews

From the reviews: “In this book the authors give a systematic study of penalisation. The book is divided into 5 chapters. … This book is very useful for graduate students and researchers interested in learning penalisations.” (Ren Ming Song, Mathematical Reviews, Issue 2010 e)

Authors and Affiliations

  • Inst. Elie Cartan, Université Nancy I, Vandoeuvre-les-Nancy CX, France

    Bernard Roynette

  • Labo. Probabilités , Université Paris VI, Paris, France

    Marc Yor

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