Aspects of Brownian Motion / Universitext (PDF)
Stochastic calculus and excursion theory are very efficient tools to obtain either exact or asymptotic results about Brownian motion and related processes. The emphasis of this book is on special classes of such Brownian functionals as:
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Stochastic calculus and excursion theory are very efficient tools to obtain either exact or asymptotic results about Brownian motion and related processes. The emphasis of this book is on special classes of such Brownian functionals as:
- Gaussian subspaces of the Gaussian space of Brownian motion;
- Brownian quadratic funtionals;
- Brownian local times,
- Exponential functionals of Brownian motion with drift;
- Winding number of one or several Brownian motions around one or several points or a straight line, or curves;
- Time spent by Brownian motion below a multiple of its one-sided supremum.
Besides its obvious audience of students and lecturers the book also addresses the interests of researchers from core probability theory out to applied fields such as polymer physics and mathematical finance.
ROGER MANSUY has been teaching mathematics at the Lycée Louis le Grand, Paris, since 2006. He has been working with Marc Yor - who was the supervisor of Roger Mansuy's PhD thesis - in recent years. Prior to the present volume he and Marc Yor collaborated in publishing volume 1873 of the series Lecture Notes in Mathematics entitled "Random Times and Enlargements of Filtration in a Brownian setting".
- Autoren: Roger Mansuy , Marc Yor
- 2008, 2008, 200 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3540499660
- ISBN-13: 9783540499664
- Erscheinungsdatum: 16.09.2008
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Größe: 1.73 MB
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