Aspects of Brownian motion
- Author
- Roger Mansuy, Marc Yor
- Publication Year
- 2008
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
- Download Book Read book
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.
Keywords: Mathematics and Statistics / Bessel process / Brownian functionals / Brownian motion / Martingale problems / Probability theory / Stochastic calculus / Local time / Stochastic analysis
