Brownian Motion and its Applications to Mathematical Analysis : Ecole d'Ete de Probabilites de Saint-Flour XLIII - 2013 PDF
by Krzysztof Burdzy
Part of the Lecture Notes in Mathematics series
Description
These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical tool which can be used to prove theorems in "deterministic" fields of mathematics.
The notes include a brief review of Brownian motion and a section on probabilistic proofs of classical theorems in analysis. The bulk of the notes are devoted to recent (post-1990) applications of stochastic analysis to Neumann eigenfunctions, Neumann heat kernel and the heat equation in time-dependent domains.
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Download - Immediately Available
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:07/02/2014
- Category:
- ISBN:9783319043944
Other Formats
- Paperback / softback from £36.85
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:07/02/2014
- Category:
- ISBN:9783319043944
