Ebook: Spatial branching processes, random snakes, and partial differential equations
Author: Le Gall Jean-François
- Tags: Mathematics general
- Series: Lectures in mathematics ETH Zürich
- Year: 1999
- Publisher: Birkhäuser
- City: Boston, Basel
- Edition: 1999
- Language: English
- djvu
This book introduces several remarkable new probabilistic objects that combine spatial motion with a continuous branching phenomenon and are closely related to certain semilinear partial differential equations (PDE). The Brownian snake approach is used to give a powerful representation of superprocesses and also to investigate connections between superprocesses and PDEs. These are notable because almost every important probabilistic question corresponds to a significant analytic problem
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