Spatial Branching Processes, Random Snakes and Partial Differential Equations |
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| Author:
| Le Gall, J. F. |
| Series title: | Lectures in Mathematics. ETH Zürich Ser. |
| ISBN: | 978-3-7643-6126-6 |
| Publication Date: | Jul 1999 |
| Publisher: | Springer Basel AG
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| Book Format: | Paperback |
| List Price: | USD $99.99USD $54.99 |
Book Description:
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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.
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.