Branching Random Walks : École d'Été de Probabilités de Saint-Flour XLII – 2012 /
Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these p...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | First edition 2015. |
| Series: | Lecture Notes in Mathematics ;
2151. |
| Subjects: | |
| Online Access: | Connect to this title online |
Table of Contents:
- I Introduction
- II Galton–Watson trees
- III Branching random walks and martingales
- IV The spinal decomposition theorem
- V Applications of the spinal decomposition theorem
- VI Branching random walks with selection
- VII Biased random walks on Galton–Watson trees
- A Sums of i.i.d. random variables
- References.