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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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | École d'Été de Probabilités de Saint-Flour
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | 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 positions over time. Starting with the simple case of Galton-Watson trees, the text primarily concentrates on exploiting, in various contexts, the spinal structure of branching random walks. The notes end with some applications to biased random walks on trees. |
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| Physical Description: | X, 133 p. 8 illus., 6 illus. in color online resource |
| ISBN: | 9783319253725 |