Branching Random Walks

Zhan Shi

ISBN 10: 3319253719 / ISBN 13: 9783319253718

Editore: Springer International Publishing, Springer International Publishing Feb 2016, 2016

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Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 148 pp. Englisch.

Codice articolo 9783319253718

Dati bibliografici

• Titolo: Branching Random Walks
• Editore: Springer International Publishing, Springer International Publishing Feb 2016
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 3319253719
• ISBN 13: 9783319253718
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

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.