Details

Autor(en) / Beteiligte

• Shi, Zhan

Titel

Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII - 2012

Auflage

1st ed. 2015

Ort / Verlag

Cham: Springer Nature

Erscheinungsjahr

2016

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.