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Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII – 2012: 2151 (Lecture Notes in Mathematics, 2151) - Softcover

Shi, Zhan

 
9783319253718: Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII – 2012: 2151 (Lecture Notes in Mathematics, 2151)

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.