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

• Main Author: Shi, Zhan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Lecture Notes in Mathematics, 2151
• Subjects: Mathematics.; Probabilities.; Probability Theory and Stochastic Processes.

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...

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.