By Zhan Shi

Providing an uncomplicated advent to branching random walks, the main target of those lecture notes is at the asymptotic homes of one-dimensional discrete-time supercritical branching random walks, and particularly, on severe positions in each one iteration, in addition to the evolution of those positions over the years.

Starting with the easy case of Galton-Watson timber, the textual content basically concentrates on exploiting, in a number of contexts, the spinal constitution of branching random walks. The notes finish with a few functions to biased random walks on trees.

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Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII – 2012 (Lecture Notes in Mathematics) by Zhan Shi

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