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

• Κύριος συγγραφέας: Shi, Zhan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Lecture Notes in Mathematics, 2151
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.