TY  - BOOK
AU  - Shi,Zhan
ED  - SpringerLink (Online service)
TI  - Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII – 2012 
T2  - École d'Été de Probabilités de Saint-Flour,
SN  - 9783319253725
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Probabilities
KW  - Probability Theory and Stochastic Processes
N1  - 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
N2  - 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.
UR  - https://doi.org/10.1007/978-3-319-25372-5
ER  -