Franklin

Branching Random Walks [electronic resource] : École d'Été de Probabilités de Saint-Flour XLII -- 2012 / by Zhan Shi.

Author/Creator:
Shi, Zhan. author.
Publication:
Cham : Springer International Publishing : Imprint: Springer, 2015.
Format/Description:
Book
1 online resource.
Edition:
1st ed. 2015.
Series:
Lecture Notes in Mathematics, 0075-8434 ; 2151
Lecture Notes in Mathematics, 0075-8434 ; 2151
Contained In:
Springer eBooks
Status/Location:
Loading...

Options
Location Notes Your Loan Policy

Details

Subjects:
Mathematics.
Probabilities.
Local subjects:
Mathematics. (search)
Probability Theory and Stochastic Processes. (search)
System Details:
Mode of Access: World Wide Web.
text file PDF
Summary:
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. .
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.
Contributor:
SpringerLink (Online service)
Other format:
Printed edition:
ISBN:
9783319253725
Publisher Number:
10.1007/978-3-319-25372-5 doi
Access Restriction:
Restricted for use by site license.