Scientific Library of Tomsk State University

   E-catalog        

Image from Google Jackets
Normal view MARC view

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

By: Shi, Zhan [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in MathematicsPublication details: Cham : Springer International Publishing : Imprint: Springer, 2015Edition: 1st ed. 2015Description: X, 133 p. 8 illus., 6 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319253725Subject(s): mathematics | Probabilities | Mathematics | Probability Theory and Stochastic ProcessesDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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. .
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

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.

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. .

There are no comments on this title.

to post a comment.