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Published in:
Contributions of Alladi Ramakrishnan to the Mathematical Sciences Read chapter Read first chapter

2010 | OriginalPaper | Chapter

Branching Random Walks

Author : K. B. Athreya

Published in: The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Publisher: Springer New York

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Summary

A branching random walk is a branching tree such that with each line of descent a random walk is associated. This paper provides some results on the asymptotics of the point processes generated by the positions of the nth generation individuals. An application to the photon–electron energy cascade is also given.

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previous chapter Proof of a Conjecture of Alladi Ramakrishnan on Circulants
next chapter A Commentary on the Logistic Distribution
Literature
1.
Athreya, K. B. and Ney, P. (2000) Branching Processes, Dover, Minolta, NY.
2.
Athreya, K. B. (2006) On the last common ancestor problem in branching processes, unpublished.
3.
Athreya, K. B. (2009) Applications of size biasing in branching processes, Int. Symp. on Probability Theory & Stochastic processes, Cochin University, India, Feb 2009.
4.
Athreya, K. B. and Lahiri, B. P. (2006) Measure Theory and Probability Theory, Springer, NY.
5.
Feller, W. (1968) An Introduction of Probability Theory and Its Applications, Wiley, NY.
6.
7.
Athreya, K. B. and Jagers, P. (1997) Classical and Modern Branching Processes, Springer, NY.MATHCrossRef
8.
Jagers, P. (1975) Branching Processes with Biological Applications, Wiley, London.MATH
9.
Mode, C. (1971) Multi-type Branching Processes – Theory and Applications, Elsevier, NY.
Metadata
Title
Branching Random Walks
Author
K. B. Athreya
Copyright Year
2010
Publisher
Springer New York
Book
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Print ISBN: 978-1-4419-6262-1

Electronic ISBN: 978-1-4419-6263-8

Copyright Year: 2010

DOI
https://doi.org/10.1007/978-1-4419-6263-8_20

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