Branching Process (Galton-Watson Process)
Here are some simulations of branching trees and the Galton-Watson Process
(click on a picture to get a bigger version of it):
Here is some additional reading on random walks:
- A book
Probability on Trees and Networks
by Russell Lyons with Yuval Peres. Chapters 4 and 10 are
of particular interest.
- A nice recent
by Peter E. Ney and Anand N. Vidyashankar on the growth
of supercritical branching processes.
- A short proof of the
Kesten-Stigum theorem by
Russell Lyons, Robin Pemantle, and Yuval Peres.
- A paper
by Robin Pemantle, Yuval Peres comparing Galton-Watson trees
with deterministic trees.