Spring 2006: Superprocesses
Topics:
Galton-Watson processes and continuous state branching processes
Superprocesses
Discrete and continuous random trees
Snakes
Random mass distributions; random graphs.
References:
"Spatial Branching processes, Random Snakes and PDEs", J-F. Le Gall,
ETH lecture notes
"Diffusions, superdiffusions and partial differential equations", E.
Dynkin, AMS, available at author's website
"Random trees and applications", J-F. Le Gall, Probability surveys, survey
"Random trees and spatial branching processes", J-F. Le Gall, Maphysto
lecture notes, survey
"Scaling limits and Super-Brownian motion", Gordon Slade, Notices AMS, article