Probability Seminar: Edwin Perkins
Topic
On the range of lattice models in high dimensions
Speakers
Details
We investigate the scaling limit of the range (the set of visited vertices) for a general class of critical lattice models, starting from a single initial particle at the origin. Conditions are given on the random sets and an associated ``ancestral relation" under which, conditional on long-term survival, the rescaled ranges converge weakly to the range of super-Brownian motion as random sets. These hypotheses also give precise asymptotics for the limiting behaviour of the probability of exiting a large ball. Applications include voter models, contact processes, oriented percolation and lattice trees. This is joint work with Mark Holmes and also features work of Akira Sakai and Gord Slade.
Additional Information
Location: ESB 1012
Edwin Perkins, UBC
Edwin Perkins, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
March 20, 2019
Time
-
Location