Analysis and Probability Seminar

Title: Coexistence for Richardson type competing spatial growth models
Speaker: Professor Chris Hoffman
Speaker Info: University of Washington
Brief Description:
Special Note:

In the Richardson growth model the vertices in Z^d can take on three possible states 0,1, and 2. Vertices in states 1 and 2 remain in their states forever, while vertices in state 0 which are adjacent to a vertex in state 1 (or state 2) can switch to state 1 (or state 2). We think of the vertices in states 1 and 2 as infected with one of two infections while the vertices in state 0 are considered uninfected. We start the models with a single vertex in state 1 and a single vertex is in state 2. We show that with positive probability state 1 reaches an infinite number of vertices and state 2 also reaches an infinite number of vertices. The key tool is applying the ergodic theorem to stationary first passage percolation.
Date: Monday, February 13, 2006
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Elton P. Hsu
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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