Abstract:
The grass-bushes-trees process is a two-type contact process in which one type (the trees) can invade the other type (the bushes). We look to show which graph parameters lead to the possibility of coexistence versus the necessity of competitive displacement, i.e. joint metastability versus fast extinction of the bushes. Joint work with Daniel Valesin.
Biography:
Dr. John Fernley is a CRiSM Research Fellow at the University of Warwick, having previously held postdoctoral roles at ENS de Lyon and the Alfréd Rényi Institute of Mathematics, and completed his PhD at the University of Bath. His research focuses on interacting particle systems on large random graphs: opinion dynamics on both dynamic and static graphs, infections on both dynamic and static graphs, branching processes, random walk mixing, and dynamic queueing systems.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.