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The
Centre de recherches mathématiques and the Fields Institute
are pleased to announce joint winners of the 2003 CRM-Fields Prize:
John McKay of Concordia University and Edwin Perkins of the University
of British Columbia.
Abstracts
March 8, 2004 - 3:00 p.m.
John McKay (Concordia)
196884 = 1 + 196883 - A monstrous tale
I shall describe some of the astonishingly fertile mathematics
deriving from the above observation.
November 5, 2003 - 3:00 pm
Edwin Perkins (UBC)
Super-Brownian Motion, Critical Spatial Stochastic Systems
and Measure-Valued Diffusions
Brownian motion arises as a universal limiting object for small
centralized fluctuations. In the same way super-Brownian motion
arises as a universal limiting object for nonnegative spatial
stochastic systems near criticality. The list of stochastic systems
which approach super-Brownian motion under rescaling includes
distributions of genotypes undergoing random genetic drift and
mutation, stochastic models for epidemic spread (contact processes),
competing species models in mathematical ecology (including the
voter model), and percolation models at criticality and in sufficiently
high dimensions. Some of these connections will be presented and
discussed. Time permitting, we will also describe some of the
ideas which have been used in the study of interactive systems
which locally behave as super-Brownian motion.
Back to main 2003 CRM-Fields Prize Page
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