SCIENTIFIC PROGRAMS AND ACTIVITIES

November  1, 2014

2003 CRM-Fields Prize Winners
John McKay
and Edwin Perkins

Lectures
John McKay - March 8, 2004 - 3:00 p.m.

Edwin Perkins - November 5, 2003 - 3:00 p.m.

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.

 

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