Gordon Slade | PIMS - Pacific Institute for the Mathematical Sciences

University of British Columbia

Gordon Slade received his Ph.D. from the University of British Columbia, in Mathematics, in 1984. He is currently a professor in the Mathematics department at University of British Columbia. He was the 1995 Coxeter-James Lecturer of the Canadian Mathematical Society, and was one of five Canadian mathematicians invited to give addresses at the 1994 International Conference of Mathematicians in Zurich.

In joint work with T. Hara, he has given a rigorous proof of the long-standing conjecture that percolation (and also other important models in statistical physics) exhibit mean-field behaviour in high dimensions.

He was a member of the PIMS SRP from 1996-2001.

Personal Webpage: https://personal.math.ubc.ca/~slade/

Event Organizers Gordon Slade University of British Columbia Omer Angel University of British Columbia Louigi Addario-Berry McGill University Mathav Murugan University of British Columbia Course Descriptions Main course: Tom Hutchcroft Title...

We apply and extend the renormalisation group method developed by Bauerschmidt, Brydges and Slade to analyse near-critical finite-size scaling for the 4-dimensional n-component hierarchical |ϕ| 4 model, for all n=1,2,3,… In particular, we compute the...

Simple random walk is well understood. However, if we condition a random walk not to intersect itself, so that it is a self-avoiding walk, then it is much more difficult to analyze and many of the important mathematical problems remain unsolved. This...

The n-component phi^4 model is a ferromagnetic continuous-spin model with interesting critical behaviour. In particular, the one-component model is predicted to be in the same universality class as the Ising model. We study the n-component model on...

The sharpness of the percolation phase transition, which is a crucial and much cited element of the theory, was first proved independently by Menshikov in 1986 and by Aizenman and Barsky in 1987. On February 11, 2015, a remarkable new proof was...

The subject of critical phenomena in statistical mechanics is a rich source of interesting and difficult mathematical problems that touch on combinatorics, probability, and mathematical physics. Self-avoiding walks and lattice spin systems provide...

We consider a random walk on the complete graph. The walk experiences competing self-repulsion and self-attraction, as well as a variable length. Variation of the parameters governing the self-attraction and the variable length leads to a rich phase...