Dr. Gordon Slade
Fellow
Current Employer
The University of British Columbia
Election Year
2000
Academy
Académie des sciences
Discipline
Mathematics and Computer Sciences
Department
Department of Mathematics
Keywords
Critical phenomena, lace expansion, percolation, self-avoiding walk, super-brownian motion
Gordon Slade is the world's leading expert in the use of the lace expansion. With Takashi Hara, he has used this technique to solve a series of difficult and important problems in statistical mechanics. He has proved "mean field" behaviour of the self-avoiding random walk above the critical dimension of 4, and of percolation in sufficiently high dimensions. Working with his student Eric Derbez, Slade has also connected two quite distinct areas of probability by proving that, above the critical dimension of 8, lattice trees converge to the integrated super-Brownian excursion.