Education
Slade received in 1977 his bachelor"s degree from the University of Toronto and in 1984 his Doctor of Philosophy under Joel Feldman and Lon Rosen at the University of British Columbia.
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book
The Lace Expansion and its Applications: Ecole d'Et???? de Probabilit????s de Saint-Flour XXXIV - 2004 (Lecture Notes in Mathematics) by Gordon Slade (2010-06-02)
http://www.amazon.com/gp/product/B01JXUBRAE/?tag=2022091-20
The Lace Expansion and its Applications: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 (Lecture Notes in Mathematics)
( The lace expansion is a powerful and flexible method fo...)
The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models.
http://www.amazon.com/gp/product/3540311890/?tag=2022091-20
Gordon Slade
Edit ProfileCareer
As a postdoc he was a lecturer at the University of Virginia. From 1986 he was at McMaster University and since 1999 he is a professor at the University of British Columbia. He developed the technique of lace expansion (originally introduced by David Brydges and Thomas C Spencer in 1985) with applications to probability theory and statistical mechanics, such as self-avoiding random walks and their enumeration, random graphs, percolation theory, and branched polymers.
In 1989 Slade proved with Takashi Hara that the Aizenman–Newman triangle condition at critical percolation is valid in sufficiently high dimension.
The Hara–Slade result has important consequences in mean field theory. In 1991 Slade and Hara used the lace expansion to prove that the average distance covered in self-avoiding random walks in 5 or more dimension grows as the square root of the number of steps in a simple random walk and that the scaling limit is Brownian motion.
He became a Fellow in 2000 of the Royal Society of Canada, in 2010 of the Fields Institute, and in 2012 of the American Mathematical Society and of the Institute of Mathematical Statistics. Slade was an invited speaker in 1994 at the ICM in Zürich with lecture The critical behaviour of random systems
Achievements
Works
book
-
The Lace Expansion and its Applications: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 (Lecture Notes in Mathematics)
( The lace expansion is a powerful and flexible method fo...)
- The Lace Expansion and its Applications: Ecole d'Et???? de Probabilit????s de Saint-Flour XXXIV - 2004 (Lecture Notes in Mathematics) by Gordon Slade (2010-06-02)
-
The Lace Expansion and its Applications: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 (Lecture Notes in Mathematics)
Membership
American Mathematical Society. Royal Society of Canada.
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Born
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Nationality
Canada
Education
Awards
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Coxeter–James Prize; Communications Resource Management-Fields-PIMS prize
The Coxeter–James Prize is presented annually by the Canadian Mathematical Society.; The Communications Resource Management-Fields-PIMS Prize is a Canadian award in the mathematical sciences.The Coxeter–James Prize is presented annually by the Canadian Mathematical Society.; The Communications Resource Management-Fields-PIMS Prize is a Canadian award in the mathematical sciences.