Gordon Slade

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Gordon Slade

Gordon Douglas Slade (* 1955 in Toronto ) is a Canadian mathematician who studies probability theory.

Slade graduated from the University of Toronto with a bachelor's degree in 1977 and received his PhD in 1984 with Lon Rosen and Joel Feldman at the University of British Columbia . As a post-graduate student , he was a lecturer at the University of Virginia . From 1986 he was at McMaster University and since 1999 he has been a professor at the University of British Columbia.

He developed the technique of lace expansion (originally by David Brydges and Thomas C. Spencer introduced in 1985) with application to difficult problems of probability theory and statistical mechanics as the self-avoiding random walk (self Avoiding random walk) and their numerical list, random graphs, Percolation , branched polymers.

In 1989 he and Takashi Hara showed that the Aizenman- Newman triangle condition is valid in a sufficiently high dimension for critical percolation (often viewed as a model for phase transitions). Properties of the molecular field approximation (mean field theory) follow from this .

In 1991 he proved with the help of the lace expansion with T. Hara that the mean distance covered in Self Avoiding Random Walk increases in five or more dimensions with the square root of the number of steps as in simple random walk and that Brownian motion is in the scaling limit value.

In 1995 he received the Coxeter James Prize and in 2010 the CRM Fields PIMS Prize . In 2010 he became a Fellow of the Fields Institute , 2000, the Royal Society of Canada and in 2017 the Royal Society . He is a Fellow of the American Mathematical Society (2012) and the Institute of Mathematical Statistics . In 2003 he and Remco van der Hofstad received the Institute Henri Poincaré Prize . For 2018 he was awarded the Jeffery Williams Prize .

In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich (The critical behavior of random systems). He was co-author of the talk Renormalization group analysis of weakly self-avoiding walk in dimensions 4 and higher by David Brydges at the ICM 2010 in Hyderabad.

He was on the editorial board of the Canadian Journal of Mathematics.

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Individual evidence

  1. Hara, Slade The triangle condition for percolation , Bulletin AMS, Volume 21, 1989, pp. 269-273
  2. Hara, Slade Critical behavior of self-avoiding walk in five and more dimensions , Bulletin AMS, Volume 25, 1991, pp. 417-423
  3. Laudation, pdf