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Gordon Douglas Slade (born 1955 in Toronto) is a Canadian mathematician, specializing in probability theory. Slade received in 1977 his bachelor's degree from the University of Toronto and in 1984 his PhD under Joel Feldman and Lon Rosen at the University of British Columbia. 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.〔Hara, Slade ''The triangle condition for percolation'', Bulletin AMS, vol. 21, 1989, pp. 269–273〕 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.〔Hara, Slade ''Critical behaviour of self-avoiding walk in five and more dimensions'', Bulletin AMS, vol. 25, 1991, pp. 417–423〕 Slade received in 1995 the Coxeter–James Prize〔(Laudatio Coxeter–James Prize, pdf )〕 and in the 2010 the CRM-Fields-PIMS Prize. 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. In 2003 he was awarded with Remco van der Hofstad the prize of the Institute Henri Poincaré. Slade was an invited speaker in 1994 at the ICM in Zürich with lecture ''The critical behaviour of random systems''. ==Selected works== *with Neal Madras: ''Self-avoiding walk'', Birkhäuser 1993 *The lace expansion and its applications (École d’Eté de Probabilités de Saint-Flour XXXIV, 2004), Springer Verlag 2006 ((The lace expansion and its applications, pdf )) 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Gordon Douglas Slade」の詳細全文を読む スポンサード リンク
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