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The Lace Expansion and Its Applications: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004

by Gordon Slade
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Current price ₹4,774.00
Original price ₹7,344.00
Original price ₹7,344.00
Original price ₹7,344.00
(-35%)
₹4,774.00
Current price ₹4,774.00

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Book cover type: Paperback
  • ISBN13: 9783540311898
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 233
  • Original Price: EUR 64.99
  • Language: English
  • Edition: 2006
  • Item Weight: 386 grams
  • BISAC Subject(s): Probability & Statistics / General, Discrete Mathematics, and Physics / Mathematical & Computational

From the Back Cover
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. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of super-Brownian motion.

Gordon Slade is Professor at the University of British Columbia since 1999. Before he was Lecturer at the University of Virginia from 1985 to 1986 and Professor at the McMaster University from 1986 to 1999. The Author has been awarded the UBC Killam Research Prize (Senior Science Category) in 2004 and the Prix de l'Institut Henri Poincaré--with Remco van der Hofstad--in2003. In 2003 he was Stieltjes Visiting Professor, in 1995 Coxeter-James Lecturer for the Canadian Mathematical Society. Since 2000 he is Fellow of the Royal Society of Canada.

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