SELFAVOIDING WALK IN FIVE-DIMENSIONS OR MORE DIMENSIONS

1985
24 pages
Published in:
  • Commun.Math.Phys. 97 (1985) 125-148

Citations per year

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Abstract: (Springer)
Using an expansion based on the renormalization group philosophy we prove that for aT step weakly self-avoiding random walk in five or more dimensions the variance of the endpoint is of orderT and the scaling limit is gaussian, asT→∞.
  • RENORMALIZATION GROUP
  • LATTICE FIELD THEORY: RANDOM WALK
  • LATTICE FIELD THEORY: HIGHER-DIMENSIONAL
  • CORRELATION FUNCTION
  • STATISTICAL MECHANICS: CRITICAL PHENOMENA
  • SCALING
  • FUNCTIONAL ANALYSIS
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