Polygons, slabs, bridges and knots

  • Neal Madras
  • Gordon Slade
Part of the Probability and Its Applications book series (PA)


In this section we shall discuss rigorous bounds for the critical exponent α sing , which is defined by the scaling relation
$$ {{c}_{N}}(0,x) \sim const.{{\mu }^{N}}{{N}^{{{{\alpha }_{{sing}}} - 2}}}for fixed nonzero x. $$


Random Walk Critical Exponent Geometrical Constraint Small Point Horizontal Translation 
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Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • Neal Madras
    • 1
  • Gordon Slade
    • 2
  1. 1.Department of Mathematics and StatisticsYork UniversityDownsviewCanada
  2. 2.Department of Mathematics and StatisticsMcMaster UniversityHamiltonCanada

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