Probability Theory and Related Fields

, Volume 124, Issue 2, pp 189–203 | Cite as

A self-avoiding walk with attractive interactions

  • Daniel Ueltschi


 A self-avoiding walk with small attractive interactions is described here. The existence of the connective constant is established, and the diffusive behavior is proved using the method of the lace expansion.


Attractive Interaction Diffusive Behavior Connective Constant Lace Expansion 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Daniel Ueltschi
    • 1
  1. 1.Department of Mathematics, University of California, Davis, CA 95616, USA. e-mail:ueltschi@math.ucdavis.eduUS

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