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A self-avoiding walk with attractive interactions
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  • Published: October 2002

A self-avoiding walk with attractive interactions

  • Daniel Ueltschi1 

Probability Theory and Related Fields volume 124, pages 189–203 (2002)Cite this article

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Abstract.

 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.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Davis, CA 95616, USA. e-mail:ueltschi@math.ucdavis.edu, , , , , , US

    Daniel Ueltschi

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  1. Daniel Ueltschi
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Received: 18 July 2001 / Revised version: 24 February 2002 / Published online: 10 September 2002

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Ueltschi, D. A self-avoiding walk with attractive interactions. Probab Theory Relat Fields 124, 189–203 (2002). https://doi.org/10.1007/s004400200209

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  • Issue Date: October 2002

  • DOI: https://doi.org/10.1007/s004400200209

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Keywords

  • Attractive Interaction
  • Diffusive Behavior
  • Connective Constant
  • Lace Expansion
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