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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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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DOI: https://doi.org/10.1007/s004400200209
Keywords
- Attractive Interaction
- Diffusive Behavior
- Connective Constant
- Lace Expansion