Summary
We consider a weakly self-avoiding T-step random walk on Z dwith possible nonnearest neighbor jumps. We prove that for d≧3, the scaling limit of the end point is Cauchy distributed as T→∞.
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Partially supported by NSF grant DMS 8702558
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Yang, WS., Klein, D. A note on the critical dimension for weakly self-avoiding walks. Probab. Th. Rel. Fields 79, 99–114 (1988). https://doi.org/10.1007/BF00319107
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DOI: https://doi.org/10.1007/BF00319107
Keywords
- Stochastic Process
- Random Walk
- Probability Theory
- Statistical Theory
- Critical Dimension