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On the existence of critical exponents for self-avoiding walks

Mathematical Physics 2022-10-07 v2 Statistical Mechanics Combinatorics math.MP Probability

Abstract

We describe some ideas of John Hammersley for proving the existence of critical exponents for two-dimensional self-avoiding walks and provide numerical evidence for their correctness.

Keywords

Cite

@article{arxiv.2207.08433,
  title  = {On the existence of critical exponents for self-avoiding walks},
  author = {Anthony J Guttmann and Iwan Jensen},
  journal= {arXiv preprint arXiv:2207.08433},
  year   = {2022}
}

Comments

19 pages, 5 figures