The Hammersley-Welsh bound for self-avoiding walk revisited

DOI10.1214/17-ECP94zbMath1388.60162arXiv1708.09460MaRDI QIDQ1748552

Tom Hutchcroft

Publication date: 11 May 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09460

zbMATH Keywords

self-avoiding walkHammersley-Welsh bound

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Enumerative combinatorics (05A99)

Related Items (4)

Weakly self-avoiding walk on a high-dimensional torus ⋮ Self-avoiding walk on nonunimodular transitive graphs ⋮ Self-avoiding walk, spin systems and renormalization ⋮ Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion

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• THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
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• FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE

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