A simple convergence proof for the lace expansion

DOI10.1214/21-AIHP1166zbMath1492.60291arXiv2006.11241OpenAlexW4210652902MaRDI QIDQ2078009

Gordon Slade

Publication date: 25 February 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11241

zbMATH Keywords

two-point functionlace expansionself-avoiding walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (3)

Self‐avoiding walk on the hypercube ⋮ The near-critical two-point function and the torus plateau for weakly self-avoiding walk in high dimensions ⋮ Weakly self-avoiding walk on a high-dimensional torus

Cites Work

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• THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
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• The <scp>Continuous‐Time</scp> Lace Expansion

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