Ising model observables and non-backtracking walks

DOI10.1063/1.4881723zbMath1296.82011arXiv1209.3996OpenAlexW2110961760MaRDI QIDQ3189950

Tyler Helmuth

Publication date: 12 September 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3996

zbMATH Keywords

Ising modelnon-backtracking walks

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

The Feynman identity for planar graphs ⋮ The signed loop approach to the Ising model: foundations and critical point ⋮ Interview with Xavier Viennot ⋮ The fermionic observable in the Ising model and the inverse Kac-Ward operator ⋮ A short proof of the Kac-Ward formula

Cites Work

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• Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs
• A Combinatorial Solution of the Two-Dimensional Ising Model

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