English

The worm process for the Ising model is rapidly mixing

Probability 2016-07-20 v1 Statistical Mechanics Mathematical Physics Combinatorics math.MP

Abstract

We prove rapid mixing of the worm process for the zero-field ferromagnetic Ising model, on all finite connected graphs, and at all temperatures. As a corollary, we obtain a fully-polynomial randomized approximation scheme for the Ising susceptibility, and for a certain restriction of the two-point correlation function

Keywords

Cite

@article{arxiv.1509.03201,
  title  = {The worm process for the Ising model is rapidly mixing},
  author = {Andrea Collevecchio and Timothy M. Garoni and Timothy Hyndman and Daniel Tokarev},
  journal= {arXiv preprint arXiv:1509.03201},
  year   = {2016}
}
R2 v1 2026-06-22T10:53:50.105Z