A simple renormalization flow for FK-percolation models
Probability
2017-07-31 v1 Mathematical Physics
math.MP
Abstract
We present a setup that enables to define in a concrete way a renormalization flow for the FK-percolation models from statistical physics (that are closely related to Ising and Potts models). In this setting that is applicable in any dimension of space, one can interpret perturbations of the critical (conjectural) scaling limits in terms of stationary distributions for rather simple Markov processes on spaces of abstract discrete weighted graphs.
Keywords
Cite
@article{arxiv.1503.08086,
title = {A simple renormalization flow for FK-percolation models},
author = {Wendelin Werner},
journal= {arXiv preprint arXiv:1503.08086},
year = {2017}
}
Comments
12 pages, to appear in the Jean-Michel Bismut 65th anniversary volume