Percolation of three fluids on a honeycomb lattice
Probability
2022-10-31 v1 Combinatorics
Abstract
In this paper, we consider a generalization of percolation: percolation of three related fluids on a honeycomb lattice. K. Izyurov and A. Magazinov proved that percolations of distinct fluids between opposite sides on a fixed hexagon become mutually independent as the lattice step tends to 0. This paper exposes this proof in details (with minor simplifications) for nonspecialists. In addition, we state a few related conjectures based on numerical experiments.
Cite
@article{arxiv.1912.01757,
title = {Percolation of three fluids on a honeycomb lattice},
author = {Ivan Novikov},
journal= {arXiv preprint arXiv:1912.01757},
year = {2022}
}
Comments
in English and in Russian; 15 pages