Percolation of three fluids on a honeycomb lattice

In this paper, we consider a generalization of percolation: percolation of three related fluids on a honeycomb lattice. Izyurov and 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.

Automated summary

This paper investigates the percolation of three related fluids on a honeycomb lattice and provides a detailed exposition of the proof by Izyurov and Magazinov, with minor simplifications, for non-specialists. Additionally, several conjectures based on numerical experiments are stated.