Percolation of three fluids on a honeycomb lattice
arXiv:1912.01757 · doi:10.1007/s00605-022-01753-7
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.
arXiv commentin English and in Russian; 15 pages