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arXiv · 1912.01757

Percolation of three fluids on a honeycomb lattice

Ivan Novikov
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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.

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Ivan Novikov. 2019-12-04. Percolation of three fluids on a honeycomb lattice. https://doi.org/10.1007/s00605-022-01753-7

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