Percolation of three fluids on a honeycomb lattice

被引：0
|
作者：
Novikov, Ivan [1 ]
机构：
[1] Univ Paris Dauphine PSL, CEREMADE, Pl Marechal Lattre de Tassigny, F-75775 Paris 16, France
来源：
MONATSHEFTE FUR MATHEMATIK | 2022年 / 199卷 / 03期
关键词：
Fourier-Walsh transform; Potts model; Percolation; Honeycomb lattice; Boolean functions;
D O I：
10.1007/s00605-022-01753-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：611 / 626
页数：16
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