scholarly journals Site percolation thresholds on triangular lattice with complex neighborhoods

2020 ◽  
Vol 30 (12) ◽  
pp. 123123
Author(s):  
Krzysztof Malarz
1991 ◽  
Vol 80 (3) ◽  
pp. 461-464 ◽  
Author(s):  
T.R. Gawron ◽  
Marek Cieplak

1999 ◽  
Vol 60 (1) ◽  
pp. 275-283 ◽  
Author(s):  
Paul N. Suding ◽  
Robert M. Ziff

2000 ◽  
Vol 11 (04) ◽  
pp. 843-850 ◽  
Author(s):  
F. WESTER

The distribution of site percolation thresholds for finite size lattices is a nonGaussian distribution. In this paper, we try to find out the real form of it.


2016 ◽  
Vol 25 (5) ◽  
pp. 744-765
Author(s):  
MARK HOLMES ◽  
THOMAS S. SALISBURY

We consider connectivity properties and asymptotic slopes for certain random directed graphs on ℤ2in which the set of points$\mathcal{C}_o$that the origin connects to is always infinite. We obtain conditions under which the complement of$\mathcal{C}_o$has no infinite connected component. Applying these results to one of the most interesting such models leads to an improved lower bound for the critical occupation probability for oriented site percolation on the triangular lattice in two dimensions.


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