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Author

R. Ziff

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Aug 2026

Extended-range percolation for neighborhoods of rectangular shape on square lattice.

In this paper, extended-range percolation for neighborhoods of rectangular shape on a square lattice is investigated by means of Monte Carlo simulations. We choose a rectangle with an aspect ratio of 2 : 1, with the long side indicating its orientation. Three types of orientation are considered, namely horizontal (mode...

Z. Xun, D. Hao, R. Ziff · 1 citation
Preprint Jul 2026

Strongly-connected percolation on directed lattices

We study percolation on lattices with directed bonds, focusing on the behavior of strongly-connected percolation clusters -- clusters in which every site is reachable from every other along a directed path. We consider the two-dimensional square lattice and various globally isotropic arrangements of the directions of t...

M. Newman, P. Grassberger, R. Ziff · 0 citations

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