Poisson percolation on the oriented square lattice
نویسندگان
چکیده
منابع مشابه
Temporally Disordered Bond Percolation on the Directed Square Lattice.
Simple models of directed bond percolation with temporal disorder are introduced and studied via series expansions and Monte Carlo simulations. Series have been derived for the percolation probability on the directed square lattice. Analysis of the series revealed that the critical exponent b and critical point pc change continuously with the strength of the disorder. Monte Carlo simulation con...
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We report site percolation thresholds for square lattice with neighbor bonds at various increasing ranges. Using Monte Carlo techniques we found that nearest neighbors (NN), next-nearest neighbors (NNN), next-next-nearest neighbors (4N), and fifth-nearest neighbors (6N) yield the same pc = 0.592... . The fourth-nearest neighbors (5N) give pc = 0.298... . This equality is proved to be mathematic...
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We prove the statement in the title of the paper.
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In this paper, the study of bond percolation on the square lattice is explored. In particular, the probability at which there exist infinite clusters on an inhomogeneous model of the square lattice is proven from the basics used to prove the model with equal probabilities.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2020
ISSN: 0304-4149
DOI: 10.1016/j.spa.2019.01.005