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- W2058242802 abstract "The square lattice is used to generate an oriented graph in which a rightward or upward arrow is present on each edge with probability a, and a leftward or downward arrow with probability b. Independence between different edges of the square lattice is assumed, but nothing is assumed concerning the dependence between the two possible orientations at any given edge. A property of self-duality is exploited to show that, when a+b=1, the process is, in a sense to be made precise, either critical or supercritical, but not subcritical. This observation enables progress with the percolation problem in which each horizontal edge is oriented rightward with probability p and otherwise leftward, and each vertical edge is oriented upward with probability p and otherwise downward. © 2001 John Wiley & Sons, Inc. Random Struct. Alg., 18, 257–266, 2001" @default.
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- W2058242802 date "2001-01-01" @default.
- W2058242802 modified "2023-10-17" @default.
- W2058242802 title "Infinite paths in randomly oriented lattices" @default.
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- W2058242802 doi "https://doi.org/10.1002/rsa.1007" @default.
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