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Percolation and the bilevel lattice Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_projects/b8515p29h

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  • The paper reviews percolation and some of its important properties, particularly on the 2-D square lattice. A bilevel lattice is introduced, with a percolation model representing the spread of a forest fire according to characteristics of the forest. It is proven that the value of the laddering probability may determine whether a fire fizzles out or spreads without bound, and a programmed simulation assists in determining a critical laddering probability.
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