Cardy's Formula for some Dependent Percolation Models

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We prove Cardy's formula for rectangular crossing probabilities in dependent site percolation models that arise from a deterministic cellular automaton with a random initial state. The cellular automaton corresponds to the zero-temperature case of Domany's stochastic Ising ferromagnet on the hexagonal lattice H (with alternating updates of two sublattices); it may also be realized on the triangular lattice T with flips when a site disagrees with six, five and sometimes four of its six neighbors.
9 pages

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Statistical Mechanics, Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/18533

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0111293
 http://arxiv.org/abs/cond-mat/0111293

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arXiv