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cond-mat.stat-mech2001
Cardy's Formula for some Dependent Percolation Models
Federico Camia, Charles M. Newman, Vladas Sidoravicius
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.…
math.PR2001
Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice
Federico Camia, Charles M. Newman, Vladas Sidoravicius
We investigate zero-temperature dynamics on the hexagonal lattice H for the homogeneous ferromagnetic Ising model with zero external magnetic field and a disordered ferromagnetic I…