A note on percolation |
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Authors: | Lucio Russo |
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Institution: | (1) C.N.R., Gruppo Nazionale per la Fisica Matematica, Istituto di Fisica Teorica dell'Università di Napoli, Mostra d'Oltremare. Pad. 19, I-80125 Napoli |
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Abstract: | Summary An improvement of Harris' theorem on percolation is obtained; it implies relations between critical points of matching graphs of the type of the one stated by Essam and Sykes. As another consequence, it is proved that the percolation probability, as a function of the probability of occupation of a given site, is infinitely differentiable, except at most in the critical point. |
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