We prove, in all dimensions, that for a stationary Gibbs state with finite range or rapidly decreasing interaction, there is at most one infinite percolation cluster. This implies that the connectivity function is bounded away from 0
Uniqueness of the infinite cluster for stationary Gibbs states / A. Gandolfi. - In: ANNALS OF PROBABILITY. - ISSN 0091-1798. - STAMPA. - 17:(1989), pp. 1403-1415. [10.1214/aop/1176991161]
Uniqueness of the infinite cluster for stationary Gibbs states
GANDOLFI, ALBERTO
1989
Abstract
We prove, in all dimensions, that for a stationary Gibbs state with finite range or rapidly decreasing interaction, there is at most one infinite percolation cluster. This implies that the connectivity function is bounded away from 0File in questo prodotto:
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