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Zbl 1086.60530
Couronné, Olivier
A large deviation result for the subcritical Bernoulli percolation. (English)
[J] Ann. Fac. Sci. Toulouse, VI. Sér., Math. 14, No. 2, 201-214 (2005). ISSN 0240-2963

Summary: We consider subcritical Bernoulli percolation in dimensions two and more. If $C$ is the open cluster containing the origin, we prove that the law of $C/N$ satisfies a large deviation principle with respect to the Hausdorff metric.
MSC 2000:
*60K35 Interacting random processes
60F10 Large deviations

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