Geodesic
Varadhan's theorem for capacities
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 667-690.

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Varadhan's integration theorem, one of the corner stones of large-deviation theory, is generalized to the context of capacities. The theorem appears valid for any integral that obeys four linearity properties. We introduce a collection of integrals that have these properties. Of one of them, known as the Choquet integral, some continuity properties are established as well.
Classification : 28A12, 28A25, 60F10
Keywords: capacities; large deviations; Choquet integral; Varadhan's integration theorem 
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Gerritse, Bart. Varadhan's theorem for capacities. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 667-690. http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a1/