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High Level Occupation Times for Gaussian Stochastic Processes with Sample Paths in Orlicz Spaces
Canadian journal of mathematics, Tome 39 (1987) no. 1, pp. 239-256

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Let X be a complete separable metric space, and a family of probability measures on the Borel subsets of X. We say that obeys the large deviation principle (LDP) with a rate function I(·) if there exists a function I(·) from X into [0, ∞] satisfying: (i) 0 ≦ I(x) ≦ ∞ for all x ∊ X. (ii) I(·) is lower semicontinuous. (iii) For each l < ∞ the set {x:I(x) ≦ l} is a compact set in X. (iv) For each closed set C ⊂ X (v) For each open set C ⊂ X 
Lawniczak, Anna T. High Level Occupation Times for Gaussian Stochastic Processes with Sample Paths in Orlicz Spaces. Canadian journal of mathematics, Tome 39 (1987) no. 1, pp. 239-256. doi: 10.4153/CJM-1987-011-6
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