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arxiv: 0912.2398 · v1 · submitted 2009-12-12 · 🧮 math.PR

Almost sure central limit theorems on the Wiener space

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keywords almostcentrallimitsuretheoremsfunctionsgaussiannon-linear
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In this paper, we study almost sure central limit theorems for sequences of functionals of general Gaussian fields. We apply our result to non-linear functions of stationary Gaussian sequences. We obtain almost sure central limit theorems for these non-linear functions when they converge in law to a normal distribution.

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