Almost sure central limit theorems on the Wiener space

Mathematics – Probability

Scientific paper

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Title changed. Major changes: results improved. 24 pages

Scientific paper

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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