Bercu, BernardNourdin, IvanTaqqu, Murad S.2019-08-282019-08-282010-08-01Bernard Bercu, Ivan Nourdin, Murad S Taqqu. 2010. "Almost sure central limit theorems on the Wiener space." STOCHASTIC PROCESSES AND THEIR APPLICATIONS, Volume 120, Issue 9, pp. 1607 - 1628 (22). https://doi.org/10.1016/j.spa.2010.05.0040304-4149https://hdl.handle.net/2144/37420In 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.1607 - 1628 (22)Statistics & probabilityMathematicsAlmost sure limit theoremMultiple stochastic integralsFractional Brownian motionHermite power variationStatisticsBanking, finance and investmentAlmost sure central limit theorems on the Wiener spaceArticle10.1016/j.spa.2010.05.0040000-0002-1145-9082 (Taqqu, Murad S)54255