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• W2888468235 abstract "In cite{BNT}, a framework to prove almost sure central limit theorems for sequences $(G_n)$ belonging to the Wiener space was developed, with a particular emphasis of the case where $G_n$ takes the form of a multiple Wiener-Ito integral with respect to a given isonormal Gaussian process. In the present paper, we complement the study initiated in cite{BNT}, by considering the more general situation where the sequence $(G_n)$ may not need to converge to a Gaussian distribution. As an application, we prove that partial sums of Hermite polynomials of increments of fractional Brownian motion satisfy an almost sure limit theorem in the long-range dependence case, a problem left open in cite{BNT}." @default.
• W2888468235 created "2018-08-31" @default.
• W2888468235 creator A5040524658 @default.
• W2888468235 creator A5075482281 @default.
• W2888468235 date "2018-07-23" @default.
• W2888468235 modified "2023-09-27" @default.
• W2888468235 title "Almost sure limit theorems on Wiener chaos: the non-central case" @default.
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