Y. Hafouta, Y. Kifer·2015-04-03·via math.PR updates on arXiv.org
We obtain a functional central limit theorem (CLT) for sums of the form $ξ_N(t)=\frac1{\sqrt N}\sum_{n=1}^{[Nt]}\big(F(X(q_1(n)),...,X(q_\ell(n)))-\bar F\big)$ where $q_1,...,q_\ell$ are polynomials.