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math.PR2017★ 1 cited
An alternative to the coupling of Berkes-Liu-Wu for strong approximations
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
In this paper we propose an alternative to the coupling of Berkes, Liu and Wu [1] to obtain strong approximations for partial sums of dependent sequences. The main tool is a new Ro…
math.PR2006★ 9 cited
On random almost periodic trigonometric polynomials and applications to ergodic theory
Guy Cohen, Christophe Cuny
We study random exponential sums of the form $\sum_{k=1}^nX_k\times\ex p\{i(λ_k^{(1)}t_1+...+λ_k^{(s)}t_s)\}$, where is a sequence of random variables and $\{λ_n^{(i)}:1\…