37 citations · 140 across the 23 of their papers we have counts for
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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…
On Nörlund summation and Ergodic Theory, with applications to power series of Hilbert contractions
Christophe Cuny, Michel Weber
We show that if is a good weight for the dominated weighted ergodic theorem in , , then the Nörlund matrix $N_{\bf a}=\{a_{i-j}/A_i\}_{0\le j\le…
On the Komlós, Major and Tusnády strong approximation for some classes of random iterates
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
The famous results of Komlós, Major and Tusnády (see [15] and [17]) state that it is possible to approximate almost surely the partial sums of size n of i.i.d. centered random vari…
Wiener's lemma along primes and other subsequences
Christophe Cuny, Tanja Eisner, Bálint Farkas
Inspired by subsequential ergodic theorems, we study the validity of Wiener's lemma and the extremal behavior of a measure on the unit circle via the behavior of its Fourier co…