5 papers
Convergence of weighted ergodic averages
Ahmad Darwiche, Dominique Schneider
Let be a probability space and let be a contraction on . We provide suitable conditions over sequences , and in such a way t…
On the discrepancy of powers of random variables
Nicolas Chenavier, Dominique Schneider
Let be a sequence of positive numbers and let be a sequence of positive independent random variables. We provide an upper bound for the deviation between the distri…
Products of random variables and the first digit phenomenon
Nicolas Chenavier, Bruno Masse, Dominique Schneider
We provide conditions on dependent and on non-stationary random variables ensuring that the mantissa of the sequence of products is almost sur…
Ergodic averages with deterministic weights
Fabien Durand, Dominique Schneider
The purpose of this paper is to study ergodic averages with deterministic weights. More precisely we study the convergence of the ergodic averages of the type $\frac{1}{N} \sum_{k=…
Random series of functions and applications
Frédéric Paccaut, Dominique Schneider
We study the continuity properties of trajectories for some random series of functions where is a complex sequence, a sequence of real independ…