37 citations · 140 across the 23 of their papers we have counts for
4 papers · 1 filter
On the convergence of bilateral ergodic averages
Christophe Cuny, Yves Derriennic
We study the almost sure convergence of bilateral ergodic averages for not necessarily integrable functions and relate it to the ones of the forward and backward averages, hence co…
Resolvent conditions and growth of powers of operators
Guy Cohen, Christophe Cuny, Tanja Eisner +1
Following Bermúdez et al. (ArXiv: 1706.03638v1), we study the rate of growth of the norms of the powers of a linear operator, under various resolvent conditions or Cesàro boundedne…
Rates in almost sure invariance principle for slowly mixing dynamical systems
C. Cuny, J. Dedecker, A. Korepanov +1
We prove the one-dimensional almost sure invariance principle with essentially optimal rates for slowly (polynomially) mixing deterministic dynamical systems, such as Pomeau-Mannev…
Ergodic theorems with arithmetical weights
Christophe Cuny, Michel Weber
We prove that the divisor function counting the number of divisors of the integer , is a good weighting function for the pointwise ergodic theorem. For any measurable dyn…