36 citations · 77 across the 16 of their papers we have counts for
14 papers · 1 filter
Ergodicity of cocyles over 2-dimensional rotations
Nicolas Chevallier, Jean-Pierre Conze
We study recurrence and ergodicity of cocycles with values in R d , d 1, over rotations by badly approximable irrational numbers on T , \> 1. The discontinuities o…
On the quenched functional CLT in random sceneries
Jean-Pierre Conze
We prove a quenched functional central limit theorem (quenched FCLT) for the sums of a random field (r.f.) along a Z d-random walk in different frameworks: probabilistic (when the…
On the CLT for rotations and BV functions
Jean-Pierre Conze, Stéphane Le Borgne
Let be a rotation on the circle and let be a step function. We denote by the corresponding ergodic sums . Under an assum…
Centralizer and liftable centralizer of special flows over rotations
Jean-Pierre Conze, Mariusz Lemańczyk
The liftable centralizer for special flows over irrational rotations is studied. It is shown that there are such flows under piecewise constant roof functions which are rigid and w…
Diffuse Behaviour of Ergodic Sums Over Rotations
Jean-Pierre Conze, Stefano Isola, Stéphane Le Borgne
For a rotation by an irrational on the circle and a BV function , we study the variance of the ergodic sums . When is not of…
Correlation of sequences and of measures, generic points for joinings and ergodicity of certain cocycles
Jean-Pierre Conze, Tomasz Downarowicz, Jacek Serafin
The main subject of the paper, motivated by a question raised by Boshernitzan, is to give criteria for a bounded complex-valued sequence to be uncorrelated to any strictly ergodic…