36 citations · 77 across the 16 of their papers we have counts for
19 papers
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…
Empirical process sampled along a stationary process
Guy Cohen, Jean-Pierre Conze
Let be a real random field (r.f.) indexed by with common probability distribution function . Let $(z_k)…
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 quenched functional CLT in 2d random sceneries, examples
Guy Cohen, Jean-Pierre Conze
We prove a quenched functional central limit theorem (quenched FCLT) for the sums of a random field (r.f.) along a 2d-random walk in different situations: when the r.f. is iid with…
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…