3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.DS2005
A new class of Ornstein transformations with singular spectrum
El Houcein El Abdalaoui, François Parreau, A. A. Prikhod'Ko
It is shown that for any family of probability measures in Ornstein type constructions the corresponding transformation has almost surely a singular spectrum. This is a new general…
math.DS2005★ 3 cited
Weak mixing of maps with bounded cutting parameter
El Houcein El Abdalaoui, Arnaldo A. N. Noguiera, Thierry T. D. De Larue
In the class of Ornstein transformations the mixing property satisfies a 0-1 law. Here we consider Ornstein's construction with bounded cutting parameter. In fact, these latter tra…