papers
Publications (15)
math.DS2009
Approximate transitivity property and Lebesgue spectrum
El Houcein El Abdalaoui, Mariusz Lemanczyk
math.DS2014
Generalized Riesz Products on the Bohr compactification of $\R$
El Houcein El Abdalaoui
math.DS2015
A simple proof of Bourgain's theorem on the singularity of the spectrum of Ornstein's maps
El Houcein El Abdalaoui
math.DS2015
Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervals
El Houcein El Abdalaoui, Mariusz Lemanczyk, Thierry De La Rue
math.DS2015
A cubic nonconventional ergodic average with Möbius and Liouville weight
El Houcein El Abdalaoui, Xiangdong Ye
math.DS2013
0-1 sequences of the Thue-Morse type and Sarnak's conjecture
El Houcein El Abdalaoui, StanisÅaw Kasjan, Mariusz LemaÅczyk
math.DS2005
A new class of Ornstein transformations with singular spectrum
El Houcein El Abdalaoui, François Parreau, A. A. Prikhod'Ko
math.DS2013
On the Fibonacci complex dynamical systems
El Houcein El Abdalaoui, Sylvain Bonnot, Ali Messaoudi +1
math.DS2007
A new class of rank one transformations with singular spectrum
El Houcein El Abdalaoui
math.DS2015
The Chowla and the Sarnak conjectures from ergodic theory point of view
El Houcein El Abdalaoui, Joanna Kulaga-Przymus, Mariusz Lemanczyk +1
math.DS2005
Weak mixing of maps with bounded cutting parameter
El Houcein El Abdalaoui, Arnaldo A. N. Noguiera, Thierry T. D. De Larue
math.DS2009
On the spectrum of $α$-rigid maps
El Houcein El Abdalaoui
math.DS2013
A dynamical point of view on the set of B-free integers
El Houcein El Abdalaoui, Mariusz Lemanczyk, Thierry De La Rue
math.DS2016
The Rudin-Shapiro polynomials and The Fekete polynomials are not $L^α$-flat
El Houcein El Abdalaoui
math.DS2013
On spectral disjointness of powers for rank-one transformations and Möbius orthogonality
El Houcein El Abdalaoui, Mariusz Lemanczyk, Thierry De La Rue