60 citations · 97 across the 30 of their papers we have counts for
Showing 2017 · math.DSShow all
3 papers · 2 filters
math.DS2017★ 6 cited
On Veech's proof of Sarnak's theorem on the Möbius flow
el Houcein el Abdalaoui
We present Veech's proof of Sarnak's theorem on the Möbius flow which say that there is a unique admissible measure on the Möbius flow. As a consequence, we obtain that Sarnak's co…
math.DS2017★ 2 cited
Oscillating sequences, Gowers norms and Sarnak's conjecture
el Houcein el Abdalaoui
It is shown that there is an oscillating sequence of higher order which is not orthogonal to the class of dynamical flow with topological entropy zero. We further establish that an…
math.DS2017★ 2 cited
Möbius disjointness for models of an ergodic system and beyond
El Houcein El Abdalaoui, Joanna Kułaga-Przymus, Mariusz Lemańczyk +1
Given a topological dynamical system and an arithmetic function , we study the strong MOMO property (relatively to $\boldsymbol…