60 citations · 97 across the 30 of their papers we have counts for
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math.DS2020
On the homogeneous ergodic bilinear averages with -bounded multiplicative weights
el Houcein el Abdalaoui
We establish a generalization of Bourgain double recurrence theorem and ergodic Bourgain-Sarnak's theorem by proving that for any aperiodic -bounded multiplicative function $\bo…
math.DS2020★ 1 cited
Sarnak's Möbius disjointness for dynamical systems with singular spectrum and dissection of Möbius flow
el Houcein el Abdalaoui, Mahesh Nerurkar
It is shown that Sarnak's Möbius orthogonality conjecture is fulfilled for the compact metric dynamical systems for which every invariant measure has singular spectra. This is acco…
math.DS2020★ 1 cited
Weakly tame systems, their characterizations and application
e. H. el Abdalaoui, M. Nerurkar
We explore the notion of discrete spectrum and its various characterizations for ergodic measure-preserving actions of an amenable group on a compact metric space. We introduce a n…