Inducing countable Lebesgue spectrum
We show that every ergodic dynamical system induces a system with pure Lebesgue spectrum of infinite multiplicity.
math.DS↗
arXiv subjects
Fatna Abdedou
Publications and source records attributed to Fatna Abdedou.
Analytic reparametrizations of translation toral flows with countable Lebesgue spectrum
We give an example of a real analytic reparametrization of a minimal translation flow on $\mathbb{T}^{5}$ that has a Lebesgue spectrum with infinite multiplicity.
math.DS↗