2 papers
math.DS2024
Inducing countable Lebesgue spectrum
Fatna Abdedou, Bassam Fayad, Jean-Paul Thouvenot
We show that every ergodic dynamical system induces a system with pure Lebesgue spectrum of infinite multiplicity.
math.DS2022
Analytic reparametrizations of translation toral flows with countable Lebesgue spectrum
Fatna Abdedou, Bassam Fayad, Arezki Kessi
We give an example of a real analytic reparametrization of a minimal translation flow on that has a Lebesgue spectrum with infinite multiplicity.