English

Analytic reparametrizations of translation toral flows with countable Lebesgue spectrum

Dynamical Systems 2022-08-24 v1

Abstract

We give an example of a real analytic reparametrization of a minimal translation flow on T5\mathbb{T}^{5} that has a Lebesgue spectrum with infinite multiplicity.

Keywords

Cite

@article{arxiv.2208.10571,
  title  = {Analytic reparametrizations of translation toral flows with countable Lebesgue spectrum},
  author = {Fatna Abdedou and Bassam Fayad and Arezki Kessi},
  journal= {arXiv preprint arXiv:2208.10571},
  year   = {2022}
}