5 citations · 6 across the 3 of their papers we have counts for
5 papers
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.
Algebraic intersection for translation surfaces in the stratum
Smaïl Cheboui, Arezki Kessi, Daniel Massart
We study the quantity $\mbox{KVol}$ defined as the supremum, over all pairs of closed curves, of their algebraic intersection, divided by the product of their lengths, times the ar…
Algebraic intersection for translation sufaces in a family of Teichműller disks
Smaïl Cheboui, Arezki Kessi, Daniel Massart
The setting is a square-tiled surface X. We study the quantity KVol, defined as the supremum over all pairs of closed curves, of their algebraic intersection divided by the product…
Invariant cone and synchronization state stability of the mean field models
W Oukil, Ph Thieullen, A Kessi
In this article we prove the stability of mean field systems as the Winfree model in the synchronized state. The model is governed by the coupling strength parameter and the na…
Quasi-periodic motions on symplectic tori
Mauricio Garay, Arezki Kessi, Duco van Straten +1
The KAM (Kolmogorov-Arnold-Moser) theorem guarantees the stability of quasi-periodic invariant tori by perturbation in some Hamiltonian systems. Michel Herman proved a similar resu…