42 citations · 167 across the 42 of their papers we have counts for
55 papers
On the density of Lyapunov unstable elliptic equilibria
Bassam Fayad, Jaime Paradela, Maria Saprykina +1
We prove that any real-analytic Hamiltonian in five or more degrees-of-freedom, with a locally integrable non-degenerate elliptic equilibrium with indefinite quadratic part, can be…
Kolmogorov invariant torus theorem for weakly interacting particles I: Full dimensional tori
Dmitry Dolgopyat, Bassam Fayad, Jaime Paradela
We develop an abstract KAM theorem for systems of infinitely many interacting particles with decaying masses and all-to-all interactions. Using this framework, we construct full-di…
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.
Energy growth for systems of coupled oscillators with partial damping
Dmitry Dolgopyat, Bassam Fayad, Leonid Koralov +1
We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject…
A non-mixing Arnold flow on a surface
Bassam Fayad, Adam Kanigowski, Rigoberto Zelada
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergodic component, that is asymmetrically bounded by separatrices of non-degenerate s…
Reducibility without KAM
Fernando Argentieri, Bassam Fayad
We prove rotations-reducibility for close to constant quasi-periodic cocycles in one frequency in the finite regularity and smooth cases, and derive some applica…