6 citations · 10 across the 7 of their papers we have counts for
7 papers · 1 filter
Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary
Bassam Fayad, Maria Saprykina
Let be an -dimensional differentiable manifold with a nontrivial circle action ${\mathcal S}= {\lbrace S_t \rbrace}_{t \in\RR}, S_{t+1}=S_t$, preserving a smooth volume .…
Constructions in elliptic dynamics
Bassam Fayad, Anatole Katok
We present an overview and some new applications of the approximation by conjugation method introduced by Anosov and the second author more than thirty years ago \cite{AK}. Michel…
Two remarks on the Shrinking Target Property
Bassam Fayad
We show that a translation of vector V on the torus has the monotone shrinking target property if and only if the vector V is of constant type. Then, using reparametrizations of li…
A Dichotomy between Discrete and Continuous Spectrum for a Class of Special Flows over Rotations
Bassam Fayad, Alistair Windsor
We provide sufficient conditions on a positive function so that its associated special flow over any irrational rotation is either weak mixing or -conjugate to a suspension fl…
Smooth mixing flows with singular spectra
Bassam Fayad
We give a geometric criterion that guaranteesa purely singular spectral type for a dynamical system on a Riemannian manifold. The criterion, that is based on the existence of fairl…
Continuous spectrum on laminations over Aubry-Mather sets
Bassam Fayad
If we perturb a completely integrable Hamiltonian system with two degrees of freedom, the perturbed flow might display, on every energy level, invariant sets that are laminations o…