42 citations · 167 across the 42 of their papers we have counts for
4 papers · 1 filter
On the convergence to of mod
Bassam Fayad, Jean-Paul Thouvenot
We show that for any irrational number $\a$ and a sequence of integers such that $\displaystyle{\lim_{l\to \infty} \norm{m_l \a} = 0}$, there exists a continuou…
Around the stability of KAM-tori
Hakan Eliasson, Bassam Fayad, Raphaël Krikorian
We show that an analytic invariant torus $\cT_0$ with Diophantine frequency is never isolated due to the following alternative. If the Birkhoff normal form of the Hamiltonian…
Analytic uniquely ergodic volume preserving maps on odd spheres
Bassam Fayad, Anatole Katok
We construct examples of volume-preserving uniquely ergodic (and hence minimal) real-analytic diffeomorphisms on odd-dimemsional spheres
KAM rigidity for partially hyperbolic affine Z^k actions on the torus with a rank one factor
Danijela Damjanovic, Bassam Fayad
We show that ergodic affine abelian discrete actions on the torus, that have a rank-one factor in their linear part, are locally rigid in a KAM sense if and only if the rank one fa…