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math.DS2021
Analytic weakly mixing diffeomorphisms on odd dimensional spheres
Gerard Farré
We present an approximation by conjugation scheme to obtain real-analytic diffeomorphisms of odd dimensional spheres that are weakly mixing with respect to the volume.
math.DS2021★ 1 cited
Positive measure of effective quasi-periodic motion near a Diophantine torus
Abed Bounemoura, Gerard Farré
It was conjectured by Herman that an analytic Lagrangian Diophantine quasi-periodic torus , invariant by a real-analytic Hamiltonian system, is always accumulated by…
math.DS2019★ 5 cited
Instabilities for analytic quasi-periodic invariant tori
Gerard Farré, Bassam Fayad
We prove the existence of real analytic Hamiltonians with topologically unstable quasi-periodic invariant tori. Using various versions of our examples, we solve the following probl…