Analytic weakly mixing diffeomorphisms on odd dimensional spheres

2021/07/05 by Farré, Gerard
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2107.02313

Abstract

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.

Related

• Analytic uniquely ergodic volume preserving maps on odd spheres
• Weak mixing behavior for the projectivized derivative extension
• Uniform rigidity sequences for weak mixing diffeomorphisms on \mathbbT²
• Weakly mixing diffeomorphisms preserving a measurable Riemannian metric are dense in A_α(M) for arbitrary Liouvillean number α
• Weak mixing in rational billiards