Weak mixing for area preserving flows on surfaces
Abstract
Let $(ϕ_t)$ be an area-preserving smooth flow on a compact, connected, orientable surface $\mathcal M$ with at least one but finitely many fixed points. Assume that $(ϕ_t)$ is analytic (up to a canonical change of coordinates) in the neighborhood of each saddle fixed point. We show that the flow $(ϕ_t)$ is weakly mixing on each of its (finitely many) quasi-minimal components.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Advanced Topology and Set Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 17 February 2026
- Language
- EN
- Document type
- Preprint