2 papers
math.DS2026
Weak mixing for area preserving flows on surfaces
Adam Kanigowski, Alexey Okunev, Rigoberto Zelada
Let be an area-preserving smooth flow on a compact, connected, orientable surface with at least one but finitely many fixed points. Assume that is an…
math.DS2024
Thick Arnold tongues
Mark Levi, Alexey Okunev
We introduce and study a physically motivated problem that exhibits interesting and perhaps unexpected mathematical features. A cellular flow is a two-dimensional Hamiltonian flow…