2 papers
math.DS2026
Renormalization and scaling of bubbles
Nataliya Goncharuk, Igors Gorbovickis
The paper explores scaling properties of bubbles -- a complex analogue of Arnold tongues, associated to a one-dimensional family of analytic circle diffeomorphisms. Bubbles are smo…
math.DS2025
Anti-classification for flows on two-tori
Nataliya Goncharuk
We prove that the classification of real-analytic vector fields on the two-torus up to orbital topological equivalence does not admit a complete numerical invariant that is a Borel…