DSNT Seminar: On regularity of integrable families

Abstract: In the eighties, M. Misiurewicz posed the problem if there exists non-trivial integrable circle maps. The problem is directly related to a result of M. Herman on mode-locking in families of diffeomorphisms of the circle. Using techniques coming from one-parameter families, we prove that in the class of C^3 integrable circle maps the conjugation must be C^2 independently of the rotation number. This is based on a joint work with Professor Jarek Kwapisz from Montana State University.

See upcoming seminars in our seminar series on Dynamical Systems and Number Theory (DSNT).