Seminari di Sistemi Dinamici 2023

Renormalization of analytic maps of the annulus and applications to conjugacy problems

speaker: Michael Yampolsky (University of Toronto)

abstract: In a recent series of works with N. Goncharuk, we have constructed an analytic renormalization operator acting on conformal maps of the annulus. We showed that this operator has a hyperbolic horseshoe attractor consisting of Brjuno rotations. I will discuss the resulting renormalization picture and some consequences, including a new proof of Risler’s theorem, and results on smoothness of Arnold tongues.

timetable:
Thu 16 Mar, 13:30 - 14:30, Sala Conferenze Centro De Giorgi
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