CRM – SNS.
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.
Further information is available on the event page on the Indico platform.