This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

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
<< Go back