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Title:
Complex Rotation Numbers and Renormalization

Speaker:
Nataliia Goncharuk

Abstract:
The complex rotation number is an invariant related to the dynamics of an analytic circle diffeomorphism f. It produces a nice fractal set ``bubbles'' analogous to Arnold's tongues. I will explain how the renormalization operator makes the ``bubbles'' self-similar and controls their sizes.

Link:
https://www.msri.org/workshops/970/schedules/30734

Workshop:
MSRI- [HYBRID WORKSHOP] Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables