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Bibliographic Details
Main Authors: Goncharuk, Nataliya, Yampolsky, Michael
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.15195
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Table of Contents:
  • We study the global behavior of the renormalization operator on a specially constructed Banach manifold that has cubic critical circle maps on its boundary and circle diffeomorphisms in its interior. As an application, we prove results on smoothness of irrational Arnold tongues.