Golden mean Siegel disk universality and renormalization

Preprint English OPEN
Gaidashev, Denis; Yampolsky, Michael;
(2016)
  • Subject: Mathematics - Dynamical Systems
    arxiv: Mathematics::Dynamical Systems | Mathematics::Number Theory

We provide a computer-assisted proof of one of the central open questions in one-dimensional renormalization theory -- universality of the golden-mean Siegel disks. We further show that for every function in the stable manifold of the golden-mean renormalization fixed p... View more
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