## Golden mean Siegel disk universality and renormalization

*Gaidashev, Denis*;

*Yampolsky, Michael*;

- Subject: Mathematics - Dynamical Systemsarxiv: 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

- References (10)
- Similar Research Results (4) publicationRenormalization and Siegel disks for complex H\'enon maps (2016)95%publicationThe boundaries of golden-mean Siegel disks in the complex quadratic H\'enon family are not smooth (2016)82%publicationRenormalization in the Golden-Mean Semi-Siegel H\'enon Family: Universality and Non-Rigidity (2017)78%publicationRenormalization in the Golden-Mean Semi-Siegel H\'enon Family: Non-Quasisymmetry (2019)73%
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