14 citations · 48 across the 20 of their papers we have counts for
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math.DS2016
Renormalization and Siegel disks for complex Hénon maps
Denis Gaidashev, Remus Radu, Michael Yampolsky
We use hyperbolicity of golden-mean renormalization of dissipative Hénon-like maps to prove that the boundaries of Siegel disks of sufficiently dissipative quadratic complex Hénon…
math.DS2016
Renormalization of almost commuting pairs
Denis Gaidashev, Michael Yampolsky
In this paper we give a new prove of hyperbolicity of renormalization of critical circle maps using the formalism of almost-commuting pairs. We extend renormalization to two-dimens…
math.DS2016
Golden mean Siegel disk universality and renormalization
Denis Gaidashev, Michael Yampolsky
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…