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arXiv · 2605.20376

Rotation domains for maps of bounded type

Nataliya Goncharuk·Michael Yampolsky
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Abstract

We present a novel approach for deriving KAM-type linearization theorems directly -- and almost immediately -- from the existence of the stable foliation for a renormalization operator. We give a few illustrations in dynamics in one and several complex variables, starting with a version of the classical theorem of Arnol'd and ending with a result on persistence of Herman rings in families of two-dimensional maps.

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Nataliya Goncharuk, Michael Yampolsky. 2026-05-19. Rotation domains for maps of bounded type. https://arxiv.org/abs/2605.20376

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