Rotation domains for maps of bounded type
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866914581412052992 |
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| author | Goncharuk, Nataliya Yampolsky, Michael |
| author_facet | Goncharuk, Nataliya Yampolsky, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20376 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rotation domains for maps of bounded type Goncharuk, Nataliya Yampolsky, Michael Dynamical Systems 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. |
| title | Rotation domains for maps of bounded type |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2605.20376 |