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- W4295678504 abstract "We study a new type of normal form at a critical point of an analytic Hamiltonian. Under a Bruno condition on the frequency, we prove a convergence statement to the normal form. Using this result, we prove the Herman invariant tori conjecture namely the existence of a positive measure set of invariant tori near the critical point. This paper is an update of the first 2012 proof of the author. The functional analytic arguments have been simplified using Banach functors, minor points have been clarified. A series of videos is available on the webpage https://www.agtz.mathematik.uni-mainz.de/category/alg-geom/" @default.
- W4295678504 created "2022-09-14" @default.
- W4295678504 creator A5011650772 @default.
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- W4295678504 date "2019-09-13" @default.
- W4295678504 modified "2023-10-16" @default.
- W4295678504 title "The Herman invariant tori conjecture" @default.
- W4295678504 doi "https://doi.org/10.48550/arxiv.1909.06053" @default.
- W4295678504 hasPublicationYear "2019" @default.
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