无 KAM 的可再现性

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2024-10-12 DOI:10.1007/s00220-024-05105-4

F. Argentieri, B. Fayad

引用次数: 0

摘要

我们证明了在有限正则性和光滑情况下，接近恒定的准周期（SL(2,\mathbb {R})）环在一个频率上的可旋转性，并推导出准周期薛定谔算子的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Reducibility Without KAM

We prove rotations-reducibility for close to constant quasi-periodic \(SL(2,\mathbb {R})\) cocycles in one frequency in the finite regularity and smooth cases, and derive some applications to quasi-periodic Schrödinger operators.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.