arXiv Open Access 2022

Almost reducibility of quasiperiodic sl(2, R)-cocycles in ultradifferentiable classes

Maxime Chatal Claire Chavaudret

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Abstrak

Given a quasiperiodic cocycle in sl(2, R) sufficiently close to a constant, we prove that it is almost-reducible in ultradifferentiable class under an adapted arithmetic condition on the frequency vector. We also give a corollary on the H{ö}lder regularity of the Lyapunov exponent.

Topik & Kata Kunci

math.DS

Penulis (2)

Maxime Chatal

Claire Chavaudret

Format Sitasi

APA MLA BibTeX

Chatal, M., Chavaudret, C. (2022). Almost reducibility of quasiperiodic sl(2, R)-cocycles in ultradifferentiable classes. https://arxiv.org/abs/2204.13306

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓