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

Autor:	Chatal, Maxime, Chavaudret, Claire
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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{\"o}lder regularity of the Lyapunov exponent.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.13306 Zobrazit plný text záznamu View this record from Arxiv