arXiv subjects

Maxime Chatal

Publications and source records attributed to Maxime Chatal.

2 recordsLinked to original sources

arXiv2024

Real almost reducibility of differentiable real quasi-periodic cocycles

We prove that infinitely differentiable almost reducible quasi-periodic cocycles, under a Diophantine condition on the frequency vector, are almost reducible to a sequence of real constant cocycles with a sequence of real conjugations, up to a period doubling.

math.DS↗

arXiv2022

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

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.

math.DS↗