6 citations · 12 across the 8 of their papers we have counts for
9 papers
Real almost reducibility of differentiable real quasi-periodic cocycles
Maxime Chatal, Claire Chavaudret, L. Hakan Eliasson
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…
Analytic linearization of a generalization of the semi-standard map: radius of convergence and Brjuno sum
Claire Chavaudret, Stefano Marmi
One considers a system on close to an invariant curve which can be viewed as a generalization of the semi-standard map to a trigonometric polynomial with many Fourie…
Reducibility of ultra-differentiable quasi-periodic cocycles under an adapted arithmetic condition
Abed Bounemoura, Claire Chavaudret, Shuqing Liang
We prove a reducibility result for sl(2,R) quasi-periodic cocycles close to a constant elliptic matrix in ultra-differentiable classes, under an adapted arithmetic condition which…
Sharp Holder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
Ao Cai, Claire Chavaudret, Jiangong You +1
We show that if the base frequency is Diophantine, then the Lyapunov exponent of a quasi-periodic cocycle is -Hölder continuous in the almost reduci…
Normal form of holomorphic vector fields with an invariant torus under Brjuno's A condition
Claire Chavaudret
We consider the holomorphic normalization problem for a holomorphic vector field in the neighborhood of the product of a fixed point and an invariant torus. Supposing that the vect…
Reducibility of cocycles under a Brjuno-Rüssmann arithmetical condition
Claire Chavaudret, Stefano Marmi
The arithmetics of the frequency and of the rotation number play a fundamental role in the study of reducibility of analytic quasi-periodic cocycles which are sufficiently close to…