English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study close-to-constants quasiperiodic cocycles in $\mathbb{T} ^{d} \timesG$, where $d \in \mathbb{N} ^{*} $ and $G$ is a compact Lie group, under theassumption that the rotation in the basis satisfies a Diophantine condition. Weprove differentiable rigidity for such cocycles: if such a cocycle ismeasurably conjugate to a constant one satisfying a Diophantine condition withrespect to the rotation, then it is $C^{\infty}$-conjugate to it, and theK.A.M. scheme actually produces a conjugation. We also derive a globaldifferentiable rigidity theorem, assuming the convergence of therenormalization scheme for such dynamical systems.

Differentiable Rigidity for quasiperiodic cocycles in compact Lie groups