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 prove that if the frequency of the quasi-periodic $\mathrm{SL}(2,\R)$cocycle is Diophantine, then the following properties are dense in thesubcritical regime: for any $\frac{1}{2}<\kappa<1$, the Lyapunov exponent isexactly $\kappa$-H\"older continuous; the extended eigenstates of the potentialhave optimal sub-linear growth; and the dual operator associated a subcriticalpotential has power-law decay eigenfunctions. The proof is based on fiberedAnosov-Katok constructions for quasi-periodic $\mathrm{SL}(2,\R)$ cocycles.

Anosov-Katok constructions for quasi-periodic $\mathrm{SL}(2,R)$ cocycles