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/

Zendy Plus

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

Zendy Tools

Zendy Open

We provide an example of a Schr\"odinger cocycle over a mixing Markov shiftfor which the integrated density of states has a very weak modulus ofcontinuity, close to the log-H\"older lower bound established by W. Craig andB. Simon. This model is based upon a classical example due to Y. Kifer of arandom Bernoulli cocycle with zero Lyapunov exponents which is not stronglyirreducible. It follows that the Lyapunov exponent of a Bernoulli cocycle nearthis Kifer example cannot be H\"older or weak-H\"older continuous, thusproviding a limitation on the modulus of continuity of the Lyapunov exponent ofrandom cocycles.

A random cocycle with non H\"older Lyapunov exponent