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

A Herman-Avila-Bochi type formula is obtained for the average sum of the topd Lyapunov exponents over a one-parameter family of G-cocycles, where G is thegroup that leaves a certain, non-degenerate hermitian form of signature (c,d)invariant. The generic example of such a group is the pseudo-unitary groupU(c,d) or in the case c=d, the hermitian-symplectic group HSp(2d) whichnaturally appears for cocycles related to Schr\"odinger operators. In the cased=1, the formula for HSp(2d) cocycles reduces to the Herman-Avila-Bochi formulafor SL(2,R) cocycles.

A Herman-Avila-Bochi formula for higher dimensional pseudo-unitary and hermitian-symplectic cocycles