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 absolute continuity of "high entropy" hyperbolic invariant measuresfor smooth actions of higher rank abelian groups assuming that there are noproportional Lyapunov exponents. For actions on tori and infranilmanifoldsexistence of an absolutely continuous invariant measure of this kind isobtained for actions whose elements are homotopic to those of an action byhyperbolic automorphisms with no multiple or proportional Lyapunov exponents.In the latter case a form of rigidity is proved for certain natural classes ofcocycles over the action.

Measure and cocycle rigidity for certain non-uniformly hyperbolic actions of higher rank abelian groups