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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We show that a sectional-hyperbolic attracting set for a H\"older-$C^1$vector field admits finitely many physical/SRB measures whose ergodic basinscover Lebesgue almost all points of the basin of topological attraction. Inaddition, these physical measures depend continuously on the flow in the $C^1$topology, that is, sectional-hyperbolic attracting sets are statisticallystable. To prove these results we show that each central-unstable disk in aneighborhood of this class of attracting sets is eventually expanded to containa ball whose inner radius is uniformly bounded away from zero.

Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability