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

Let $f: M \to M$ be a $C^r$-diffeomorphism, $r\geq 1$, defined on a compactboundaryless $d$-dimensional manifold $M$, $d\geq 2$, and let $H(p)$ be thehomoclinic class associated to the hyperbolic periodic point $p$. We prove thatif there exists a $C^1$ neighborhood $\mathcal{U}$ of $f$ such that for every$g\in {\mathcal U}$ the continuation $H(p_g)$ of $H(p)$ is entropy-expansivethen there is a $Df$-invariant dominated splitting for $H(p)$ of the form$E\oplus F_1\oplus... \oplus F_c\oplus G$ where $E$ is contracting, $G$ isexpanding and all $F_j$ are one dimensional and not hyperbolic.

Robust entropy expansiveness implies generic domination