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

For integer $m\ge3$, we study the dynamical system $(\Lambda_m,\sigma_m)$where $\Lambda_m$ is the set $\{w\in\{0,1\}^\mathbb{N}: w$ does not contain$0^m$ or $1^m\}$ and $\sigma_m$ is the shift map on $\{0,1\}^\mathbb{N}$restricted to $\Lambda_m$, study the Bernoulli-type measures on $\Lambda_m$ andfind out the unique equivalent $\sigma_m$-invariant ergodic probabilitymeasure. As an application, we obtain the Hausdorff dimension of the set ofunivoque sequences, the Hausdorff dimension of the set of sequences in whichthe lengths of consecutive $0$'s and consecutive $1$'s are bounded, and theHausdorff dimension of their frequency subsets.

Hausdorff dimension of frequency sets of univoque sequences