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

Motivated by the problem of computing the distribution of the largestdistance $d_{\max}$ between $n$ random points on a circle we derive an explicitformula for the moments of the maximal component of a random vector following aDirichlet distribution with concentration parameters $(1,\ldots,1)$. We usethis result to give a new proof of the fact that the law of $n\,d_{\max}-\logn$ converges to a Gumbel distribution as $n$ tends to infinity.

Limiting distribution of the maximal distance between random points on a circle: A moments approach