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 $\mathfrak{S}_n$ denote the symmetric group and let $W(\mathfrak{S}_n)$denote the weak order of $\mathfrak{S}_n$. Through a surprising connection to asubset of parking functions, which we call \emph{unit Fubini rankings}, weprovide a complete characterization and enumeration for the total number ofBoolean intervals in $W(\mathfrak{S}_n)$ and the total number of Booleanintervals of rank $k$ in $W(\mathfrak{S}_n)$. Furthermore, for any$\pi\in\mathfrak{S}_n$, we establish that the number of Boolean intervals in$W(\mathfrak{S}_n)$ with minimal element $\pi$ is a product of Fibonaccinumbers. We conclude with some directions for further study.

Boolean intervals in the weak order of $\mathfrak{S}_n$