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

We investigate partitioning of integer sequences into heapable subsequences(previously defined and established by Mitzenmacher et al). We show that anextension of patience sorting computes the decomposition into a minimal numberof heapable subsequences (MHS). We connect this parameter to an interactiveparticle system, a multiset extension of Hammersley's process, and investigateits expected value on a random permutation. In contrast with the (well studied)case of the longest increasing subsequence, we bring experimental evidence thatthe correct asymptotic scaling is $\frac{1+\sqrt{5}}{2}\cdot \ln(n)$. Finallywe give a heap-based extension of Young tableaux, prove a hook inequality andan extension of the Robinson-Schensted correspondence.

Partition into heapable sequences, heap tableaux and a multiset extension of Hammersley's process