{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:19:50Z","timestamp":1759335590272,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The number of words $w = w_1\\cdots w_n$, $1 \\leq w_i \\leq k$, for which there are $1 \\leq i_1  &lt;  \\cdots  &lt;  i_{\\ell} \\leq n$ and $w_{i_1} &gt; \\cdots &gt; w_{i_{\\ell}}$, is given, by the Schensted-Knuth correspondence, in terms of standard and semi-standard Young tableaux.  When $n \\to \\infty$, the asymptotics of the number of such words is calculated.<\/jats:p>","DOI":"10.37236\/1353","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:58:01Z","timestamp":1578689881000},"source":"Crossref","is-referenced-by-count":4,"title":["Asymptotics of the Number of $k$-words With An $\\ell$-descent"],"prefix":"10.37236","volume":"5","author":[{"given":"Amitai","family":"Regev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[1998,2,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v5i1r15\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v5i1r15\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T01:10:35Z","timestamp":1579309835000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v5i1r15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,2,25]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[1998,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1353","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[1998,2,25]]},"article-number":"R15"}}