{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:36Z","timestamp":1753893816265,"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>Let $M_n$ stand for the Plancherel measure on ${\\Bbb Y}_n$, the set of Young diagrams with $n$ boxes. A recent result of R. P. Stanley (arXiv: 0807.0383) says that for certain functions $G$ defined on the set ${\\Bbb Y}$ of all Young diagrams, the average of $G$ with respect to $M_n$ depends on $n$ polynomially. We propose two other proofs of this result together with a generalization to the Jack deformation of the Plancherel measure.<\/jats:p>","DOI":"10.37236\/315","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T23:16:02Z","timestamp":1578698162000},"source":"Crossref","is-referenced-by-count":9,"title":["Plancherel Averages: Remarks on a Paper by Stanley"],"prefix":"10.37236","volume":"17","author":[{"given":"Grigori","family":"Olshanski","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,3,15]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r43\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r43\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T18:57:42Z","timestamp":1579287462000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r43"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3,15]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/315","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2010,3,15]]},"article-number":"R43"}}