{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:24:44Z","timestamp":1759335884520,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In this paper, we study tree\u2013like tableaux, combinatorial objects which exhibit a natural tree structure and are connected to the partially asymmetric simple exclusion process (PASEP). There was a conjecture made on the total number of corners in tree\u2013like tableaux and the total number of corners in symmetric tree\u2013like tableaux. In this paper, we prove both conjectures. Our proofs are based off of the bijection with permutation tableaux or type\u2013B permutation tableaux and consequently, we also prove results for these tableaux. In addition, we derive the limiting distribution of the number of occupied corners in random tree\u2013like tableaux and random symmetric tree\u2013like tableaux.<\/jats:p>","DOI":"10.37236\/5712","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T19:56:06Z","timestamp":1578686166000},"source":"Crossref","is-referenced-by-count":2,"title":["Corners in Tree-Like Tableaux"],"prefix":"10.37236","volume":"23","author":[{"given":"Pawe\u0142","family":"Hitczenko","sequence":"first","affiliation":[]},{"given":"Amanda","family":"Lohss","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,11,10]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i4p26\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i4p26\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:10:45Z","timestamp":1579237845000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i4p26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,10]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2016,10,14]]}},"URL":"https:\/\/doi.org\/10.37236\/5712","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2016,11,10]]},"article-number":"P4.26"}}