{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T07:03:14Z","timestamp":1771916594262,"version":"3.50.1"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","issue":"Permutation Patterns","license":[{"start":{"date-parts":[[2018,3,26]],"date-time":"2018-03-26T00:00:00Z","timestamp":1522022400000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2018,3,26]],"date-time":"2018-03-26T00:00:00Z","timestamp":1522022400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2018,3,26]],"date-time":"2018-03-26T00:00:00Z","timestamp":1522022400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,3,31]]},"abstract":"<jats:p>We study the number of occurrences of any fixed vincular permutation pattern. We show that this statistics on uniform random permutations is asymptotically normal and describe the speed of convergence. To prove this central limit theorem, we use the method of dependency graphs. The main difficulty is then to estimate the variance of our statistics. We need a lower bound on the variance, for which we introduce a recursive technique based on the law of total variance.<\/jats:p><jats:p>Comment: only journal style changes, same content as in v3<\/jats:p>","DOI":"10.23638\/dmtcs-19-2-9","type":"journal-article","created":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T16:41:45Z","timestamp":1743698505000},"source":"Crossref","is-referenced-by-count":1,"title":["A Central Limit Theorem for Vincular Permutation Patterns"],"prefix":"10.23638","volume":"Vol. 19 no. 2, Permutation...","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9312-2522","authenticated-orcid":false,"given":"Lisa","family":"Hofer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2018,3,26]]},"container-title":["Discrete Mathematics &amp; Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/1704.00650v4","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/1704.00650v4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T16:41:45Z","timestamp":1743698505000},"score":1,"resource":{"primary":{"URL":"http:\/\/dmtcs.episciences.org\/3269"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,26]]},"references-count":0,"journal-issue":{"issue":"Permutation Patterns","published-online":{"date-parts":[[2018,3,26]]}},"URL":"https:\/\/doi.org\/10.23638\/dmtcs-19-2-9","relation":{"has-preprint":[{"id-type":"arxiv","id":"1704.00650v3","asserted-by":"subject"},{"id-type":"arxiv","id":"1704.00650v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"1704.00650","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1704.00650","asserted-by":"subject"}]},"ISSN":["1365-8050"],"issn-type":[{"value":"1365-8050","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,26]]},"article-number":"3269"}}