{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T04:57:23Z","timestamp":1754110643524,"version":"3.40.5"},"reference-count":8,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2024,4,29]],"date-time":"2024-04-29T00:00:00Z","timestamp":1714348800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2024,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We investigate here the behaviour of a large typical meandric system, proving a central limit theorem for the number of components of a given shape. Our main tool is a theorem of Gao and Wormald that allows us to deduce a central limit theorem from the asymptotics of large moments of our quantities of interest.<\/jats:p>","DOI":"10.1017\/s0963548324000117","type":"journal-article","created":{"date-parts":[[2024,4,29]],"date-time":"2024-04-29T09:38:38Z","timestamp":1714383518000},"page":"597-610","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":2,"title":["Central limit theorem for components in meandric systems through high moments"],"prefix":"10.1017","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9680-2790","authenticated-orcid":false,"given":"Svante","family":"Janson","sequence":"first","affiliation":[]},{"given":"Paul","family":"Th\u00e9venin","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2024,4,29]]},"reference":[{"key":"S0963548324000117_ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-020-02665-2"},{"key":"S0963548324000117_ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02885671"},{"key":"S0963548324000117_ref3","unstructured":"[3] Ojeda, G. B. , Holmgren, C. and Janson, S. (2023) Fringe trees for random trees with given vertex degrees, arXiv:2312.04243."},{"key":"S0963548324000117_ref7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139871495"},{"key":"S0963548324000117_ref8","unstructured":"[8] Wormald, N. , Personal communication."},{"key":"S0963548324000117_ref2","doi-asserted-by":"crossref","unstructured":"[2] Borga, J. , Gwynne, E. and Park, M. (2023) On the geometry of uniform meandric systems, arXiv:2212.00534.","DOI":"10.1007\/s00220-023-04846-y"},{"key":"S0963548324000117_ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-004-0356-9"},{"key":"S0963548324000117_ref4","first-page":"rnac156","article-title":"Components in meandric systems and the infinite noodle","volume":"2023","author":"F\u00e9ray","year":"202","journal-title":"Int. Math. Res. Not. IMRN"}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548324000117","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,8]],"date-time":"2024-10-08T22:46:14Z","timestamp":1728427574000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548324000117\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,29]]},"references-count":8,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2024,9]]}},"alternative-id":["S0963548324000117"],"URL":"https:\/\/doi.org\/10.1017\/s0963548324000117","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"type":"print","value":"0963-5483"},{"type":"electronic","value":"1469-2163"}],"subject":[],"published":{"date-parts":[[2024,4,29]]},"assertion":[{"value":"\u00a9 The Author(s), 2024. Published by Cambridge University Press","name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}},{"value":"This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https:\/\/creativecommons.org\/licenses\/by\/4.0\/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.","name":"license","label":"License","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}