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題名 Limit theorems for patterns in ranked tree-child networks
作者 符麥克
Fuchs, Michael;Liu, Hexuan;Yu, Tsan-Cheng
貢獻者 應數系
關鍵詞 limit law; method of moments; pattern; Phylogenetic net-work; ranked tree-child network; tree-child network
日期 2024-01
上傳時間 24-五月-2024 11:34:18 (UTC+8)
摘要 We prove limit laws for the number of occurrences of a pattern on the fringe of a ranked tree-child network which is picked uniformly at random. Our results extend the limit law for cherries proved by Bienvenu et al. (Random Struct. Algoritm. 60 (2022), no. 4, 653–689). For patterns of height 1 and 2, we show that they either occur frequently (mean is asymptotically linear and limit law is normal) or sporadically (mean is asymptotically constant and limit law is Poisson) or not all (mean tends to 0 and limit law is degenerate). We expect that these are the only possible limit laws for any fringe pattern.
關聯 Random Structures & Algorithms, Vol.64, No.1, pp.15-37
資料類型 article
DOI https://doi.org/10.1002/rsa.21177
dc.contributor 應數系
dc.creator (作者) 符麥克
dc.creator (作者) Fuchs, Michael;Liu, Hexuan;Yu, Tsan-Cheng
dc.date (日期) 2024-01
dc.date.accessioned 24-五月-2024 11:34:18 (UTC+8)-
dc.date.available 24-五月-2024 11:34:18 (UTC+8)-
dc.date.issued (上傳時間) 24-五月-2024 11:34:18 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/151270-
dc.description.abstract (摘要) We prove limit laws for the number of occurrences of a pattern on the fringe of a ranked tree-child network which is picked uniformly at random. Our results extend the limit law for cherries proved by Bienvenu et al. (Random Struct. Algoritm. 60 (2022), no. 4, 653–689). For patterns of height 1 and 2, we show that they either occur frequently (mean is asymptotically linear and limit law is normal) or sporadically (mean is asymptotically constant and limit law is Poisson) or not all (mean tends to 0 and limit law is degenerate). We expect that these are the only possible limit laws for any fringe pattern.
dc.format.extent 97 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Random Structures & Algorithms, Vol.64, No.1, pp.15-37
dc.subject (關鍵詞) limit law; method of moments; pattern; Phylogenetic net-work; ranked tree-child network; tree-child network
dc.title (題名) Limit theorems for patterns in ranked tree-child networks
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1002/rsa.21177
dc.doi.uri (DOI) https://doi.org/10.1002/rsa.21177