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題名 Large deviation principle of multiplicative Ising models on Markov-Cayley trees
作者 班榮超
Ban, Jung-Chao;Hu, Wen-Guei;Zhang, Zongfan
貢獻者 應數系
關鍵詞 Large deviation principle; Free energy; Multiplicative Ising models
日期 2024-03
上傳時間 24-May-2024 11:34:17 (UTC+8)
摘要 In this paper, we study the large deviation principle (LDP) for two types (Type I and Type II) of multiplicative Ising models. For Types I and II, the explicit formulas for the free energy functions and the associated rate functions are derived. Furthermore, we prove that those free energy functions are differentiable, which indicates that both systems are characterized by a lack of phase transition phenomena.
關聯 Indagationes Mathematicae, Vol.35, No.2, pp.390-406
資料類型 article
DOI https://doi.org/10.1016/j.indag.2024.03.005
dc.contributor 應數系
dc.creator (作者) 班榮超
dc.creator (作者) Ban, Jung-Chao;Hu, Wen-Guei;Zhang, Zongfan
dc.date (日期) 2024-03
dc.date.accessioned 24-May-2024 11:34:17 (UTC+8)-
dc.date.available 24-May-2024 11:34:17 (UTC+8)-
dc.date.issued (上傳時間) 24-May-2024 11:34:17 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/151269-
dc.description.abstract (摘要) In this paper, we study the large deviation principle (LDP) for two types (Type I and Type II) of multiplicative Ising models. For Types I and II, the explicit formulas for the free energy functions and the associated rate functions are derived. Furthermore, we prove that those free energy functions are differentiable, which indicates that both systems are characterized by a lack of phase transition phenomena.
dc.format.extent 107 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Indagationes Mathematicae, Vol.35, No.2, pp.390-406
dc.subject (關鍵詞) Large deviation principle; Free energy; Multiplicative Ising models
dc.title (題名) Large deviation principle of multiplicative Ising models on Markov-Cayley trees
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1016/j.indag.2024.03.005
dc.doi.uri (DOI) https://doi.org/10.1016/j.indag.2024.03.005