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題名 Factor map, diamond and density of pressure functions
作者 班榮超
Ban, Jung-Chao
Chang, Chih-Hung
貢獻者 應數系
關鍵詞 Sofic shift
日期 2011-05
上傳時間 22-Jun-2020 13:41:12 (UTC+8)
摘要 Letting π: X → Y be a one-block factor map and Φ be an almostadditive potential function on X, we prove that if π has diamond, then the pressure P(X, Φ) is strictly larger than P(Y, πΦ). Furthermore, if we define the ratio ρ(Φ) = P(X, Φ)/P(Y, πΦ), then ρ(Φ) > 1 and it can be proved that there exists a family of pairs {(πi,Xi)}ki=1 such that πi: Xi → Y is a factor map between Xi and Y, Xi ⊆ X is a subshift of finite type such that ρ(πi,Φ{pipe}Xi) (the ratio of the pressure function for P(Xi,Φ{pipe}Xi) and P(Y, πΦ)) is dense in [1, ρ(Φ)]. This extends the result of Quas and Trow for the entropy case.
關聯 Proceedings of the American Mathematical Society, Vol.139, No.11, pp.3985-3997
資料類型 article
DOI http://dx.doi.org/10.1090/S0002-9939-2011-10803-7
dc.contributor 應數系-
dc.creator (作者) 班榮超-
dc.creator (作者) Ban, Jung-Chao-
dc.creator (作者) Chang, Chih-Hung-
dc.date (日期) 2011-05-
dc.date.accessioned 22-Jun-2020 13:41:12 (UTC+8)-
dc.date.available 22-Jun-2020 13:41:12 (UTC+8)-
dc.date.issued (上傳時間) 22-Jun-2020 13:41:12 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/130193-
dc.description.abstract (摘要) Letting π: X → Y be a one-block factor map and Φ be an almostadditive potential function on X, we prove that if π has diamond, then the pressure P(X, Φ) is strictly larger than P(Y, πΦ). Furthermore, if we define the ratio ρ(Φ) = P(X, Φ)/P(Y, πΦ), then ρ(Φ) > 1 and it can be proved that there exists a family of pairs {(πi,Xi)}ki=1 such that πi: Xi → Y is a factor map between Xi and Y, Xi ⊆ X is a subshift of finite type such that ρ(πi,Φ{pipe}Xi) (the ratio of the pressure function for P(Xi,Φ{pipe}Xi) and P(Y, πΦ)) is dense in [1, ρ(Φ)]. This extends the result of Quas and Trow for the entropy case.-
dc.format.extent 230179 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Proceedings of the American Mathematical Society, Vol.139, No.11, pp.3985-3997-
dc.subject (關鍵詞) Sofic shift-
dc.title (題名) Factor map, diamond and density of pressure functions-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1090/S0002-9939-2011-10803-7-
dc.doi.uri (DOI) http://dx.doi.org/10.1090/S0002-9939-2011-10803-7-