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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: | May-2011 | 上傳時間: | 22-Jun-2020 | 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 |
Appears in Collections: | 期刊論文 |
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