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請使用永久網址來引用或連結此文件:
https://nccur.lib.nccu.edu.tw/handle/140.119/130193
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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: | 2020-06-22 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 連結: | http://dx.doi.org/10.1090/S0002-9939-2011-10803-7 |
| DOI: | 10.1090/S0002-9939-2011-10803-7 |
| 顯示於類別: | [應用數學系] 期刊論文
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