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Title:	Factor map, diamond and density of pressure functions
Authors:	班榮超 Ban, Jung-Chao Chang, Chih-Hung
Contributors:	應數系
Keywords:	Sofic shift
Date:	2011-05
Issue Date:	2020-06-22 13:41:12 (UTC+8)
Abstract:	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.
Relation:	Proceedings of the American Mathematical Society, Vol.139, No.11, pp.3985-3997
Data Type:	article
DOI link:	http://dx.doi.org/10.1090/S0002-9939-2011-10803-7
DOI:	10.1090/S0002-9939-2011-10803-7
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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