FACTOR MAP, DIAMOND AND DENSITY OF PRESSURE FUNCTIONS

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题名:	FACTOR MAP, DIAMOND AND DENSITY OF PRESSURE FUNCTIONS
作者:	Ban,JC;Chang,CH
贡献者:	數學系
关键词:	FINITE-TYPE;TRANSFORMATIONS;SUBSHIFTS
日期:	2011
上传时间:	2012-03-27 18:24:35 (UTC+8)
出版者:	國立中央大學
摘要:	Letting pi : X -> Y be a one-block factor map and Phi be an almost-additive potential function on X, we prove that if pi has diamond, then the pressure P(X, Phi) is strictly larger than P(Y, pi Phi). Furthermore, if we define the ratio rho(Phi) = P(X, Phi)/P(Y,7 pi Phi), then rho(Phi) > 1 and it can be proved that there exists a family of pairs {(pi(i), X(i))}(i=1)(k) such that pi(i) : X(i) -> Y is a factor map between X(i) and Y, X(i) subset of X is a subshift of finite type such that rho(pi(i), Phi vertical bar x(i)) (the ratio of the pressure function for P(X(i), Phi vertical bar x(i)) and P(Y, pi Phi)) is dense in [1, rho(Phi)]. This extends the result of Quas and Trow for the entropy case.
關聯:	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
显示于类别:	[數學系] 期刊論文

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