FACTOR MAP, DIAMOND AND DENSITY OF PRESSURE FUNCTIONS

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51194

Title:	FACTOR MAP, DIAMOND AND DENSITY OF PRESSURE FUNCTIONS
Authors:	Ban,JC;Chang,CH
Contributors:	數學系
Keywords:	FINITE-TYPE;TRANSFORMATIONS;SUBSHIFTS
Date:	2011
Issue Date:	2012-03-27 18:24:35 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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