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A note on specification for iterated function systems

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  • We introduce several notions of specification for iterated function systems and exhibit some of their dynamical properties. In particular, we show that topological entropy and algebraic pressure [4] of systems with specification are approximable by the corresponding expressions for finitely generated iterated function systems.
    Mathematics Subject Classification: 28D20, 28D99, 37A25, 37A30, 37B40, 37C30, 37D35.

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    M. Denker and M. Yuri, Conformal families of measures for general iterated function systems, Contemporary Math., 631 (2015), 93-108.doi: 10.1090/conm/631/12598.

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    P. Walters, An Introduction to Ergodic Theory, Graduate Texts in Mathematics, 79, Springer-Verlag, New York-Berlin, 1982.

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