DYNAMICAL PROPERTIES ON ITERATED FUNCTION SYSTEMS

Abstract

Let X be a compact space and Λ a finite index set. We deal with dynamical properties of iterated function systems on X. For an iterated function system F on X, we prove that F is c-expansive if and only if F k is also c-expansive for each k ∈ N. Furthermore we prove that the c-expansiveness of F is equivalent to the original expansiveness of the shift map of it.

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