Abstract

We consider intermittent dynamical systems on [0, 1] with two laminar states A and B. The dynamical systems considered in this article are the iterates Tk of mappings T from [0, 1] onto itself. The trajectory {Tk(x)} k=0 n belongs to A and B for an extremely long time. We study the limit of the ratio of the sojourn time of the trajectory {Tk(x)} k=0 n in A to that in B. The dynamical systems mainly studied in this paper have ergodic infinite invariant measures.

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