Far East Journal of Dynamical Systems
Volume 6, Issue 1, Pages 79 - 96
(June 2004)
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ON A SET OF NUMBERS ARISING IN THE DYNAMICS OF UNIMODAL MAPS
Stefano Isola (Italy)
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Abstract: In this paper we initiate the study of the arithmetical properties of a set of numbers which encode the dynamics of unimodal maps in a universal way along with that of the corresponding topological zeta function. Here we are concerned, in particular, with the Feigenbaum bifurcation. |
Keywords and phrases: kneading theory, Thue-Morse sequence, zeta function. |
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