Weighted kneading theory of unidimensional maps with holes

Details Weighted kneading theory of unidimensional maps with holes Weighted kneading theory of unidimensional maps with holes

2003-02-28

arxiv.org/abs/math/0302354v2

Mathematics

Dynamical Systems

19 pages

Scientific paper

The purpose of this paper is to present a weighted kneading theory for unidimensional maps with holes. We consider extensions of the kneading theory of Milnor and Thurston to expanding discontinuous maps with holes and introduce weights in the formal power series. This method allows us to derive techniques to compute explicitly the topological entropy, the Hausdorff dimension and the escape rate.

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