Weighted kneading theory of one-dimensional maps with a hole

J. Leonel Rocha and J. Sousa Ramos

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-20

Abstract:

The purpose of this paper is to present a weighted kneading theory for one-dimensional maps with a hole. We consider extensions of the kneading theory of Milnor and Thurston to expanding discontinuous maps with a hole 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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:787398

DOI: 10.1155/S016117120430428X

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