Weighted kneading theory of one-dimensional maps with a hole
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120430428X |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |