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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120430428X |
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| _version_ | 1849395376250945536 |
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| author | J. Leonel Rocha J. Sousa Ramos |
| author_facet | J. Leonel Rocha J. Sousa Ramos |
| author_sort | J. Leonel Rocha |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-aba44a36bbca408fbd787a2537264330 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-aba44a36bbca408fbd787a25372643302025-08-20T03:39:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004382019203810.1155/S016117120430428XWeighted kneading theory of one-dimensional maps with a holeJ. Leonel Rocha0J. Sousa Ramos1Secção de Matemática, Departamento de Engenharia Química, Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, Lisboa 1949-014, PortugalDepartamento de Matemática, Instituto Superior Técnico, avenida Rovisco Pais 1, Lisboa 1049-001, PortugalThe 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.http://dx.doi.org/10.1155/S016117120430428X |
| spellingShingle | J. Leonel Rocha J. Sousa Ramos Weighted kneading theory of one-dimensional maps with a hole International Journal of Mathematics and Mathematical Sciences |
| title | Weighted kneading theory of one-dimensional maps with a hole |
| title_full | Weighted kneading theory of one-dimensional maps with a hole |
| title_fullStr | Weighted kneading theory of one-dimensional maps with a hole |
| title_full_unstemmed | Weighted kneading theory of one-dimensional maps with a hole |
| title_short | Weighted kneading theory of one-dimensional maps with a hole |
| title_sort | weighted kneading theory of one dimensional maps with a hole |
| url | http://dx.doi.org/10.1155/S016117120430428X |
| work_keys_str_mv | AT jleonelrocha weightedkneadingtheoryofonedimensionalmapswithahole AT jsousaramos weightedkneadingtheoryofonedimensionalmapswithahole |