Markov partition in non-hyperbolic interval dynamics |
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Authors: | Edson Vargas |
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Institution: | (1) Departmento de Matemática, PUC/RJ, 22453 Rio de Janeiro, RJ, Brazil |
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Abstract: | We considerC
2 unimodal mapsf such that all periodic points are hyperbolic, the critical point is non-degenerated and non-recurrent, and the Julia set does not contain intervals. We construct a Markov partition for a big part of the Julia set. Then we use it to estimate the limit capacity and Hausdorff dimension of the Julia set.Partially supported by CNPq, S.C.T.-Brazil |
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Keywords: | |
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