Conformal measures and Hausdorff dimension for infinitely renormalizable quadratic polynomials |
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| Authors: | Eduardo A. Prado |
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| Affiliation: | (1) Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, CEP 05315-970 São Paulo, Brazil |
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| Abstract: | We show in this paper that iff is a quadratic infinitely many times renormalizable polynomial of sufficient high combinatorial type, then: HD (J(f))= inf{ : -conformal measure for f} We use Lyubich's construction of the principal nest ([Lyu97]) in order to prove this result.Partially supported by CNP q-Brazil grant # 300534/96-5 |
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| Keywords: | conformal measures Hausdorff dimension polynomial dynamics |
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