A short proof of a theorem of Ruelle |
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| Authors: | Manfred Denker Christoph Seck |
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| Affiliation: | (1) Institut für Mathematische Stochastik, Universität Göttingen, Lotzestrasse 13, D-3400 Göttingen, Federal Republic of Germany |
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| Abstract: | Using the existence of conformal measures in the sense ofSullivan [4] andDenker, Urba ski [2] we give a simple proof of Ruelle's Theorem, that the Hausdorff dimension of a hyperbolic Julia set is the solution of the equationP(R,–tlog|R |)=0. |
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