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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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10.1016/0167-5699(87)90862-0

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1432-0916

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Hausdorff Dimension of Julia Sets of Feigenbaum Po

Authors: Genadi Levin Grzegorz Światek
Publish Date: 2005/03/22
Volume: 258, Issue: 1, Pages: 135-148
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Abstract

We consider unimodal polynomials with Feigenbaum topological type and critical points whose orders tend to infinity It is shown that the hyperbolic dimensions of their Julia set go to 2 furthermore that the Hausdorff dimensions of the basins of attraction of their Feigenbaum attractors also tend to 2 The proof is based on constructing a limiting dynamics with a flat critical point

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  19. On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble
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