Escape rates and Hausdorff dimension of
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Bruno Eckhardt
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Article
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1993
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Elsevier Science
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English
β 492 KB
Periodic orbits and zeta functions are used to compute the rate of escape from Julia sets and their Hausdorff dimension for the one parameter family of complex analytic maps z --) z'? + c. The results are compared with the perturbative expansions of Widom et al. [/. Sfut. Phys. 32, 443 (1983)].