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Hausdorff dimension and conformal measures of Feigenbaum Julia sets

✍ Scribed by Avila, Artur; Lyubich, Mikhail

Book ID
125872975
Publisher
American Mathematical Society
Year
2007
Tongue
English
Weight
571 KB
Volume
21
Category
Article
ISSN
0894-0347

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Escape rates and Hausdorff dimension of
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✍ Bruno Eckhardt πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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)].