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Escape rates and Hausdorff dimension of Julia sets

โœ Scribed by Bruno Eckhardt

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
492 KB
Volume
3
Category
Article
ISSN
0960-0779

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โœฆ Synopsis

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)].

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