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Hausdorff dimension of quadratic rational Julia sets

โœ Scribed by Zhou, Jia; Liao, Liang Wen

Book ID
121338765
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2013
Tongue
English
Weight
256 KB
Volume
30
Category
Article
ISSN
1439-7617

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๐Ÿ“œ SIMILAR VOLUMES

Escape rates and Hausdorff dimension of
Escape rates and Hausdorff dimension of Julia sets
โœ Bruno Eckhardt ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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)].