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Thermodynamic Formalism and Variations of the Hausdorff Dimension of Quadratic Julia Sets

โœ Scribed by Guillaume Havard; Michel Zinsmeister

Publisher
Springer
Year
2000
Tongue
English
Weight
200 KB
Volume
210
Category
Article
ISSN
0010-3616

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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)].