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The exact hausdorff dimension of a branching set

โœ Scribed by Quanshing Liu


Publisher
Springer
Year
1996
Tongue
English
Weight
912 KB
Volume
104
Category
Article
ISSN
1432-2064

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Escape rates and Hausdorff dimension of
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)].