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Hausdorff dimension 2 for Julia sets of quadratic polynomials

✍ Scribed by Stefan-M. Heinemann; Bernd O. Stratmann

Publisher
Springer-Verlag
Year
2001
Tongue
French
Weight
208 KB
Volume
237
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES

Escape rates and Hausdorff dimension of
Escape rates and Hausdorff dimension of Julia sets
✍ 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)].