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)].
Efficient computation of Julia sets and their fractal dimension
โ Scribed by Dietmar Saupe
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 818 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0167-2789
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