Fractals in the complex plane
Fractal Geometry

Article REF: AF218 V1

Fractals in the complex plane
Fractal Geometry

Author : Jean-Charles PINOLI

Publication date: October 10, 2017 | Lire en français

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20. Fractals in the complex plane

Fractals in the complex plane are defined by a recurrence relation (chapter 7 of , chapter 14 of ).

20.1 Fatou and Julia's sets

Julia's set (1918), noted

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Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and extensions, - North-Holland, 331 pages (1993).
(2) - ALBEVERIO (S.), PRATSIOVYTYL (M.), TORBIN (G.) - Transformations preserving the Hausdorff-Besicovitch dimension, - Central European Journal...

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