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1. The bounds of the general M and J sets and the estimations for the Hausdorff’s dimension of the general J set.

Author

Xiang-dong, Liu, De-jun, Yan, Wei-yong, Zhu, and Guang-xing, Wang

Subjects
*MANDELBROT sets, *JULIA sets, *ESTIMATION theory, *NONLINEAR theories, *ALGORITHMS, *HAUSDORFF measures, *COMPLEX numbers
Abstract

The bounds of the general M and J sets were analytically offered. Some of the bounds were optimal in certain meaning. It not only solved the primary problem of the construction of fractal sets by escape time algorithm, and followed from the conclusion, but also offered two estimations of some special Julia set’s Hausdorff’s dimension by approximate linearization method. [ABSTRACT FROM AUTHOR]

Published
2001
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