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Vietnam Journal of Mathematics 33:3 (2005) 283-289

 Continuity of Julia Sets and Hausdorff Dimension of Polynomials

Zhuang Wei

Abstract.  We study the continuity of Julia set of some rational maps and the stability of the Hausdorff dimension of the Julia set of polynomials z^d + c (d 2) for some semi-hyperbolic parameters c in the boundary of the generalized Mandelbrot set.

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Published by Springer since January 2013