Topological, Geometric and Complex Analytic Properties of Julia Sets

Mitsuhiro Shishikura
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Mitsuhiro Shishikura: The University of Tokyo, Department of Mathematical Sciences

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 886-895 from Springer

Abstract: Abstract In this paper, we discuss several aspects of Julia sets, as well as those of the Mandelbrot set. We are interested in topological properties such as connectivity and local connectivity, geometric properties such as Hausdorff dimension and Lebesgue measure, and complex analytic properties such as holomorphic removability.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_81

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DOI: 10.1007/978-3-0348-9078-6_81

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