Hausdorff dimension 2 for Julia sets of quadratic polynomials

被引：0

作者：

Stefan-M. Heinemann

Bernd O. Stratmann

机构：

[1] TU Clausthal,

[2] Institut für Theoretische Physik,undefined

[3] D-38678 Clausthal-Zellerfeld,undefined

[4] Germany (e-mail: Stefan.Heinemann@TU-Clausthal.DE) ,undefined

[5] University of St Andrews,undefined

[6] Mathematical Institute,undefined

[7] St Andrews,undefined

[8] KY16 9SS,undefined

[9] Scotland (e-mail: bos@st-and.ac.uk) ,undefined

来源：

Mathematische Zeitschrift | 2001年 / 237卷

关键词：

Hausdorff Dimension; Quadratic Polynomial;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider families of quadratic polynomials which admit parameterisations in a neighbourhood of the boundary of the Mandelbrot set. We show how to find parameters such that the associated Julia sets are of Hausdorff dimension 2.

引用

页码：571 / 583

页数：12

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