Hausdorff dimension 2 for Julia sets of quadratic polynomials

S-M Heinemann; Bernd O Stratmann

doi:10.1007/PL00004881

Hausdorff dimension 2 for Julia sets of quadratic polynomials

S-M Heinemann, Bernd O Stratmann

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	571-583
Number of pages	13
Journal	Mathematische Zeitschrift
Volume	237
Issue number	3
DOIs	https://doi.org/10.1007/PL00004881
Publication status	Published - Jul 2001

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abstract = "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.",

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Hausdorff dimension 2 for Julia sets of quadratic polynomials

Abstract

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