On discs contained in filled Julia sets

We present some results concerning closed discs contained in the filled Julia sets associated with polynomials f c : z - z 2 + c mostly for c -2, 1 4 but also some other values.We investigate also a few non-autonomous Julia sets.As an application we prove that the pluricomplex Green function associated with the non-autonomous Julia set of the sequence

Publication Details

Journal
Homo Politicus (Academy of Humanities and Economics in Lodz)
Published
2025-03-24
DOI
https://doi.org/10.25430/pupj-drna-2025-1-3
Citations
1
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
3.69
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article

On discs contained in filled Julia sets

1 citations
Homo Politicus (Academy of Humanities and Economics in Lodz)
Mathematical Dynamics and Fractals
3.69
article

On discs contained in filled Julia sets

article en
1 citations

Abstract

We present some results concerning closed discs contained in the filled Julia sets associated with polynomials f c : z - z 2 + c mostly for c -2, 1 4 but also some other values.We investigate also a few non-autonomous Julia sets.As an application we prove that the pluricomplex Green function associated with the non-autonomous Julia set of the sequence

Homo Politicus (Academy of Humanities and Economics in Lodz)
Gender equality
Openalex Percentile: Top 6%
Mathematical Dynamics and Fractals
3.69
DOIOpen Access PDFOpenAlex
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