Connectedness locus for pairs of affine maps and zeros of power series

DOI10.4171/JFG/22zbMath1331.28021arXiv1407.2563OpenAlexW2963226462MaRDI QIDQ887521

B. M. Solomyak

Publication date: 26 October 2015

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2563

zbMATH Keywords

self-affine setsconnectedness locuszeros of power series

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Fractals (28A80)

Related Items (2)

On a family of self-affine sets: Topology, uniqueness, simultaneous expansions ⋮ Computing Garsia entropy for Bernoulli convolutions with algebraic parameters ^*

Cites Work

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• On the Mandelbrot set for pairs of linear maps
• Overlapping self-affine sets
• On the structure of self-similar sets
• Measure and dimension for some fractal families
• Multiple Roots of [−1, 1 Power Series]
• Zeros of {-1, 0, 1} Power Series and Connectedness Loci for Self-Affine Sets

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