On the `Mandelbrot set' for a pair of linear maps and complex Bernoulli convolutions

DOI10.1088/0951-7715/16/5/311zbMath1040.28015arXivmath/0209229OpenAlexW3099174010MaRDI QIDQ4466388

Hui Xu, B. M. Solomyak

Publication date: 9 June 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209229

zbMATH Keywords

attractorsHausdorff dimensioniterated function systemself-similar setsIFSinfinite Bernoulli convolutionscomplex analogues

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Fractals (28A80) Real polynomials: location of zeros (26C10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Hausdorff and packing measures (28A78)

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