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Logarithmic capacity and renormalizability for landing on the Mandelbrot set
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UNSPECIFIED (1996) Logarithmic capacity and renormalizability for landing on the Mandelbrot set. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 28 (Part 5). pp. 521-526. ISSN 0024-6093.
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Abstract
We study renormalizability of external angles of the Mandelbrot set M. Estimates are made of the logarithmic capacity of sets of angles that are infinitely renormalizable with a specific sequence of periods, using a substitution due to Douady. These show that many of the infinitely renormalizable rays do land on M, which provides further evidence in support of the conjecture that M is locally connected.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | ||||
Publisher: | LONDON MATH SOC | ||||
ISSN: | 0024-6093 | ||||
Official Date: | September 1996 | ||||
Dates: |
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Volume: | 28 | ||||
Number: | Part 5 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 521-526 | ||||
Publication Status: | Published |
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