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A count of maximal small copies in Multibrot sets

Andrew Bridy and Rodrigo A Pérez

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Recommended by C Liverani

We give a recursive formula to count maximal small copies of the Mandelbrot set and its higher degree analogues. This formula is used to compute the asymptotic growth of the number of maximal small copies of period n.


PACS

02.40.Pc General topology

MSC

37F20 Combinatorics and topology

Subjects

Mathematical physics

Dates

Issue 5 (September 2005)

Received 31 December 2004, in final form 25 April 2005

Published 27 May 2005



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