Abstract
For each complex μ, denote by F(μ) the largest bounded set in the complex plane that is invariant under the action of the map z → f(z) = z2-μ. M 1980n{C3} and M 1982F{FGN}, Chapter 19 {C4} reported various remarkable properties of the M0 set (the set of those values of the complex μ for which F(μ) contains domains) and of the closure ℳ of ℳ0. {P.S. 2003: see Chapter foreword.} The goals of this work are as follows.
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© 2004 Benoit B. Mandelbrot
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Mandelbrot, B.B. (2004). The complex quadratic map and its ℳ-set. In: Fractals and Chaos. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4017-2_5
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DOI: https://doi.org/10.1007/978-1-4757-4017-2_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1897-0
Online ISBN: 978-1-4757-4017-2
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