Mandelbrot set

Known as: MLC, Mandelbrot, Mandlebrot fractal 
The Mandelbrot set is the set of complex numbers c for which the function does not diverge when iterated from , i.e., for which the sequence , , etc… (More)
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2010
2010
  • Javier Barrallo
  • 2010
When in 1980 Benoit Mandelbrot described the z→z+c formula, many mathematicians and programmers tried to expand the Mandelbrot… (More)
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2009
2009
Superior Mandelbrot sets, a new class of Mandelbrot sets, have recently been studied for the first time by Rani and Kumar. Indeed… (More)
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Highly Cited
2007
Highly Cited
2007
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org… (More)
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2006
2006
The Mandelbrot set is an infinitely complex fractal defined by a simple iterative algorithm operating on the complex numbers… (More)
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2005
2005
We discuss the question whether the Mandelbrot set is computable. The computability notions which we consider are studied in… (More)
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2004
2004
The Mandelbrot set M is "self-similar" about any Misiurewicz point c in the sense that if we examine a neighborhood of c in M… (More)
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Highly Cited
2001
Highly Cited
2001
In this paper the Zipf–Mandelbrot law is revisited in the context of linguistics. Despite its widespread popularity the Zipf… (More)
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Highly Cited
1998
Highly Cited
1998
It is shown that the boundary of the Mandelbrot set M has Hausdorff dimension two and that for a generic c ∈ ∂M , the Julia set… (More)
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1997
1997
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of rational maps. 
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1995
1995
We give a new proof that all external rays of the Mandelbrot set at rational angles land, and of the relation between the… (More)
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