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Julia set

Known as: Julia fractal, Fatou set, Julia Sets 
In the context of complex dynamics, a topic of mathematics, the Julia set and the Fatou set are two complementary sets (Julia 'laces' and Fatou… Expand
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Highly Cited
2000
Highly Cited
2000
This paper deals with regularized pointwise estimation of discrete signals which contain large strongly homogeneous zones, where… Expand
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Highly Cited
1994
Highly Cited
1994
We define and discuss several notions of potential functions for games in strategic form. We characterize games that have a… Expand
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Highly Cited
1994
Highly Cited
1994
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents… Expand
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Highly Cited
1993
Highly Cited
1993
KP = { z ∈ C | the sequence P ◦k(z) is bounded }. We will write Pc(z) = z2 + c, and Kc, etc., when discussing quadratic… Expand
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Highly Cited
1993
Highly Cited
1993
The long term analysis of dynamical systems inspired the study of the dynamics of families of mappings. Many of these… Expand
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Highly Cited
1993
Highly Cited
1993
Fractals are geometric or data structures which do not simplify under magnification. Fractal Image Compression is a technique… Expand
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Highly Cited
1991
Highly Cited
1991
It is shown that the boundary of the Mandelbrot set M has Hausdorff dimension two and that for a generic c E AM, the Julia set of… Expand
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Highly Cited
1991
Highly Cited
1991
Self-similarity is a profound concept that shapes many of the laws governing nature and underlying human thought. It is a… Expand
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Highly Cited
1987
Highly Cited
1987
We show the Julia set of A sin(z) has positive area and the action of A sin(z) on its Julia set is not ergodic; the Julia set of… Expand
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Highly Cited
1984
Highly Cited
1984
Dichotomie dynamique de Fatou et Julia. Points periodiques. Consequences du theoreme de Montel. L'ensemble de Julia est la… Expand
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