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Periodic points of complex quadratic mappings

Known as: Periodic Points Julia Set 
This article describes periodic points of some complex quadratic maps. A map is a formula for computing a value of a variable based on its own… Expand
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Papers overview

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2013
2013
We study the geometry of the Margulis region associated with an irrational screw translation $$g$$g acting on the $$4$$4… Expand
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2012
2012
Let $\mathcal{P}$ be a locally finite circle packing in the plane ℂ invariant under a non-elementary Kleinian group Γ and with… Expand
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2011
2011
In this paper we introduce the notion of parabolic-like mapping, which is an object similar to a polynomial-like mapping, but… Expand
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2006
2006
For holomorphic maps of one variable with a parabolic fixed point, the parabolic renormalization R0 is defined in terms of Fatou… Expand
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2004
2004
Notation and main results Analytic properties of the homoclinic orbit of the unperturbed system Parameterization of local… Expand
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2002
2002
We analyze a real one-parameter family of quasiconformal deformations of a hyperbolic rational map known as spinning. We show… Expand
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Highly Cited
1999
Highly Cited
1999
We study convergence group actions on continua, and give a criterion which ensures that every global cut point is a parabolic… 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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1979
1979
A sufficient condition on a geometrically finite Kleinian group G is shown, under which any type-preserving isomorphism from G… Expand
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Highly Cited
1974
Highly Cited
1974
Let G be a discrete subgroup of SL(2, C)/{• 1}. Then G operates as a discontinuous group of isometrics on hyperbolic 3-space… Expand
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