Connectedness locus

In one-dimensional complex dynamics, the connectedness locus is a subset of the parameter space of rational functions, which consists of those… (More)
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1992-2014
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2015
2015
The tricorn is the connectedness locus in the space of antiholomorphic quadratic polynomials z 7! z2 + c. We prove that the… (More)
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2014
2014
Yeshun Sun & Yongcheng Yin [3] and H. Ishida & T. Itoh [2] presented a precise description of the real cross section of the… (More)
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2008
2008
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 CHAPTER I. Univalent functions in complex… (More)
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2008
2008
  • HIROYUKI INOU
  • 2008
We study the parameter space structure of degree d ≥ 3 one complex variable polynomials as dynamical systems acting on C. We… (More)
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2007
2007
To classify a family of dynamical systems, we often try to describe its parameter space, in either a topological or measurable… (More)
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2005
2005
We consider the set Ω2 of double zeros in (0, 1) for power series with coefficients in {−1, 0, 1}. We prove that Ω2 is… (More)
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2005
2005
We prove that any unicritical polynomial fc : z 7→ z+c which is at most finitely renormalizable and has only repelling periodic… (More)
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1999
1999
The prevalence of Mandelbrot sets in one-parameter complex analytic families is a well-studied phenomenon in conformal dynamics… (More)
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1999
1999
We prove the Feigenbaum-Coullet-Tresser conjecture on the hyperbolicity of the renormalization transformation of bounded type… (More)
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1999
1999
We prove the Feigenbaum-Coullet-Tresser conjecture on the hyperbolicity of the renormalization transformation of bounded type… (More)
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