In one-dimensional complex dynamics, the connectedness locus is a subset of the parameter space of rational functions, which consists of thoseâ€¦Â (More)

Semantic Scholar uses AI to extract papers important to this topic.

2015

2015

The tricorn is the connectedness locus in the space of antiholomorphic quadratic polynomials z 7! z2 + c. We prove that theâ€¦Â (More)

Is this relevant?

2014

2014

Yeshun Sun & Yongcheng Yin [3] and H. Ishida & T. Itoh [2] presented a precise description of the real cross section of theâ€¦Â (More)

Is this relevant?

2008

2008

- BODIL BRANNER, John H. Hubbard
- 2008

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 CHAPTER I. Univalent functions in complexâ€¦Â (More)

Is this relevant?

2008

2008

- HIROYUKI INOU
- 2008

We study the parameter space structure of degree d â‰¥ 3 one complex variable polynomials as dynamical systems acting on C. Weâ€¦Â (More)

Is this relevant?

2007

2007

- Yeshun Sun, Yongcheng Yin
- I. J. Bifurcation and Chaos
- 2007

To classify a family of dynamical systems, we often try to describe its parameter space, in either a topological or measurableâ€¦Â (More)

Is this relevant?

2005

2005

- Boris Solomyak
- 2005

We consider the set Î©2 of double zeros in (0, 1) for power series with coefficients in {âˆ’1, 0, 1}. We prove that Î©2 isâ€¦Â (More)

Is this relevant?

2005

2005

- Jeremy I. Kahn
- 2005

We prove that any unicritical polynomial fc : z 7â†’ z+c which is at most finitely renormalizable and has only repelling periodicâ€¦Â (More)

Is this relevant?

1999

1999

The prevalence of Mandelbrot sets in one-parameter complex analytic families is a well-studied phenomenon in conformal dynamicsâ€¦Â (More)

Is this relevant?

1999

1999

We prove the Feigenbaum-Coullet-Tresser conjecture on the hyperbolicity of the renormalization transformation of bounded typeâ€¦Â (More)

Is this relevant?

1999

1999

We prove the Feigenbaum-Coullet-Tresser conjecture on the hyperbolicity of the renormalization transformation of bounded typeâ€¦Â (More)

Is this relevant?