Cubic Polynomials: a Measurable View on Parameter Space
نویسنده
چکیده
We study the fine geometric structure of bifurcation currents in the parameter space of cubic polynomials viewed as dynamical systems. In particular we prove that these currents have some laminar structure in a large region of parameter space, reflecting the possibility of quasiconformal deformations. On the other hand, there is a natural bifurcation measure, supported on the closure of rigid parameters. We prove a strong non laminarity statement relative to this measure.
منابع مشابه
The iteration of cubic polynomials Part I: The global topology of parameter space
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 CHAPTER I. Univalent functions in complex analytic dynamics . . . . . . 147 1. Attraction to infinity . . . . . . . . . . . . . . . . . . . . . . . 147 2. Parametrizing the space of polynomials . . . . . . . . . . . . . 150 3. Compactness of the connectedness locus . . . . . . . . . . . . 153 4. The mapping q~e is ...
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