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arxiv: 0907.0011 · v1 · submitted 2009-06-30 · 🧮 math.DS · math.CV

Distribution of polynomials with cycles of given multiplier

classification 🧮 math.DS math.CV
keywords multiplierpolynomialsbifurcationcurrentcyclecyclesdefineddegree
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In the family of degree $d$ polynomials the hypersurfaces defined by the existence of a cycle of period $n$ and multiplier $e^{i\theta}$ are shown to equiditribute the bifurcation current.

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