Distribution of polynomials with cycles of given multiplier
classification
🧮 math.DS
math.CV
keywords
multiplierpolynomialsbifurcationcurrentcyclecyclesdefineddegree
read the original abstract
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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