Distribution of polynomials with cycles of given multiplier

2009/06/30 by Giovanni Bassanelli, Bassanelli, Giovanni, François Berteloot +1 · 1 citation
Mathematics · #37F10 #37F45 #Advanced Differential Equations and Dynamical Systems #Analytic Number Theory Research #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.0907.0011

openalex publication_date 2009/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the family of degree d polynomials the hypersurfaces defined by the existence of a cycle of period n and multiplier e^iθ are shown to equiditribute the bifurcation current.

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• Analyticity of the Hausdorff dimension and metric structures on Misiurewicz families of polynomials

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