Perturbations d'exemples de Latt `es et dimension de Hausdorff du lieu\n de bifurcation

2016/10/27 by François Berteloot, Berteloot, François, Fabrizio Bianchi +1
Computer Science · Mathematics · #32H50 #37F45 #37H15 #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Modeling in Engineering #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1610.08938

openalex publication_date 2016/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an estimate for the Hausdorff dimension of the bifurcation locus of a\nfamily of endomorphisms of \ℙ^k (\ℂ). This dimension is\nmaximal near isolated Latt `es examples.\n

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