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Any geometrically finite polynomial f of degree d ≥ 2 with connected Julia set is accessible by structurally stable sub-hyperbolic polynomials of the same degree. Moreover, they are topologically conjugate to f on their Julia sets. Soit f : C→ C un polynôme de degré d ≥ 2. Rappelons que l’on définit son ensemble de Julia rempli K(f) comme l’ensemble des points qui ne sont pas attirés par l’infini par itération et son ensemble de Julia par J(f) = ∂K(f). Soient C(f) = {f ′ = 0} son ensemble critique et

Déformation J-équivalente de polynômes géometriquement finis