Dérivées et différences divisées à valeurs entières
Jean-Luc Chabert (1993)
Acta Arithmetica
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Jean-Luc Chabert (1993)
Acta Arithmetica
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Pierre Kaplan, Yoshio Mimura (1996)
Acta Arithmetica
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Peter Haïssinsky (2000)
Fundamenta Mathematicae
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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.
Robert Cauty (1994)
Fundamenta Mathematicae
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For A ⊂ I = [0,1], let be the set of continuous real-valued functions on I which vanish on a neighborhood of A. We prove that if A is an analytic subset which is not an and whose closure has an empty interior, then is homeomorphic to the space of differentiable functions from I into ℝ.
Toufik Zaïmi (1998)
Acta Arithmetica
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Foata, Dominique (1986)
Séminaire Lotharingien de Combinatoire [electronic only]
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Olivier Bodart, Michel Zinsmeister (1996)
Fundamenta Mathematicae
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This paper deals with the Hausdorff dimension of the Julia set of quadratic polynomials. It is divided in two parts. The first aims to compute good numerical approximations of the dimension for hyperbolic points. For such points, Ruelle’s thermodynamical formalism applies, hence computing the dimension amounts to computing the zero point of a pressure function. It is this pressure function that we approximate by a Monte-Carlo process combined with a shift method that considerably decreases...
Mohamed Kerada (1995)
Acta Arithmetica
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Robert Cauty (1994)
Fundamenta Mathematicae
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We prove that a metric space is an ANR if, and only if, every open subset of X has the homotopy type of a CW-complex.
Pierre Kaplan, Yoshio Mimura (1997)
Acta Arithmetica
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