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Displaying similar documents to “Enumerative consequences of the symmetry of Schur functions. (Conséquences énumératives de la symétrie des fonctions de Schur.)”

Quelques résultats sur la dimension de Hausdorff des ensembles de Julia des polynômes quadratiques

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...

Sur un exemple de Banach et Kuratowski

Robert Cauty (1994)

Fundamenta Mathematicae

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For A ⊂ I = [0,1], let L A 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 F σ and whose closure has an empty interior, then L A is homeomorphic to the space of differentiable functions from I into ℝ.

Déformation J-équivalente de polynômes géometriquement finis

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.