Displaying similar documents to “Sur un exemple de Banach et Kuratowski”

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...

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.

Thom polynomials and Schur functions: the singularities I 2 , 2 ( - )

Piotr Pragacz (2007)

Annales de l’institut Fourier

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We give the Thom polynomials for the singularities I 2 , 2 associated with maps ( ℂ • , 0 ) → ( ℂ • + k , 0 ) with parameter k ≥ 0 . Our computations combine the characterization of Thom polynomials via the “method of restriction equations” of Rimanyi et al. with the techniques of Schur functions.