Displaying similar documents to “Développement en fraction continue à l'entier supérieur, idéaux 0-réduits et un problème d'Eisenstein”

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.

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...

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.