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Currently displaying 1 – 4 of 4

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Sur certains ensembles normaux

J.-P. Borel — 1989

Journal de théorie des nombres de Bordeaux

$Λ$ étant une suite de nombres réels, soit $B (Λ)$ l’ensemble normal associé. Pour $A \subset ℝ$ , nous étudions la question : existe-t-il une suite $Λ$ à valeurs dans un intervalle borné $I$ telle que $A = B (Λ)$ ? Dans l’affirmative, nous cherchons alors à minimiser la longueur de l’intervalle $I$ . Dans les cas les plus simples, où $A \subset ℤ$ , ce problème se ramène à minimiser le degré de $Q \in ℝ [X]$ , avec la contrainte « $P Q$ a tous ses coefficients positifs», pour des polynômes $P$ de type très particulier associés aux ensembles $A$ .

Equirépartition modulo 1 de la suite (a xn } où x décrit un semi-groupe additif de nombres réels.

Seminaire de Théorie des Nombres de Bordeaux

Suites et mesures auto-similaires

Seminaire de Théorie des Nombres de Bordeaux

Quelques mots sur la droite projective réelle

J.-P. Borel; F. Laubie — 1993

Journal de théorie des nombres de Bordeaux

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