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Journal Articles Fundamenta Mathematicae Year : 2012

Comportement local moyen de la fonction de Brjuno

Abstract

We describe the average behaviour of the Brjuno function in the neighbourhood of any given point of the unit interval. In particular, we show that its Lebesgue set is the set of Brjuno numbers and we fi nd the asymptotic behaviour of the modulus of continuity of its integral.
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Dates and versions

hal-00723616 , version 1 (11-08-2012)

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Michel Balazard, Bruno Martin. Comportement local moyen de la fonction de Brjuno. Fundamenta Mathematicae, 2012, 218 (3), p. 193-224. ⟨10.4064/fm218-3-1⟩. ⟨hal-00723616⟩
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