Comportement local moyen de la fonction de Brjuno

• Autorzy: Michel Balazard , Bruno Martin
• Języki publikacji: FR EN

Abstrakty

EN

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

Kategorie tematyczne

• 26A27: Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
• 11A55: Continued fractions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 218
• Numer: 3
• Strony: 193-224

Daty

wydano

2012

Twórcy

autor

Michel Balazard

• Institut de Mathématiques de Luminy, UMR 6206, CNRS, Aix Marseille Université, Campus de Luminy, Case 907, 13288 Marseille Cedex 9, France

autor

Bruno Martin

• Laboratoire de Mathématiques Pures, et Appliquées, CNRS, Université du Littoral Côte d'Opale, 50 rue F. Buisson, BP 599, 62228 Calais Cedex, France

Identyfikatory

DOI

10.4064/fm218-3-1