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Comportement local moyen de la fonction de Brjuno

Michel Balazard; Bruno Martin

Fundamenta Mathematicae (2012)

  • Volume: 218, Issue: 3, page 193-224
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Michel Balazard, and Bruno Martin. "Comportement local moyen de la fonction de Brjuno." Fundamenta Mathematicae 218.3 (2012): 193-224. <http://eudml.org/doc/282794>.

@article{MichelBalazard2012,
author = {Michel Balazard, Bruno Martin},
journal = {Fundamenta Mathematicae},
keywords = {Bryuno function; Bryuno numbers; Lebesgue set; continued fractions},
language = {fre},
number = {3},
pages = {193-224},
title = {Comportement local moyen de la fonction de Brjuno},
url = {http://eudml.org/doc/282794},
volume = {218},
year = {2012},
}

TY - JOUR
AU - Michel Balazard
AU - Bruno Martin
TI - Comportement local moyen de la fonction de Brjuno
JO - Fundamenta Mathematicae
PY - 2012
VL - 218
IS - 3
SP - 193
EP - 224
LA - fre
KW - Bryuno function; Bryuno numbers; Lebesgue set; continued fractions
UR - http://eudml.org/doc/282794
ER -

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