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

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.