The spectrum of singularities of Riemann's function.

Jaffard, Stephane. "The spectrum of singularities of Riemann's function.." Revista Matemática Iberoamericana 12.2 (1996): 441-460. <http://eudml.org/doc/39503>.

@article{Jaffard1996,
abstract = {We determine the Hölder regularity of Riemann's function at each point; we deduce from this analysis its spectrum of singularities, thus showing its multifractal nature.},
author = {Jaffard, Stephane},
journal = {Revista Matemática Iberoamericana},
keywords = {Funciones modulares; Fracciones continuas; Función de Riemann; Desigualdad de Hölder; Ondículas; Singularidades; Geometría fractal; Hölder regularity; Hausdorff dimension; wavelet; continued fractions; Riemann's function},
language = {eng},
number = {2},
pages = {441-460},
title = {The spectrum of singularities of Riemann's function.},
url = {http://eudml.org/doc/39503},
volume = {12},
year = {1996},
}

TY - JOUR
AU - Jaffard, Stephane
TI - The spectrum of singularities of Riemann's function.
JO - Revista Matemática Iberoamericana
PY - 1996
VL - 12
IS - 2
SP - 441
EP - 460
AB - We determine the Hölder regularity of Riemann's function at each point; we deduce from this analysis its spectrum of singularities, thus showing its multifractal nature.
LA - eng
KW - Funciones modulares; Fracciones continuas; Función de Riemann; Desigualdad de Hölder; Ondículas; Singularidades; Geometría fractal; Hölder regularity; Hausdorff dimension; wavelet; continued fractions; Riemann's function
UR - http://eudml.org/doc/39503
ER -