P. C. Allaart and K. Kawamura, The Takagi function: a survey, Real Anal, Exchange, vol.37, issue.1, pp.1-54, 2011.

. M. Ab, Y. Amou, and . Bugeaud, Exponents of Diophantine approximation and expansions in integer bases, J. London Math. Soc, vol.81, issue.2, pp.297-316, 2010.

. P. Cz-]-a, A. Calderón, and . Zygmund, Local properties of solutions of elliptic partial differential equations, Studia Math, vol.20, pp.171-227, 1961.

. [. Ciesielski, On the isomorphisms of the spaces H, and M, Bull. Acad. Polon. Sci. Skr. Sci. Math. Astronom. Phys, vol.8, pp.217-222, 1960.

. [. Ciesielski, Fractal functions and Schauder bases, Computers & Mathematics with Applications, vol.30, issue.3-6, pp.283-291, 1995.
DOI : 10.1016/0898-1221(95)00107-7

URL : http://doi.org/10.1016/0898-1221(95)00107-7

. [. Ciesielski, Spline orthogonal systems and fractal functions, Acta Mathematica Hungarica, vol.45, issue.7, pp.287-293, 1995.
DOI : 10.1007/BF01874346

. S. De, A. Dubuc, and . Elqortobi, Le maximum de la fonction de Knopp, pp.311-323, 1990.

. B. Dd, S. Dubuc, and . Dubuc, Error bounds on the estimation of fractal dimension, SIAM Journal on Numerical Analysis, vol.33, issue.2, pp.602-626, 1996.

. [. Durand, Sets with large intersection and ubiquity, Math, Proc. Cambridge Philos, pp.119-144, 2008.

S. [. Heurteaux and . Jaffard, MULTIFRACTAL ANALYSIS OF IMAGES: NEW CONNEXIONS BETWEEN ANALYSIS AND GEOMETRY, Proceedings of the NATO- ASI Conference on Imaging for Detection and Identification, 2006.
DOI : 10.1007/978-1-4020-5620-8_9

URL : https://hal.archives-ouvertes.fr/hal-00475571

]. S. Jme, C. Jaffard, and . Mélot, Wavelet analysis of fractal boundaries. Part 1: local exponents, Commun. Math. Phys, vol.258, pp.513-539, 2005.

]. S. Jma, B. Jaffard, and . Mandelbrot, Local regularity of nonsmooth wavelet expansions and application to Polya's function, Adv. Math, vol.120, issue.2, pp.265-282, 1996.

. [. Jaffard, Oscillation spaces: Properties and applications to fractal and multifractal functions, Journal of Mathematical Physics, vol.39, issue.8, pp.4129-4141, 1998.
DOI : 10.1063/1.532488

. A. Kw, B. Kamont, and . Wolnik, Wavelet expansions and fractal dimensions, Constr. Approx, vol.15, pp.97-108, 1998.

. [. Knopp, Ein einfaches Verfahren zur Bild???ng stetiger nirgends differenzierbarer Funktionen, Mathematische Zeitschrift, vol.2, issue.1-2, pp.1-26, 1918.
DOI : 10.1007/BF01212897

F. Ledrappier, On the dimension of some graphs, Contemp. Math, vol.135, pp.285-293, 1992.
DOI : 10.1090/conm/135/1185095

B. Solomyak, On the random series ±? n (an Erdös problem)

C. Tricot, Curves and fractal dimension, 1995.
DOI : 10.1007/978-1-4612-4170-6

C. Tricot, General Hausdorff functions, and the notion of one-sided measure and dimension, Arkiv f??r Matematik, vol.48, issue.1, pp.149-176, 2010.
DOI : 10.1007/s11512-008-0087-8