P. Abry, S. Jaffard, and S. Roux, Function spaces vs. scaling functions: tools for image classification, Mathematical image processing, vol.5, pp.1-39, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00798459

H. Wendt, S. Abry, and . Jaffard, Bootstrap for empirical multifractal analysis, Signal Processing Magazine, IEEE, vol.24, issue.4, pp.38-48

J. Aubry, D. Maman, and S. Seuret, Local behavior of traces of Besov functions: Prevalent results, Journal of Functional Analysis, vol.264, issue.3, pp.631-660, 2013.
DOI : 10.1016/j.jfa.2012.11.012
URL : https://hal.archives-ouvertes.fr/hal-00795610

J. M. Aubry and S. Jaffard, Random Wavelet Series, Communications in Mathematical Physics, vol.227, issue.3, pp.483-514, 2002.
DOI : 10.1007/s002200200630
URL : https://hal.archives-ouvertes.fr/hal-00012098

J. Barral, A. Durand, S. Jaffard, and S. Seuret, Local multifractal analysis, Applications of Fractals and Dynamical Systems in Science and Economics, Contempory Mathematics, vol.601, 2013.

J. Barral, N. Fournier, S. Jaffard, and S. Seuret, A pure jump Markov process with a random singularity spectrum, The Annals of Probability, vol.38, issue.5, pp.1924-1946, 2010.
DOI : 10.1214/10-AOP533
URL : https://hal.archives-ouvertes.fr/hal-00693014

J. Barral and P. Gonçalves, On the Estimation of the Large Deviations Spectrum, Journal of Statistical Physics, vol.6, issue.89, pp.1256-1283, 2011.
DOI : 10.1016/j.sigpro.2008.12.015
URL : https://hal.archives-ouvertes.fr/hal-00747653

J. Barral and S. Seuret, From Multifractal Measures to Multifractal Wavelet Series, Journal of Fourier Analysis and Applications, vol.11, issue.5, pp.589-614, 2005.
DOI : 10.1007/s00041-005-5006-9

F. Bayart, Multifractal spectra of typical and prevalent measures, Nonlinearity, vol.26, issue.2, pp.353-367, 2013.
DOI : 10.1088/0951-7715/26/2/353
URL : https://hal.archives-ouvertes.fr/hal-00714388

A. Benassi, S. Jaffard, and D. Roux, Elliptic gaussian random processes, Revista Matem??tica Iberoamericana, vol.13, issue.1, pp.19-90, 1997.
DOI : 10.4171/RMI/217

V. Beresnevich and S. Velani, A Mass Transference Principle and the Duffin???Schaeffer conjecture for Hausdorff measures, Annals of Mathematics, vol.164, issue.3, pp.971-992, 2006.
DOI : 10.4007/annals.2006.164.971

Z. Buczolich and S. Seuret, Measures and Functions with prescribed singularity spectrum, 2014.

F. Chamizo and A. , Ubis, Multifractal behavior of polynomial Fourier series, 2012.

J. P. Christensen, On sets of Haar measure zero in abelian polish groups, Israel Journal of Mathematics, vol.28, issue.3-4, pp.255-260, 1972.
DOI : 10.7146/math.scand.a-11010

A. Fraysse and S. Jaffard, How smooth is almost every function in a Sobolev space? Rev, Mat. Ibero, vol.22, issue.2, pp.663-683, 2006.

. Numéro-spécial-de-la, Gazette des mathématiciens " en hommagè a Beno??tBeno??t Mandelbrot, 2013.

J. Gerver, The Differentiability of the Riemann Function at Certain Rational Multiples of &#960, American Journal of Mathematics, vol.92, issue.1, pp.33-55, 1970.
DOI : 10.2307/2373496

G. H. Hardy, Weierstrass's non-differentiable function, Trans. Amer. Math. Soc, vol.17, pp.301-325, 1916.
DOI : 10.2307/1989005
URL : http://doi.org/10.2307/1989005

B. R. Hunt, T. Sauer, and J. A. Yorke, PREVALENCE: A TRANSLATION-INVARIANT ``ALMOST EVERY''\\ ON INFINITE-DIMENSIONAL SPACES, Bulletin of the American Mathematical Society, vol.27, issue.2, pp.217-238, 1992.
DOI : 10.1090/S0273-0979-1992-00328-2

S. Jaffard, Exposants de Hölder en des points donnés et coefficients d'ondelettes, C.R.A.S, vol.308, issue.1, pp.79-81, 1989.

S. Jaffard, Construction de fonctions multifractales ayant un spectre de singularités prescrit, C.R.A.S, vol.315, issue.1, pp.19-24, 1992.

S. Jaffard, Multifractal Formalism for Functions Part I: Results Valid For All Functions, SIAM Journal on Mathematical Analysis, vol.28, issue.4, pp.944-970, 1997.
DOI : 10.1137/S0036141095282991

S. Jaffard, The spectrum of singularities of Riemann's function, Revista Matem??tica Iberoamericana, vol.12, issue.2, pp.441-460, 1996.
DOI : 10.4171/RMI/203

S. Jaffard, On the Frisch???Parisi conjecture, Journal de Math??matiques Pures et Appliqu??es, vol.79, issue.6, pp.525-552, 2000.
DOI : 10.1016/S0021-7824(00)00161-6

S. Jaffard, On lacunary wavelet series, The Annals of Applied Probability, vol.10, issue.1, pp.313-329, 2000.
DOI : 10.1214/aoap/1019737675

S. Jaffard, Beyond Besov spaces. II. Oscillation spaces, Constr. Approx, vol.21, pp.29-61, 2004.

J. Lévy-véhel and R. Peltier, Multifractional Brownian Motion : Definition and Preliminary Results, INRIA Research Report, p.2645, 1995.

J. Lévy-véhel and R. Vojak, Multifractal Analysis of Choquet Capacities, Advances in Applied Mathematics, vol.20, issue.1, pp.1-43, 1998.
DOI : 10.1006/aama.1996.0517

D. Maman, Prévalence et généricité de propriétés multifractales pour des traces de fonctions, 2013.

T. Rivoal and S. Seuret, Hardy-Littlewood series and even continued fractions, Journal d'Analyse Math??matique, vol.63, issue.2, 2014.
DOI : 10.1070/RM2008v063n06ABEH004577
URL : https://hal.archives-ouvertes.fr/hal-00756399

S. Seuret, Detecting and creating oscillations using multifractal methods, Mathematische Nachrichten, vol.13, issue.11, pp.1195-1211, 2006.
DOI : 10.4171/RMI/22