P. Abry, Ondelettes et turbulences. Multirésolutions, algorithmes de décomposition , invariance d'échelle et signaux de pression, Nouveaux Essais, 1997.

A. Arneodo, E. Bacry, and J. F. Muzy, The thermodynamics of fractals revisited with wavelets, Physica A. !, p.232275, 1995.

Y. Benyamini and J. Lindenstrauss, Geometric nonlinear functional analysis, 2000.
DOI : 10.1090/coll/048

J. P. Christensen, On sets of Haar measure zero in abelian polish groups, Israel Journal of Mathematics, vol.28, issue.3-4, p.255260, 1972.
DOI : 10.1007/BF02762799

A. Cohen, R. Devore, G. Kerkyacharian, and D. Picard, Maximal Spaces with Given Rate of Convergence for Thresholding Algorithms, Applied and Computational Harmonic Analysis, vol.11, issue.2, p.167191, 2001.
DOI : 10.1006/acha.2000.0333

I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure and App. Math, p.909996, 1988.

D. Donoho, Asymptotic minimax risk for sup-norm loss: solution via optimal recovery, Probab. Theory Related Fields, p.170, 1994.

A. Fraysse, Generic Validity of the Multifractal Formalism, 593607. [9] , Why minimax is not that pessimist, ESAIM PS, 2007.
DOI : 10.1137/060669760
URL : https://hal.archives-ouvertes.fr/hal-00689978

U. Frisch and G. Parisi, On the singularity structure of fully developed turbulence, Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, p.8488, 1985.

A. Gloter and M. Homann, Nonparametric reconstruction of a multifractal function from noisy data, Probability Theory and Related Fields, vol.301, issue.2, 2009.
DOI : 10.1007/s00440-008-0187-1
URL : https://hal.archives-ouvertes.fr/hal-00693036

B. Hunt, T. Sauer, and J. Yorke, Prevalence, 1992.
DOI : 10.1016/S1874-575X(10)00310-3

I. A. Ibragimov and R. Z. Hasminski, Statistical estimation, Applications of Mathematics, vol.16, 1981.
DOI : 10.1007/978-1-4899-0027-2

S. Jaard, Pointwise smoothness, two-microlocalisation and wavelet coecients, Pub. Mat. !#, p.155168, 1991.

S. Jaard, B. Lashermes, and P. Abry, Wavelet leaders in multifractal analysis, Wavelet Analysis and Applications (Tao Qian, Mang I Vai Applied and Numerical Harmonic Analysis, p.201246, 2007.

G. Kerkyacharian and D. Picard, Thresholding algorithms, maxisets and well-concentrated bases, Test, vol.102, issue.2, 2000.
DOI : 10.1007/BF02595738

Y. Meyer, Ondelettes et opérateurs, 1990.