P. Abry, S. Jaffard, and B. Lashermes, Wavelet leaders in multifractal analysis, in " Wavelet Analysis and Applications, pp.219-264, 2006.

A. Arneodo, B. Audit, N. Decoster, J. Muzy, C. Vaillant et al., Wavelet Based Multifractal Formalism: Applications to DNA Sequences, Satellite Images of the Cloud Structure, and Stock Market Data, pp.27-102, 2002.
DOI : 10.1007/978-3-642-56257-0_2

A. Arneodo, E. Bacry, and J. , The thermodynamics of fractals revisited with wavelets, Physica A: Statistical Mechanics and its Applications, vol.213, issue.1-2, pp.232-275, 1995.
DOI : 10.1016/0378-4371(94)00163-N

A. Arneodo, G. Grasseau, and M. , Holschneider Wavelet transform of multifractals, pp.2281-2284, 1988.

J. Alsina, The peano curve of schoenberg is nowhere differentiable, Journal of Approximation Theory, vol.33, issue.1, pp.28-42, 1981.
DOI : 10.1016/0021-9045(81)90087-3

A. L. Barabási and T. , Multifractality of self-affine fractals, Physical Review A, vol.44, issue.4, pp.2730-2733, 1991.
DOI : 10.1103/PhysRevA.44.2730

]. A. Belov, A PROBLEM OF SALEM AND ZYGMUND ON THE SMOOTHNESS OF AN ANALYTIC FUNCTION THAT GENERATES A PEANO CURVE, Mathematics of the USSR-Sbornik, vol.70, issue.2, pp.485-497, 1991.
DOI : 10.1070/SM1991v070n02ABEH001384

S. Biswas, Hilbert scan and image compression, Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, pp.201-220, 2000.
DOI : 10.1109/ICPR.2000.903522

T. Bousch and Y. Heurteaux, Caloric measure on domains bounded by Weierstrass-type graphs, Ann. Acad. Sci. Fenn, vol.25, pp.501-522, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00475617

R. De-la-bretèche and G. Tenenbaum, S??ries trigonom??triques ?? coefficients arithm??tiques, Journal d???Analyse Math??matique, vol.19, issue.2, pp.1-79, 2004.
DOI : 10.1007/BF02787756

I. Daubechies, Ten lectures on wavelets, SIAM, 1992.

H. Davenport, On some infinite series involving arithmetical functions, Quart. J. Math, vol.8, pp.8-13, 1937.

H. Davenport, ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II), The Quarterly Journal of Mathematics, vol.8, issue.1, pp.313-320, 1937.
DOI : 10.1093/qmath/os-8.1.313

B. R. Gelbaum and J. M. Olmsted, Counterexamples in analysis, 1965.

J. Hiriart-urruti, Une courbé etrange venue d'ailleurs, Rev, Math. Spé, pp.229-230, 1986.

S. Jaffard, Multifractal formalism for functions part I and II SIAM, pp.945-998, 1997.

S. Jaffard, Old friends revisited: the multifractal nature of some classical functions, The Journal of Fourier Analysis and Applications, vol.3, issue.1, pp.1-22, 1997.
DOI : 10.1007/BF02647944

S. Jaffard, Wavelet techniques in multifractal analysis, Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot, M. Lapidus et M. van Frankenhuijsen Eds, Proceedings of Symposia in Pure Mathematics, AMS, pp.91-152, 2004.

S. Jaffard, On Davenport expansions, Proc. Symp. Pure Math. Vol, vol.721, pp.273-303, 2004.
DOI : 10.1090/pspum/072.1/2112109

S. Jaffard and B. Mandelbrot, Local Regularity of Nonsmooth Wavelet Expansions and Application to the Polya Function, Advances in Mathematics, vol.120, issue.2, pp.265-282, 1996.
DOI : 10.1006/aima.1996.0039

S. Jaffard, Y. Meyer, and R. Ryan, Wavelets: Tools for Science and Technology, 2001.
DOI : 10.1137/1.9780898718119

B. Lashermes, D. Roux, and P. , Abry and S. Jaffard Comprehensive Multifractal Analysis of Turbulent Velocity Using the Wavelet Leaders, European Physical journal

J. Lawder, The application of space-filling curves to the storage and retrieval of multidimensional data, School of Comp. Sci. and Inf. Syst. Univ. of London, 2000.

H. Lebesgue, Leçons sur l'integration et la recherche de fonctions primitives, Gautiers-Villars, 1904.

B. Mandelbrot, Fractals and Scaling in Finance, 1997.
DOI : 10.1007/978-1-4757-2763-0

B. Mandelbrot and S. Jaffard, Peano-p??lya motions, when time is intrinsic or binomial (uniform or multifractal), The Mathematical Intelligencer, vol.68, issue.4, pp.21-26, 1997.
DOI : 10.1007/BF03024410

J. F. Muzy, E. Bacry, and A. Arneodo, Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method, Physical Review E, vol.47, issue.2, pp.875-884, 1993.
DOI : 10.1103/PhysRevE.47.875

J. F. Muzy, Analyse de distributions fractales ?? partir de leur transform??e en ondelettes, Annales de Physique, vol.20, issue.2, pp.63-231, 1995.
DOI : 10.1051/anphys:199502001

E. H. Moore, On certain crinkly curves, Transactions of the American Mathematical Society, vol.1, issue.1, pp.72-90, 1900.
DOI : 10.1090/S0002-9947-1900-1500526-4

M. Morayne, On differentiability of peano-Type functions (I and II), Colloq. Math, vol.53, pp.129-135, 1987.

S. Nicolay, Analyse de séquences ADN par la transformée en ondelettes: extraction d'informations structurelles, dynamiques et fonctionnelles, 2006.

S. Nicolay, E. B. Brodie, B. Audit, and Y. , Bifractality of human DNA strand-asymmetry profiles results from transcription, Physical Review E, vol.75, issue.3, p.32902, 2007.
DOI : 10.1103/PhysRevE.75.032902

URL : https://hal.archives-ouvertes.fr/ensl-00198448

G. Parisi and U. Frisch, On the singularity spectrum of fully developped turbulence, Turbulence and predictability in geophysical fluid dynamics Proceedings of the International Summer School in Physics Enrico Fermi, pp.84-87, 1985.

S. Patil, S. Das, and A. Nasipuri, Serial data fusion using space-filling curves in wireless sensor networks, 2004 First Annual IEEE Communications Society Conference on Sensor and Ad Hoc Communications and Networks, 2004. IEEE SECON 2004., 2005.
DOI : 10.1109/SAHCN.2004.1381916

G. Peano, Sur une courbe, qui remplit toute une aire plane, Mathematische Annalen, vol.36, issue.1, pp.157-160, 1890.
DOI : 10.1007/BF01199438

H. Sagan, Space Filling curves, 1994.
DOI : 10.1007/978-1-4612-0871-6

R. Salem and A. Zygmund, Lacunary power series and Peano curves, Duke Mathematical Journal, vol.12, issue.4, pp.569-578, 1945.
DOI : 10.1215/S0012-7094-45-01251-8

I. J. Schoenberg, On the Peano curve of Lebesgue, Bulletin of the American Mathematical Society, vol.44, issue.8, p.519, 1938.
DOI : 10.1090/S0002-9904-1938-06792-4

S. Seuret, On multifractality and time subordination for continuous functions, preprint, 2007.

W. Sierpi´nskisierpi´nski, Sur une nouvelle courbe continue qui remplit toute une aire plane, Bull. Ann. Scient. Cracov. p, pp.462-478, 1912.

H. Steinhaus, La courbe de Peano et les fonctions indépendantes, C. R. Acad