Wavelet leaders in multifractal analysis, in " Wavelet Analysis and Applications, pp.219-264, 2006. ,
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
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
Holschneider Wavelet transform of multifractals, pp.2281-2284, 1988. ,
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
Multifractality of self-affine fractals, Physical Review A, vol.44, issue.4, pp.2730-2733, 1991. ,
DOI : 10.1103/PhysRevA.44.2730
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
Hilbert scan and image compression, Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, pp.201-220, 2000. ,
DOI : 10.1109/ICPR.2000.903522
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
S??ries trigonom??triques ?? coefficients arithm??tiques, Journal d???Analyse Math??matique, vol.19, issue.2, pp.1-79, 2004. ,
DOI : 10.1007/BF02787756
Ten lectures on wavelets, SIAM, 1992. ,
On some infinite series involving arithmetical functions, Quart. J. Math, vol.8, pp.8-13, 1937. ,
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
Counterexamples in analysis, 1965. ,
Une courbé etrange venue d'ailleurs, Rev, Math. Spé, pp.229-230, 1986. ,
Multifractal formalism for functions part I and II SIAM, pp.945-998, 1997. ,
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
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. ,
On Davenport expansions, Proc. Symp. Pure Math. Vol, vol.721, pp.273-303, 2004. ,
DOI : 10.1090/pspum/072.1/2112109
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
Wavelets: Tools for Science and Technology, 2001. ,
DOI : 10.1137/1.9780898718119
Abry and S. Jaffard Comprehensive Multifractal Analysis of Turbulent Velocity Using the Wavelet Leaders, European Physical journal ,
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. ,
Leçons sur l'integration et la recherche de fonctions primitives, Gautiers-Villars, 1904. ,
Fractals and Scaling in Finance, 1997. ,
DOI : 10.1007/978-1-4757-2763-0
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
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
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
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
On differentiability of peano-Type functions (I and II), Colloq. Math, vol.53, pp.129-135, 1987. ,
Analyse de séquences ADN par la transformée en ondelettes: extraction d'informations structurelles, dynamiques et fonctionnelles, 2006. ,
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
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. ,
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
Sur une courbe, qui remplit toute une aire plane, Mathematische Annalen, vol.36, issue.1, pp.157-160, 1890. ,
DOI : 10.1007/BF01199438
Space Filling curves, 1994. ,
DOI : 10.1007/978-1-4612-0871-6
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
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
On multifractality and time subordination for continuous functions, preprint, 2007. ,
Sur une nouvelle courbe continue qui remplit toute une aire plane, Bull. Ann. Scient. Cracov. p, pp.462-478, 1912. ,
La courbe de Peano et les fonctions indépendantes, C. R. Acad ,