Wavelet techniques in multifractal analysis, Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot, vol.72, pp.91-152, 2004. ,
Wavelet domain multifractal analysis for static and dynamic texture classification, IEEE Transactions on Image Processing, vol.22, issue.1, pp.286-299, 2013. ,
Image denoising based on wavelets and multifractals for singularity detection, IEEE Transactions on Image Processing, vol.14, issue.10, pp.1435-1447, 2005. ,
Morphology-based multifractal estimation for texture segmentation, IEEE Transactions on Image Processing, vol.15, issue.3, pp.614-623, 2006. ,
Bootstrap for empirical multifractal analysis, IEEE Signal Proc. Mag, vol.24, issue.4, pp.38-48, 2007. ,
Finite resolution effects in p-leader multifractal analysis, IEEE T. Signal Proces, vol.65, issue.13, pp.3359-3368, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01620209
Bayesian estimation of the multifractality parameter for image texture using a whittle approximation, IEEE T. Image Proces, vol.24, issue.8, pp.2540-2551, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01187463
Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier, J. Fluid Mech, vol.62, pp.331-358, 1974. ,
Analysis of the time dynamics in wind records by means of multifractal detrended fluctuation analysis and the Fisher-Shannon information plane, J. Stat. Mech. Theor. Exp, vol.2011, issue.07, p.7001, 2011. ,
Universal multifractals: Theory and observations for rain and clouds, J. Applied Meteorology, vol.32, issue.2, pp.223-250, 1993. ,
Fractal and multifractal analysis: a review, Medical Image Analyis, vol.13, pp.634-649, 2009. ,
3d lacunarity in multifractal analysis of breast tumor lesions in dynamic contrast-enhanced magnetic resonance imaging, IEEE Transactions on Image Processing, vol.22, issue.11, pp.4422-4435, 2013. ,
Multiscale analysis of intensive longitudinal biomedical signals and its clinical applications, Proc. IEEE, vol.104, pp.242-261, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01518074
Log wavelet leaders cumulant based multifractal analysis of evi fmri time series: evidence of scaling in ongoing and evoked brain activity, IEEE J. of Selected Topics in Signal Proces, vol.2, issue.6, pp.929-943, 2009. ,
Scale-free and multifractal dynamic properties of fmri signals during rest and task, Frontiers in Physiology, vol.3, issue.186, pp.1-18, 2012. ,
The temporal structures and functional significance of scale-free brain activity, Neuron, vol.66, pp.353-69, 2010. ,
A multifractal wavelet model with application to network traffic, IEEE Transactions on Information Theory, vol.45, issue.3, pp.992-1018, 1999. ,
Multiscale nature of network traffic, IEEE Signal Process. Mag, vol.19, issue.3, pp.28-46, 2002. ,
Scaling in internet traffic: a 14 year and 3 day longitudinal study, with multiscale analyses and random projections, IEEE/ACM T. Networking, vol.25, issue.4, pp.2152-2165, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01914103
A multifractal walk down wall street, Scientific American, vol.280, issue.2, pp.70-73, 1999. ,
When Van Gogh meets Mandelbrot: multifractal classification of painting's texture, vol.93, pp.554-572, 2013. ,
Multiscale anisotropic texture analysis and classification of photographic prints: art scholarship meets image processing algorithms, IEEE Signal Process. Mag, vol.32, issue.4, pp.18-27, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01514632
Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method, Phys. Rev. E, vol.47, issue.2, p.875, 1993. ,
URL : https://hal.archives-ouvertes.fr/hal-01557138
Multifractal detrended fluctuation analysis of nonstationary time series, Physica A, vol.316, issue.1, pp.87-114, 2002. ,
p-exponent and p-leaders, part i: Negative pointwise regularity, Physica A, vol.448, pp.300-318, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01180560
p-exponent and p-leaders, part ii: Multifractal analysis. relations to detrended fluctuation analysis, Physica A, vol.448, pp.319-339, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01291278
Entropies, large deviations and statistical mechanics, 1985. ,
Multifractal processes, Theory and applications of long range dependence, pp.625-717, 2003. ,
On the estimation of the large deviations spectrum, J. Stat. Phys, vol.144, issue.6, pp.1256-1283, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00747653
Fully developed turbulence and intermittency, Turbulence and Predictability in geophysical Fluid Dynamics and Climate Dynamics, ser. Proc. of Int. School, p.84, 1985. ,
Wavelet leaders and bootstrap for multifractal analysis of images, Signal Process, vol.89, pp.1100-1114, 2009. ,
URL : https://hal.archives-ouvertes.fr/ensl-00365041
A bridge between geometric measure theory and signal processing: Multifractal analysis, The Abel Symposium, vol.9, pp.1-56, 2012. ,
A multifractal formalism for non-concave and non-increasing spectra: The leaders profile method, Appl. Comput. Harmon. Anal, vol.43, issue.2, pp.269-291, 2017. ,
Nonconcave entropies in multifractals and the thermodynamic formalism, J. Stat. Phys, vol.125, pp.455-471, 2006. ,
Generalized canonical ensembles and ensemble equivalence, Phys. Rev. E, vol.73, issue.2, pp.26-105, 2006. ,
, The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble, J. Stat. Phys, vol.119, issue.5-6, pp.1283-1329, 2005.
Methods for calculating nonconcave entropies, J. Stat. Mech. Theor. Exp, vol.2010, issue.05, p.5008, 2010. ,
Generalized Legendre transform multifractal formalism for nonconcave spectrum estimation, Proc. IEEE Workshop Statistical Signal Proces. (SSP), 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01461696
A Wavelet Tour of Signal Processing, 1998. ,
Construction de fonctions multifractales ayant un spectre de singularités prescrit, Note Compte-Rendus Acad. Sciences, vol.315, issue.1, pp.19-24, 1992. ,
, Convex Analysis, 1997.
Direct determination of the singularity spectrum and its application to fully developed turbulence, Phys. Rev. A, vol.40, issue.9, pp.5284-5294, 1989. ,
New insights into the estimation of scaling exponents, International Journal of Wavelets, Multiresolution and Information Processing, vol.02, issue.04, pp.497-523, 2004. ,
Stable non-Gaussian random processes, 1994. ,
The multifractal nature of Levy processes, Probab. Theory Related Fields, vol.114, issue.2, pp.207-227, 1999. ,
Detecting and creating oscillations using multifractal methods, Mathematische Nachrichten, vol.279, issue.11, pp.1195-1211, 2006. ,
Multifractal random walk, Phys. Rev. E, vol.64, issue.2, p.26103, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00012439