, Signal Analysis, vol.191, 1977.
, Fourier Analysis, 1988.
, Lectures on the Fourier Transform and Its Applications, 2019.
, Time Series: Theory and Methods, 1991.
An algorithm for the machine calculation of complex Fourier series, Math. Comput, vol.19, issue.90, pp.297-301, 1965. ,
The re-discovery of the fast Fourier transform algorithm, Mikrochim. Acta, vol.93, issue.1-6, pp.33-45, 1987. ,
Neuronal oscillations in cortical networks, Science, vol.304, issue.5679, pp.1926-1929, 2004. ,
A wavelet-based joint estimator of the parameters of long-range dependence, IEEE Trans. Inf. Theory, vol.45, issue.3, pp.878-897, 1999. ,
Self-Similar Network Traffic and Performance Evaluation, pp.1-38, 2000. ,
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 Trans. Netw, vol.25, issue.4, pp.2152-2165, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01914103
, Scientific Psychology: Principles and Approaches, 1965.
The multifractal model of asset returns, Cowles Foundation Discussion Papers, vol.1164, 1997. ,
Multifractality in assets returns: theory and evidence, Rev. Econ. Stat. LXXXIV, issue.84, pp.381-406, 2002. ,
L'approche fractale: un nouvel outil dans l'analyse spatiale des agglomerations urbaines, Population, vol.4, pp.1005-1040, 1997. ,
When Van Gogh meets Mandelbrot: multifractal classification of painting's texture, Signal Process, vol.93, pp.554-572, 2013. ,
p-Leader multifractal analysis for text type identification, Proc. 42nd IEEE International Conference on Acoustics, Speech and Signal Processing, vol.2017, pp.5-9, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01579780
Fractal dynamics of human gait: stability of long-range correlations in stride interval fluctuations, J. Appl. Physiol, pp.1446-1447, 1996. ,
Scale-invariant aspects of cardiac dynamics, IEEE Eng. Med. Biol. Mag, vol.26, issue.6, pp.33-37, 2007. ,
Multifractal analysis of fetal heart rate variability in fetuses with and without severe acidosis during labor, Am. J. Perinatol, vol.28, issue.4, pp.259-266, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00537788
Multiscale analysis of intensive longitudinal biomedical signals and its clinical applications, Proc. IEEE 104, pp.242-261, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01518074
Wavelet p-leader non Gaussian multiscale expansions for heart rate variability analysis in congestive heart failure patients, IEEE Trans. Biomed. Eng, vol.66, issue.1, pp.80-88, 2019. ,
, Fractals in the nervous system: conceptual implications for theoretical neuroscience, p.1, 2010.
Scale-free brain activity: past, present, and future, Trends Cogn. Sci, vol.18, issue.9, pp.480-487, 2014. ,
Neural integration of stimulus history underlies prediction for naturalistically evolving sequences, J. Neurosci, vol.38, issue.6, pp.1541-1557, 2018. ,
Self-similarity and multifractality in human brain activity: a wavelet-based analysis of scale-free brain dynamics, J. Neurosci. Methods, vol.309, pp.175-187, 2018. ,
, , 1993.
Physically based rain and cloud modeling by anisotropic, multiplicative turbulent cascades, J. Geophys. Res, vol.92, pp.9693-9714, 1987. ,
Comprehensive multifractal analysis of turbulent velocity using the wavelet leaders, Eur. Phys. J. B, vol.61, issue.2, pp.201-215, 2008. ,
URL : https://hal.archives-ouvertes.fr/ensl-00195451
, Wavelets in Geophysics, 1994.
Scaling and multifractal fields in the solid Earth and topography, Nonlinear Process. Geophys, vol.14, issue.4, pp.465-502, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00331103
, Water Resour. Res, vol.4, issue.5, pp.909-918, 1968.
The Fractal Geometry of Nature, 1982. ,
Irregularities and scaling in signal and image processing: multifractal analysis, Benoît Mandelbrot: a Life in Many Dimensions, pp.31-116, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00798427
Interplay between functional connectivity and scale-free dynamics in intrinsic fMRI networks, NeuroImage, vol.95, pp.248-263, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01084242
, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, 1992.
, A Wavelet Tour of Signal Processing, 1998.
On the spectrum of fractional Brownian motions, IEEE Trans. Inf. Theory IT, vol.35, issue.1, pp.197-199, 1989. ,
Wavelet analysis and synthesis of fractional Brownian motions, IEEE Trans. Inf. Theory, vol.38, pp.910-917, 1992. ,
Wavelets, spectrum estimation and 1/ f processes, Wavelets and Statistics, 1995. ,
Wavelet analysis of long-range dependent traffic, IEEE Trans. Inf. Theory, vol.44, issue.1, pp.2-15, 1998. ,
Integral representations and properties of operator fractional Brownian motions, Bernoulli, vol.17, issue.1, pp.1-33, 2011. ,
Wavelet estimation for operator fractional Brownian motion, Bernoulli, vol.24, issue.2, pp.895-928, 2018. ,
Wavelet eigenvalue regression for n-variate operator fractional Brownian motion, J. Multivar. Anal, vol.168, pp.75-104, 2018. ,
Joint multifractal measures -theory and applications to turbulence, Phys. Rev. A, vol.41, issue.2, pp.894-913, 1990. ,
Multivariate multifractal analysis, Appl. Comput. Harmon. Anal, vol.46, issue.3, pp.653-663, 2019. ,
, Time-Frequency/Time-Scale Analysis, vol.10, 1998.
Wavelet analysis of covariance with application to atmospheric time series, J. Geophys. Res., Atmos, vol.105, issue.D11, pp.14941-14962, 2000. ,
Multivariate Hadamard self-similarity: testing fractal connectivity, Physica D, vol.356, pp.1-36, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02345555
Supramodal processing optimizes visual perceptual learning and plasticity, Neuroimage, vol.93, pp.32-46, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01084251
Fractional Brownian motion, fractional noises and applications, SIAM Rev, vol.10, pp.422-437, 1968. ,
, Stable Non-Gaussian Random Processes, 1994.
Operator-self-similar stable processes, Stoch. Process. Appl, vol.54, issue.1, pp.139-163, 1994. ,
Sample path properties of operator-self-similar Gaussian random fields, Theory Probab. Appl, vol.46, issue.1, pp.58-78, 2002. ,
Exponents, symmetry groups and classification of operator fractional Brownian motions, J. Theor. Probab, vol.25, issue.2, pp.353-395, 2012. ,
Sample means, sample autocovariances, and linear regression of stationary multivariate long memory processes, Econom. Theory, vol.18, pp.51-78, 2002. ,
Convergence in law to operator fractional Brownian motions, J. Theor. Probab, vol.26, issue.3, pp.676-696, 2013. ,
Two-step wavelet-based estimation for Gaussian mixed fractional processes, Stat. Inference Stoch. Process, vol.22, issue.2, pp.157-185, 2019. ,
Multiple local Whittle estimation in stationary systems, Ann. Stat, vol.36, issue.5, pp.2508-2530, 2008. ,
Fractal connectivity of long-memory networks, Phys. Rev. E, vol.77, issue.3, p.36104, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00350185
Scale-free functional connectivity analysis from source reconstructed MEG data, Proc. European Signal Processing Conference, pp.3-7, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01800620
Non-linear wavelet regression and branch & bound optimization for the full identification of bivariate operator fractional Brownian motion, IEEE Trans. Signal Process, vol.64, issue.15, pp.4040-4049, 2016. ,
, Theory and Applications of Long Range Dependence, pp.625-717, 2003.
, Fractal Geometry and Applications: a Jubilee of Benoît Mandelbrot, vol.72, pp.91-152, 2004.
Bootstrap for empirical multifractal analysis, IEEE Signal Process. Mag, vol.24, issue.4, pp.38-48, 2007. ,
, p-exponent and p-leaders, part I: negative pointwise regularity, 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
Physically based rain and cloud modeling by anisotropic, multiplicative turbulent cascades, J. Geophys. Res, vol.92, pp.9693-9714, 1987. ,
Baire typical results for mixed Hölder spectra on product of continuous Besov or oscillation spaces, Mediterr. J. Math, vol.13, pp.1513-1533, 2016. ,
Log-similarity for turbulent flows, Physica D, vol.68, issue.3-4, pp.387-400, 1993. ,
, The thermodynamics of fractals revisited with wavelets, vol.213, pp.232-275, 1995.
URL : https://hal.archives-ouvertes.fr/hal-01557133
Assessing cross-dependencies using bivariate multifractal analysis, 2018 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.15-20, 2018. ,
Multifractal characterization for bivariate data, Proc. European Signal Processing Conference, pp.3-7, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02279400
Multifractal random walk, Phys. Rev. E, vol.64, issue.2, p.26103, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00012439
Synthesis of multivariate stationary series with prescribed marginal distributions and covariance using circulant matrix embedding, Signal Process, vol.91, pp.1741-1758, 2011. ,
Wavelet domain bootstrap for testing the equality of bivariate self-similarity exponents, Proc. IEEE Workshop Statistical Signal Proces. (SSP), pp.10-13, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02279426
Detecting and estimating multivariate self-similar sources in high-dimensional noisy mixtures, Proc. IEEE Workshop Statistical Signal Proces. (SSP), pp.10-13, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02279354