B. Womack, The Analysis of Respiratory Sinus Arrhythmia Using Spectral Analysis and Digital Filtering, IEEE Transactions on Biomedical Engineering, vol.18, issue.6, pp.399-409, 1971.
DOI : 10.1109/TBME.1971.4502881

B. Sayers, Analysis of heart rate variability, Ergonomics, vol.16, pp.17-32, 1973.

S. Akselrod, D. Gordon, F. Ubel, D. Shannon, A. Barger et al., Power spectrum analysis of heart rate fluctuation: a quantitative probe of beat-to-beat cardiovascular control, Science, vol.213, issue.4504, pp.213-220, 1981.
DOI : 10.1126/science.6166045

A. Malliani, M. Pagani, F. Lombardi, and S. Cerutti, Cardiovascular neural regulation explored in the frequency domain, Circulation, vol.84, issue.2, pp.482-492, 1991.
DOI : 10.1161/01.CIR.84.2.482

J. Van-laar, M. Porath, C. Peters, and S. Oei, Spectral analysis of fetal heart rate variability for fetal surveillance: review of the literature, Acta Obstetricia et Gynecologica Scandinavica, vol.87, issue.3, pp.300-306, 2008.
DOI : 10.1080/00016340801898950

L. Mainardi, On the quantification of heart rate variability spectral parameters using time-frequency and time-varying methods, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.5, issue.1-2, pp.255-275, 2009.
DOI : 10.1016/j.autneu.2004.05.001

P. C. Ivanov, M. G. Rosenblum, C. Peng, J. Mietus, S. Havlin et al., Scaling behaviour of heartbeat intervals obtained by wavelet-based time-series analysis, Nature, vol.383, issue.6598, pp.323-327, 1996.
DOI : 10.1038/383323a0

K. Kiyono, Z. R. Struzik, N. Aoyagi, and Y. Yamamoto, Multiscale Probability Density Function Analysis: Non-Gaussian and Scale-Invariant Fluctuations of Healthy Human Heart Rate, IEEE Transactions on Biomedical Engineering, vol.53, issue.1, pp.95-102, 2006.
DOI : 10.1109/TBME.2005.859804

M. Ferrario, M. G. Signorini, G. Magenes, and S. Cerutti, Comparison of Entropy-Based Regularity Estimators: Application to the Fetal Heart Rate Signal for the Identification of Fetal Distress, IEEE Transactions on Biomedical Engineering, vol.53, issue.1, pp.119-125, 2006.
DOI : 10.1109/TBME.2005.859809

G. Baselli, S. Cerutti, S. Civardi, A. Malliani, and M. Pagani, Cardiovascular variability signals: towards the identification of a closed-loop model of the neural control mechanisms, IEEE Transactions on Biomedical Engineering, vol.35, issue.12, pp.1033-1046, 1988.
DOI : 10.1109/10.8688

W. Jarisch and J. S. Detwiler, Statistical Modeling of Fetal Heart Rate Variability, IEEE Transactions on Biomedical Engineering, vol.27, issue.10, pp.582-589, 1980.
DOI : 10.1109/TBME.1980.326580

M. G. Signorini, G. Magenes, S. Cerutti, and D. Arduini, Linear and nonlinear parameters for the analysis of fetal heart rate signal from cardiotocographic recordings, IEEE Transactions on Biomedical Engineering, vol.50, issue.3, pp.365-374, 2003.
DOI : 10.1109/TBME.2003.808824

R. Barbieri, E. C. Matten, A. A. Alabi, and E. M. Brown, A point-process model of human heartbeat intervals: new definitions of heart rate and heart rate variability, AJP: Heart and Circulatory Physiology, vol.288, issue.1, pp.424-435, 2005.
DOI : 10.1152/ajpheart.00482.2003

P. Hopkins, N. Outram, N. Löfgren, E. Ifeachor, and K. Rosén, A Comparative Study of Fetal Heart Rate Variability Analysis Techniques, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society, pp.1784-1787
DOI : 10.1109/IEMBS.2006.260258

Y. Nakamura, Y. Yamamoto, and I. Muraoka, Autonomic control of heart rate during physical exercise and fractal dimension of heart rate variability, Journal of Applied Physiology, vol.74, pp.875-881, 1993.

Y. Yamamoto and R. L. Hughson, On the fractal nature of heart rate variability in humans: effects of data length and ?-adrenergic blockade, American Journal of Physiology -Regulatory, Integrative and Comparative Physiology, vol.266, pp.40-49, 1994.

L. A. Nunes-amaral, P. C. Ivanov, N. Aoyagi, I. Hidaka, S. Tomono et al., Behavioral-Independent Features of Complex Heartbeat Dynamics, Physical Review Letters, vol.86, issue.26, pp.6026-6029, 2001.
DOI : 10.1103/PhysRevLett.86.6026

R. Lopes and N. Betrouni, Fractal and multifractal analysis: A review, Medical Image Analysis, vol.13, issue.4, pp.634-649, 2009.
DOI : 10.1016/j.media.2009.05.003

T. Nakamura, H. Horio, and Y. Chiba, Local H??lder Exponent Analysis of Heart Rate Variability in Preterm Infants, IEEE Transactions on Biomedical Engineering, vol.53, issue.1, pp.83-88, 2006.
DOI : 10.1109/TBME.2005.859796

T. Nakamura, H. Horio, M. Susumu, C. Yoshihide, and S. Shunsuke, Multifractal analysis of heart rate variability, IEIC, 2002.

K. Kiyono, Z. R. Struzik, N. Aoyagi, S. Sakata, J. Hayano et al., Critical Scale Invariance in a Healthy Human Heart Rate, Physical Review Letters, vol.93, issue.17, 2004.
DOI : 10.1103/PhysRevLett.93.178103

E. S. Ching and Y. Tsang, Multifractality and scale invariance in human heartbeat dynamics, Physical Review E, vol.76, issue.4, p.76, 2007.
DOI : 10.1103/PhysRevE.76.041910

D. Makowiec, A. Dudkowska, R. Galaska, and A. Rynkiewicz, Multifractal estimates of monofractality in RR-heart series in power spectrum ranges, Physica A: Statistical Mechanics and its Applications, vol.388, issue.17, pp.3486-3502, 2009.
DOI : 10.1016/j.physa.2009.05.005

R. Sassi, M. G. Signorini, and S. Cerutti, Multifractality and heart rate variability, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.19, issue.2, 2009.
DOI : 10.1063/1.3152223

B. Mandelbrot, Multiplications aléatoires itérées et distributions invariantes par moyenne pondérée aléatoire, C.R. Acad. Sci. Paris, Série A, vol.278, pp.289-292, 1974.

M. Meyer and O. Stiedl, Self-affine fractal variability of human heartbeat interval dynamics in health and disease, European Journal of Applied Physiology, vol.90, issue.3-4, pp.305-316, 2003.
DOI : 10.1007/s00421-003-0915-2

C. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley et al., Mosaic organization of DNA nucleotides, Physical Review E, vol.49, issue.2, pp.1685-1689, 1994.
DOI : 10.1103/PhysRevE.49.1685

K. Hu, Z. Chen, P. C. Ivanov, P. Carpena, and H. E. Stanley, Effect of trends on detrended fluctuation analysis, Physical Review E, vol.64, issue.1, 2001.
DOI : 10.1103/PhysRevE.64.011114

Z. Chen, P. C. Ivanov, K. Hu, and H. E. Stanley, Effect of nonstationarities on detrended fluctuation analysis, Physical Review E, vol.65, issue.4, pp.65-041107, 2002.
DOI : 10.1103/PhysRevE.65.041107

I. Daubechies, Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, vol.34, issue.7, pp.909-996, 1988.
DOI : 10.1002/cpa.3160410705

S. Jaffard, Wavelet techniques in multifractal analysis, Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot, Proc. of Symposia in Pure Mathematics, pp.91-152, 2004.

S. Jaffard, B. Lashermes, and P. Abry, Wavelet Leaders in Multifractal Analysis, Wavelet Analysis and Applications, pp.219-264, 2006.
DOI : 10.1007/978-3-7643-7778-6_17

URL : https://hal.archives-ouvertes.fr/ensl-00195088

J. 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, p.47, 1993.
DOI : 10.1103/PhysRevE.47.875

H. Stanley, L. Amaral, A. Goldberger, S. Havlin, P. Ivanov et al., Statistical physics and physiology: Monofractal and multifractal approaches, Physica A: Statistical Mechanics and its Applications, vol.270, issue.1-2, pp.309-324, 1999.
DOI : 10.1016/S0378-4371(99)00230-7

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.1941

J. Kantelhardt, S. Zschiegner, E. Koscielny-bunde, S. Havlin, A. Bunde et al., Multifractal detrended fluctuation analysis of nonstationary time series, Physica A: Statistical Mechanics and its Applications, vol.316, issue.1-4, pp.316-87, 2002.
DOI : 10.1016/S0378-4371(02)01383-3

R. Riedi, Multifractal processes, in: Long range dependence: theory and applications, Birkhäuser, pp.625-715, 2002.

S. Jaffard, B. Lashermes, and P. Abry, Wavelet Leaders in Multifractal Analysis, pp.219-264, 2006.
DOI : 10.1007/978-3-7643-7778-6_17

URL : https://hal.archives-ouvertes.fr/ensl-00195088

D. Rand, The singularity spectrum f(??) for cookie-cutters, Ergodic Theory and Dynamical Systems, vol.33, issue.03, pp.527-541, 1989.
DOI : 10.1103/PhysRevLett.59.1377

S. Jaffard, Multifractal Formalism for Functions Part I: Results Valid For All Functions, SIAM Journal on Mathematical Analysis, vol.28, issue.4, pp.944-970, 1997.
DOI : 10.1137/S0036141095282991

J. Barral and X. Jin, Multifractal Analysis of Complex Random Cascades, Communications in Mathematical Physics, vol.36, issue.2, pp.129-168, 2010.
DOI : 10.1007/s00220-010-1030-y

URL : https://hal.archives-ouvertes.fr/hal-00790872

R. Riedi and J. L. Véhel, Multifractal Properties of TCP traffic: a numerical study, 1997.
URL : https://hal.archives-ouvertes.fr/inria-00073560

C. Canus, J. Lévy-véhel, and C. Tricot, Continuous large deviation multifractal spectrum: definition and estimation, Proceedings of Fractal 98 Conference: " Fractals and Beyond: Complexities in the Sciences, pp.117-128

J. L. Véhel and C. Tricot, On Various Multifractal Spectra, Progress in Probability, vol.57, pp.23-42, 2004.
DOI : 10.1007/978-3-0348-7891-3_2

J. Barral and P. Gonçalves, On the Estimation of the Large Deviations Spectrum, Journal of Statistical Physics, vol.6, issue.89, pp.1256-1283, 2011.
DOI : 10.1007/s10955-011-0296-6

URL : https://hal.archives-ouvertes.fr/hal-00747653

W. Zhou, Multifractal detrended cross-correlation analysis for two nonstationary signals, Physical Review E, vol.77, issue.6, p.66211, 2008.
DOI : 10.1103/PhysRevE.77.066211

B. Podobnik and H. E. Stanley, Detrended Cross-Correlation Analysis: A New Method for Analyzing Two Nonstationary Time Series, Physical Review Letters, vol.100, issue.8, p.84102, 2008.
DOI : 10.1103/PhysRevLett.100.084102

B. Podobnik, D. Horvatic, A. M. Petersen, and H. E. Stanley, Cross-correlations between volume change and price change, Proceedings of the National Academy of Sciences, vol.106, issue.52, pp.22079-22084, 2009.
DOI : 10.1073/pnas.0911983106

URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2799689