V. I. Abramenko, Multifractal Analysis Of Solar Magnetograms, Solar Phys, pp.29-42, 2005.

P. Abry, S. Jaffard, and B. Lashermes, <title>Revisiting scaling, multifractal, and multiplicative cascades with the wavelet leader lens</title>, Wavelet Applications in Industrial Processing II, pp.103-117, 2004.
DOI : 10.1117/12.581234

A. Arneodo, J. Muzy, R. , and S. , Experimental Analysis of Self-Similarity and Random Cascade Processes: Application to Fully Developed Turbulence Data, Journal de Physique II, vol.7, issue.2, pp.363-370, 1997.
DOI : 10.1051/jp2:1997130

URL : https://hal.archives-ouvertes.fr/jpa-00248448

M. J. Aschwanden and C. E. Parnell, Nanoflare Statistics from First Principles: Fractal Geometry and Temperature Synthesis, The Astrophysical Journal, vol.572, issue.2, pp.1048-107110, 2002.
DOI : 10.1086/340385

M. J. Aschwanden, T. D. Tarbell, R. W. Nightingale, C. J. Schrijver, A. Title et al., Time Variability of the " Quiet " Sun Observed with TRACE. II. Physical Parameters, Temperature Evolution, and Energetics of Extreme-Ultraviolet Nanoflares, Appl. Phys. J, vol.535308867, pp.1047-106510, 1086.

M. J. Aschwanden, A. Winebarger, D. Tsiklauri, and H. Peter, The Coronal Heating Paradox, The Astrophysical Journal, vol.659, issue.2, pp.1673-168110, 2007.
DOI : 10.1086/513070

E. Bacry and J. Muzy, Log-Infinitely Divisible Multifractal Processes, Communications in Mathematical Physics, vol.236, issue.3, pp.449-475, 2003.
DOI : 10.1007/s00220-003-0827-3

URL : https://hal.archives-ouvertes.fr/hal-00012441

J. Barral and B. Mandelbrot, Multiplicative Products of Cylindrical Pulses, Probab. Theory Relat. Fields, pp.409-430, 2002.

A. O. Benz and S. Krucker, Energy Distribution of Microevents in the Quiet Solar Corona, The Astrophysical Journal, vol.568, issue.1, pp.413-421, 2002.
DOI : 10.1086/338807

A. O. Benz, S. Krucker, L. W. Acton, and T. S. Bastian, Fine structure of the X-ray and radio emissions of the quiet solar corona, Appl. Phys. J, vol.320, pp.993-1000, 1997.

D. Berghmans, Getting hot by nanoflares, in: Solar Variability: From Core to Outer Frontiers, pp.501-508, 2002.

D. Berghmans, F. Clette, M. , and D. , Quiet Sun EUV transient brightenings and turbulence. A panoramic view by EIT on board SOHO, Appl. Phys. J, vol.336, pp.1039-1055, 1998.

M. Bhm and T. Lule, Local auto-adaptive optic sensor, Patent number: 6606121, international Classification, pp.4-314, 1998.

D. Biskamp, Magnetohydrodynamic Turbulence, Magnetohydrodynamic Turbulence, p.310, 2003.

B. Castaing and B. Dubrulle, Fully Developed Turbulence: A Unifying Point of View, Journal de Physique II, vol.5, issue.7, pp.895-899, 1995.
DOI : 10.1051/jp2:1995107

URL : https://hal.archives-ouvertes.fr/jpa-00248215

B. Castaing, Y. Gagne, and E. Hopfinger, Velocity probability density functions of high Reynolds number turbulence, Physica D: Nonlinear Phenomena, vol.46, issue.2, pp.177-200, 1990.
DOI : 10.1016/0167-2789(90)90035-N

P. Chainais, Multidimensional infinitely divisible cascades Application to the modelling of intermittency in turbulence, Eur, J. Phys. B, vol.51, pp.229-243, 2006.

P. Chainais, Infinitely Divisible Cascades to Model the Statistics of Natural Images, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.12, pp.2105-2119, 2007.
DOI : 10.1109/TPAMI.2007.1113

P. Chainais, P. Abry, and J. And-pinton, Intermittency and coherent structures in a swirling flow: A wavelet analysis of joint pressure and velocity measurements, Physics of Fluids, vol.11, issue.11, pp.3524-3539, 1999.
DOI : 10.1063/1.870210

P. Chainais, R. Riedi, and P. Abry, On Non-Scale-Invariant Infinitely Divisible Cascades, Int. Symp. on Physics in Signal and Image Processing, 2003.
DOI : 10.1109/TIT.2004.842570

P. Chainais, R. Riedi, and P. Abry, On Non-Scale-Invariant Infinitely Divisible Cascades, IEEE Transactions on Information Theory, vol.51, issue.3, pp.1063-1083, 2005.
DOI : 10.1109/TIT.2004.842570

G. Consolini, M. F. Marcucci, and M. Candidi, Multifractal Structure of Auroral Electrojet Index Data, Physical Review Letters, vol.76, issue.21, pp.4082-4085, 1996.
DOI : 10.1103/PhysRevLett.76.4082

I. Daubechies, Ten Lectures on Wavelets, 1992.

C. E. Deforest, J. Ere, G. E. Artzner, J. Brunaud, A. H. Gabriel et al., Delaboudinì, On the Size of Structures in the Solar Corona., and van Dessel, E. L.: EIT: Extreme-Ultraviolet Imaging Telescope for the SOHO Mission, Solar Phys, pp.532-54210, 1995.

V. Delouille, P. Chainais, and J. Hochedez, Spatial and temporal noise in solar EUV observations, Solar Phys, pp.441-455, 2008.

T. Dudok-de-wit, Can high-order moments be meaningfully estimated from experimental turbulence measurements?, Physical Review E, vol.70, issue.5
DOI : 10.1103/PhysRevE.70.055302

G. Einaudi and M. Velli, Nanoflares and current sheet dissipation, Space Science Reviews, vol.13, issue.1-4, pp.97-10210, 1994.
DOI : 10.1007/BF00749122

G. Einaudi, M. Velli, H. Politano, and A. Pouquet, Energy Release in a Turbulent Corona, The Astrophysical Journal, vol.457, issue.2, pp.10-1086, 1996.
DOI : 10.1086/309893

A. Feldmann, A. Gilbert, and W. Willinger, Data networks as cascades: investigating the multifractal nature of internet WAN traffic, Proceedings of the ACM/SIGCOMM'98, 1998.

G. Finger, H. Mehrgan, M. , M. Moorwood, A. et al., Performance of large-format HgCdTe and InSb arrays for low-background applications, Optical and IR Telescope Instrumentation and Detectors, pp.1280-1297, 2000.
DOI : 10.1117/12.395445

M. K. Georgoulis, Turbulence In The Solar Atmosphere: Manifestations And Diagnostics Via Solar Image Processing, Solar Physics, vol.427, issue.1-2, pp.5-27, 2005.
DOI : 10.1007/s11207-005-2513-4

S. F. Gissot and J. Hochedez, Multiscale optical flow probing of dynamics in solar EUV images. Algorithm, calibration, and first results, Appl. Phys. J, vol.464, pp.1107-111810, 2007.

L. Golub, G. Nystrom, M. Herant, K. Kalata, and I. Lovas, Sub-arcsecond observations of the solar X-ray corona, Nature, vol.344, issue.6269, pp.842-84410344842, 1038.
DOI : 10.1038/344842a0

D. O. Gomez, P. C. Martens, and L. Golub, Normal incidence X-ray telescope power spectra of X-ray emission from solar active regions. I - Observations. II - Theory, The Astrophysical Journal, vol.405, pp.767-78110, 1993.
DOI : 10.1086/172405

J. Grazzini, A. Turiel, H. Yahia, and I. Herlin, A multifractal approach for extracting relevant textural areas in satellite meteorological images, Environmental Modelling & Software, vol.22, issue.3, pp.323-333, 2007.
DOI : 10.1016/j.envsoft.2005.07.032

URL : https://hal.archives-ouvertes.fr/inria-00423739

J. Hochedez, P. Lemaire, E. Pace, U. Schühle, and E. Verwichte, Wide bandgap EUV and VUV imagers for the Solar Orbiter, in: Solar encounter, Proceedings of the First Solar Orbiter Workwww .ann-geophys.net, pp.3169-3184, 2008.

V. Delouille, High resolution coronal imaging shop, pp.245-250, 2001.

S. Jaffard, Multifractal Formalism for Functions Part I: Results Valid For All Functions, SIAM Journal on Mathematical Analysis, vol.28, issue.4, pp.944-998, 1997.
DOI : 10.1137/S0036141095282991

A. N. Kolmogorov, A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number, Journal of Fluid Mechanics, vol.30, issue.01, pp.82-85, 1962.
DOI : 10.1017/S0022112062000518

S. Krucker and A. O. Benz, Energy Distribution of Heating Processes in the Quiet Solar Corona, The Astrophysical Journal, vol.501, issue.2, pp.10-1086, 1998.
DOI : 10.1086/311474

B. Lashermes, P. Abry, C. , and P. , NEW INSIGHTS INTO THE ESTIMATION OF SCALING EXPONENTS, International Journal of Wavelets, Multiresolution and Information Processing, vol.02, issue.04, pp.497-523, 2004.
DOI : 10.1142/S0219691304000597

J. Lawrence, A. Cadavid, and A. Ruzmaikin, Multiplicative cascade models of multifractal solar magnetic fields, Physical Review E, vol.51, issue.1, 1995.
DOI : 10.1103/PhysRevE.51.316

S. Mallat, A Wavelet Tour of Signal Processing, 1998.

S. G. Mallat and W. L. Hwang, Singularity detection and processing with wavelets, IEEE Transactions on Information Theory, vol.38, issue.2, pp.617-643, 1992.
DOI : 10.1109/18.119727

R. T. Mcateer, P. T. Gallagher, and J. Ireland, Statistics of Active Region Complexity: A Large???Scale Fractal Dimension Survey, The Astrophysical Journal, vol.631, issue.1, pp.628-63510, 2005.
DOI : 10.1086/432412

R. T. Mcateer, C. A. Young, J. Ireland, and P. T. Gallagher, The Bursty Nature of Solar Flare X???Ray Emission, The Astrophysical Journal, vol.662, issue.1, pp.691-70010, 2007.
DOI : 10.1086/518086

U. Mitra-kraev and A. O. Benz, A nanoflare heating model for the quiet solar corona, Astronomy and Astrophysics, vol.373, issue.1, pp.318-328, 2001.
DOI : 10.1051/0004-6361:20010524

J. Muzy and E. Bacry, Multifractal stationary random measures and multifractal random walks with log infinitely divisible scaling laws, Physical Review E, vol.66, issue.5, p.66, 2002.
DOI : 10.1103/PhysRevE.66.056121

E. N. Parker, Nanoflares and the solar X-ray corona, The Astrophysical Journal, vol.330, pp.474-47910, 1988.
DOI : 10.1086/166485

E. R. Priest, J. F. Heyvaerts, and A. M. Title, A Flux???Tube Tectonics Model for Solar Coronal Heating Driven by the Magnetic Carpet, The Astrophysical Journal, vol.576, issue.1, pp.533-55110, 2002.
DOI : 10.1086/341539

R. H. Riedi, Theory and applications of long range dependence, chap. Multifractal processes, pp.625-716, 2003.

S. Roux, A. Arneodo, and N. Decoster, A wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure, The European Physical Journal B, vol.15, issue.4, pp.765-786, 2000.
DOI : 10.1007/s100510051180

F. Schmitt, A causal multifractal stochastic equation and its statistical properties, The European Physical Journal B - Condensed Matter, vol.34, issue.1, pp.85-98, 2003.
DOI : 10.1140/epjb/e2003-00199-x

URL : https://hal.archives-ouvertes.fr/hal-00114539

F. Schmitt and P. Chainais, On causal stochastic equations for log-stable multiplicative cascades, The European Physical Journal B, vol.21, issue.2, pp.149-158, 2007.
DOI : 10.1140/epjb/e2007-00205-5

URL : https://hal.archives-ouvertes.fr/hal-00264853

F. Schmitt and D. Marsan, Stochastic equations generating continuous multiplicative cascades, Eur. Phys. J. B, vol.20, pp.3-6, 2001.

A. Srivastava, A. Lee, E. Simoncelli, and S. Zhu, On advances in statistical modeling of natural images, Journal of Mathematical Imaging and Vision, vol.18, issue.1, pp.17-33, 2003.
DOI : 10.1023/A:1021889010444

A. Turiel, G. Mato, and N. Parga, Self-Similarity Properties of Natural Images Resemble Those of Turbulent Flows, Physical Review Letters, vol.80, issue.5, pp.1098-1101, 1998.
DOI : 10.1103/PhysRevLett.80.1098

URL : https://hal.archives-ouvertes.fr/hal-00143846

L. Vlahos and M. K. Georgoulis, On the Self-Similarity of Unstable Magnetic Discontinuities in Solar Active Regions, The Astrophysical Journal, vol.603, issue.1, pp.61-6410, 2004.
DOI : 10.1086/383032

E. Yordanova, M. Grzesiak, A. Wernik, B. Popielawska, and K. Stasiewicz, Multifractal structure of turbulence in the magnetospheric cusp, Annales Geophysicae, vol.22, issue.7, pp.2431-2440, 2004.
DOI : 10.5194/angeo-22-2431-2004

URL : https://hal.archives-ouvertes.fr/hal-00317491