A. Ayache and J. L. Véhel, The generalized multifractional Brownian motion, Statistical Inference for Stochastic Processes, vol.3, issue.1/2, pp.7-18, 2000.
DOI : 10.1023/A:1009901714819

URL : https://hal.archives-ouvertes.fr/inria-00559108

A. Benassi, S. Cohen, J. Istas, and S. Jaffard, Identification of filtered white noises, Stochastic Processes and their Applications, vol.75, issue.1, pp.31-49, 1998.
DOI : 10.1016/S0304-4149(97)00123-3

A. Benassi, S. Jaffard, and D. Roux, Gaussian processes and Pseudodifferential Elliptic operators, Revista Mathematica Iberoamericana, vol.13, issue.1, pp.19-89, 1997.

D. Benson, M. M. Meerschaert, B. Bäumer, and H. P. Scheffler, Aquifer operator scaling and the effect on solute mixing and dispersion, Water Resources Research, vol.32, issue.12, pp.1-18, 2006.
DOI : 10.1029/2004WR003755

H. Biermé and C. Lacaux, H??lder regularity for operator scaling stable random fields, Stochastic Processes and their Applications, vol.119, issue.7, pp.2222-2248, 2009.
DOI : 10.1016/j.spa.2008.10.008

H. Biermé, M. M. Meerschaert, and H. P. Scheffler, Operator scaling stable random fields, Stochastic Processes and their Applications, vol.117, issue.3, pp.312-332, 2007.
DOI : 10.1016/j.spa.2006.07.004

B. Brunet-imbault, G. Lemineur, C. Chappard, R. Harba, and C. L. Benhamou, A new anisotropy index on trabecular bone radiographic images using the fast Fourier transform, BMC Medical Imaging, vol.58, issue.1, 2005.
DOI : 10.1007/s002239900053

URL : https://hal.archives-ouvertes.fr/inserm-00090466

T. Candela, F. Renard, M. Bouchon, A. Brouste, D. Marsan et al., Characterization of fault roughness at various scales: Implications of three-dimensional high resolution topography measurements, Pure and Applied Geophysics, vol.166, pp.10-111817, 2009.
URL : https://hal.archives-ouvertes.fr/insu-00410954

P. Chainais, E. Koenig, V. Delouille, and J. Hochedez, Virtual Super Resolution of Scale Invariant Textured Images Using Multifractal Stochastic Processes, Journal of Mathematical Imaging and Vision, vol.89, issue.8, pp.28-44, 2011.
DOI : 10.1007/s10851-010-0222-6

URL : https://hal.archives-ouvertes.fr/hal-00707631

E. Herbin and J. Lévy, Stochastic 2-microlocal analysis, Stochastic Processes and their Applications, vol.119, issue.7, pp.2277-2311, 2009.
DOI : 10.1016/j.spa.2008.11.005

URL : https://hal.archives-ouvertes.fr/hal-00862545

A. N. Kolmogorov, Wienersche Spiralen und einige andere interessante Kurven in Hilbertsche Raum, C. R. (Dokl.) Acad. Sci. URSS, vol.26, pp.115-118, 1940.

N. Kôno, On the modulus of continuity of sample functions of Gaussian processes, Journal of Mathematics of Kyoto University, vol.10, issue.3, pp.493-536, 1970.
DOI : 10.1215/kjm/1250523731

N. Kôno and M. Maejima, H??lder Continuity of Sample Paths of Some Self-Similar Stable Processes, Tokyo Journal of Mathematics, vol.14, issue.1, pp.93-100, 1991.
DOI : 10.3836/tjm/1270130491

C. Lacaux, Real harmonizable multifractional Lévy motions Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, pp.259-277, 2004.
DOI : 10.1016/s0246-0203(03)00064-5

R. Lepage, Multidimensional infinitely divisidle variables and processes Part II, Probability in Banach spaces, pp.279-284, 1980.
DOI : 10.1090/S0002-9947-1969-0238365-3

R. Lepage, Conditional moments for coordinates of stable vectors, Probability theory on vector spaces, pp.148-163, 1987.
DOI : 10.1214/aop/1176994367

J. and L. Véhel, Fractals in engineering: from theory to industrial applications, 1997.

B. B. Mandelbrot and J. Van-ness, Fractional Brownian Motions, Fractional Noises and Applications, SIAM Review, vol.10, issue.4, pp.422-437, 1968.
DOI : 10.1137/1010093

M. M. Meerschaert and H. P. Scheffler, Limit distributions for sums of independent random vectors Wiley Series in Probability and Statistics: Probability and Statistics Heavy tails in theory and practice, 2001.

T. Mikosch, S. Resnick, H. Rootzén, and A. Stegeman, Is network traffic approximated by stable Lévy motion or fractional Brownian motion?, Ann. Appl. Probab, vol.12, issue.1, pp.23-68, 2002.
DOI : 10.1214/aoap/1015961155

URL : http://projecteuclid.org/download/pdf_1/euclid.aoap/1015961155

S. Pecknold, S. Lovejoy, D. Schertzer, C. Hooge, and J. F. Malouin, The simulation of universal multifractals. Cellular Automata: Prospects in Astrophysical Applications, pp.228-267, 1993.

R. F. Peltier and J. L. Véhel, Multifractional Brownian motion: definition and preliminary results, 1996.
URL : https://hal.archives-ouvertes.fr/inria-00074045

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

G. Samorodnitsky and M. S. Taqqu, Stable non-Gaussian random processes. Stochastic Modeling, 1994.

S. Stoev and M. S. Taqqu, PATH PROPERTIES OF THE LINEAR MULTIFRACTIONAL STABLE MOTION, Fractals, vol.13, issue.02, pp.157-178, 2005.
DOI : 10.1142/S0218348X05002775

W. Willinger, V. Paxson, and M. S. Taqqu, Self-similarity and heavy tails: Structural modeling of network traffic, A practical guide to heavy tails, pp.27-53, 1995.

Y. Xiao, Uniform modulus of continuity of random fields, Monatshefte f??r Mathematik, vol.XV, issue.1-2, pp.163-184, 2010.
DOI : 10.1007/s00605-009-0133-z

Y. Xiao, Properties of Strong Local Nondeterminism and Local Times of Stable Random Fields, Seminar on Stochastic Analysis, Random Fields and Applications VI, pp.279-308, 2011.
DOI : 10.1007/978-3-0348-0021-1_18

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