R. J. Adler and J. E. Taylor, Random Fields and Geometry, 2007.
DOI : 10.1137/1.9780898718980

A. Ayache, S. Cohen, and J. L. Véhel, The covariance structure of multifractional Brownian motion, with application to long range dependence, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2000.
DOI : 10.1109/ICASSP.2000.860233

URL : https://hal.archives-ouvertes.fr/inria-00581032

A. Ayache and M. S. Taqqu, Multifractional processes with random exponent, Publicacions Matem??tiques, vol.49, pp.459-486, 2001.
DOI : 10.5565/PUBLMAT_49205_11

A. Benassi, S. Jaffard, and D. Roux, Elliptic gaussian random processes, Revista Matem??tica Iberoamericana, vol.13, pp.19-89
DOI : 10.4171/RMI/217

G. R. Bianchi, F. H. Vieira, and L. L. Ling, A novel network traffic predictor based on multifractal traffic characteristic, Global Telecommunications Conference apos;04, GLOBECOM IEEE, vol.2, pp.680-684, 2004.

S. Bianchi and A. Pianese, MULTIFRACTIONAL PROPERTIES OF STOCK INDICES DECOMPOSED BY FILTERING THEIR POINTWISE H??LDER REGULARITY, International Journal of Theoretical and Applied Finance, vol.11, issue.06, pp.567-595, 2008.
DOI : 10.1142/S0219024908004932

J. M. Bony, Second microlocalization and propagation of singularities for semilinear hyperbolic equations, Hyperbolic equations and related topics, pp.11-49, 1984.

B. Boufoussi, M. Dozzi, and R. Guerbaz, Sample path properties of the local time of multifractional Brownian motion, Bernoulli, vol.13, issue.3, 2007.
DOI : 10.3150/07-BEJ6140

URL : https://hal.archives-ouvertes.fr/hal-00098675

M. Dozzi, Occupation density and sample path properties of N-parameter processes, Topics in Spatial Stochastic Processes, 2003.

R. M. Dudley, Sample Functions of the Gaussian Process, The Annals of Probability, vol.1, issue.1, pp.66-103, 1973.
DOI : 10.1214/aop/1176997026

A. Echelard, Analyse 2-microlocale et application au débruitage Available at, 2007.

E. Herbin, From $N$ Parameter Fractional Brownian Motions to $N$ Parameter Multifractional Brownian Motions, Rocky Mountain Journal of Mathematics, vol.36, issue.4, pp.1249-1284, 2006.
DOI : 10.1216/rmjm/1181069415

URL : https://hal.archives-ouvertes.fr/hal-00539236

S. Jaffard, Pointwise smoothness, two-microlocalization and wavelet coefficients, Publicacions Matem??tiques, vol.35, issue.1, pp.155-168, 1991.
DOI : 10.5565/PUBLMAT_35191_06

D. Khoshnevisan, Multiparameter processes: an introduction to random fields, 2002.
DOI : 10.1007/b97363

K. Kolwankar and J. L. Véhel, A Time Domain Characterization of the Fine Local Regularity of Functions, Journal of Fourier Analysis and Applications, vol.8, issue.4, pp.319-334, 2002.
DOI : 10.1007/s00041-002-0016-3

J. , L. Véhel, and S. Seuret, The 2-microlocal formalism, Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot, Proc. Sympos. Pure Math., PSPUM, pp.153-215, 2004.

M. Meerschaert, D. Wu, and Y. Xiao, Local times of multifractional Brownian sheets, Preprint, 2007.

R. Peltier and J. Lévy, Multifractional Brownian motion : definition and preliminary results, 1995.
URL : https://hal.archives-ouvertes.fr/inria-00074045

S. Stoev and M. S. Taqqu, Stochastic properties of the linear multifractional stable motion, Advances in Applied Probability, vol.8, issue.04, pp.1085-1115, 2004.
DOI : 10.1109/90.392383

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

M. Talagrand, Majorizing measures: the generic chaining, The Annals of Probability, vol.24, issue.3, pp.1049-1103, 1996.
DOI : 10.1214/aop/1065725175

Y. Xiao, Sample Path Properties of Anisotropic Gaussian Random Fields, 2007.
DOI : 10.1007/978-3-540-85994-9_5

P. Ecole-centrale, Grande Voie des Vignes, 92295 Châtenay-Malabry, France E-mail address: erick.herbin@gmail, com Projet APIS