M. Abramowitz and A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, 1972.

F. M. Bandi and P. C. Phillips, Fully Nonparametric Estimation of Scalar Diffusion Models, Econometrica, vol.71, issue.1, pp.241-283, 2003.
DOI : 10.1111/1468-0262.00395

G. Banon, Nonparametric Identification for Diffusion Processes, SIAM Journal on Control and Optimization, vol.16, issue.3, pp.380-395, 1978.
DOI : 10.1137/0316024

Y. Baraud, F. Comte, and G. Viennet, Adaptive estimation in autoregression or ?-mixing regression via model selection, Ann. Statist, vol.29, pp.839-875, 2001.

Y. Baraud, F. Comte, and G. Viennet, Model selection for (auto-)regression with dependent data, ESAIM: Probability and Statistics, vol.5, pp.33-49, 2001.
DOI : 10.1051/ps:2001101

URL : https://hal.archives-ouvertes.fr/hal-00170758

M. T. Barlow and M. Yor, Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times, Journal of Functional Analysis, vol.49, issue.2, pp.198-229, 1982.
DOI : 10.1016/0022-1236(82)90080-5

O. E. Barndorff-nielsen, Hyperbolic distributions and distributions on hyperbolae, Scand. J. Statist, vol.5, pp.151-157, 1978.

A. R. Barron, L. Birgé, and P. Massart, Risk bounds for model selection via penalization, Probability Theory and Related Fields, vol.113, issue.3, pp.301-413, 1999.
DOI : 10.1007/s004400050210

A. Beskos, O. Papaspiliopoulos, and G. O. Roberts, Retrospective exact simulation of diffusion sample paths with applications, Bernoulli, vol.12, issue.6, pp.1077-1098, 2006.
DOI : 10.3150/bj/1165269151

A. Beskos and G. O. Roberts, Exact simulation of diffusions, The Annals of Applied Probability, vol.15, issue.4, pp.2422-2444, 2005.
DOI : 10.1214/105051605000000485

B. M. Bibby, M. Jacobsen, and M. Sørensen, Estimating Functions for Discretely Sampled Diffusion-Type Models, Handbook of Financial Econometrics, pp.203-268, 2009.
DOI : 10.1016/B978-0-444-50897-3.50007-9

B. M. Bibby and M. Sørensen, Martingale Estimation Functions for Discretely Observed Diffusion Processes, Bernoulli, vol.1, issue.1/2, pp.17-39, 1995.
DOI : 10.2307/3318679

L. Birgé and P. Massart, Minimum Contrast Estimators on Sieves: Exponential Bounds and Rates of Convergence, Bernoulli, vol.4, issue.3, pp.329-375, 1998.
DOI : 10.2307/3318720

F. Comte, Adaptive Estimation of the Spectrum of a Stationary Gaussian Sequence, Bernoulli, vol.7, issue.2, pp.267-298, 2001.
DOI : 10.2307/3318739

URL : https://hal.archives-ouvertes.fr/hal-00170751

F. Comte, V. Genon-catalot, and Y. Rozenholc, Nonparametric estimation of a discretely observed integrated diffusion model, 2006.

F. Comte, V. Genon-catalot, and Y. Rozenholc, Penalized nonparametric mean square estimation of the coefficients of diffusion processes, Bernoulli, vol.13, issue.2, pp.514-543, 2007.
DOI : 10.3150/07-BEJ5173

URL : https://hal.archives-ouvertes.fr/hal-00748947

F. Comte and Y. Rozenholc, Adaptive estimation of mean and volatility functions in (auto-)regressive models, Stochastic Processes and their Applications, vol.97, issue.1, pp.111-145, 2002.
DOI : 10.1016/S0304-4149(01)00128-4

URL : https://hal.archives-ouvertes.fr/hal-00748963

F. Comte and Y. Rozenholc, A new algorithm for fixed design regression and denoising, Annals of the Institute of Statistical Mathematics, vol.63, issue.2, pp.449-473, 2004.
DOI : 10.1007/BF02530536

URL : https://hal.archives-ouvertes.fr/hal-00748959

A. Dalalyan, Sharp adaptive estimation of the drift function for ergodic diffusions, The Annals of Statistics, vol.33, issue.6, pp.2507-2528, 2005.
DOI : 10.1214/009053605000000615

URL : https://hal.archives-ouvertes.fr/hal-00022066

R. A. Devore and G. G. Lorentz, Constructive Approximation, 1993.

D. Florens-zmirou, On estimating the diffusion coefficient from discrete observations, Journal of Applied Probability, vol.25, issue.04, pp.790-804, 1993.
DOI : 10.1080/17442508608833428

V. Genon-catalot, T. Jeantheau, and C. Larédo, Stochastic Volatility Models as Hidden Markov Models and Statistical Applications, Bernoulli, vol.6, issue.6, pp.1051-1079, 2000.
DOI : 10.2307/3318471

URL : https://hal.archives-ouvertes.fr/hal-00693752

V. Genon-catalot, C. Larédo, and D. Picard, Nonparametric estimation of the diffusion coefficient by wavelet methods, Scand. J. Statist, vol.19, pp.319-335, 1992.

E. Gobet, M. Hoffmann, and M. Reiß, Nonparametric estimation of scalar diffusions based on low frequency data, Ann. Statist, vol.32, pp.2223-2253, 2004.

M. Hoffmann, Adaptive estimation in diffusion processes, Stochastic Processes and their Applications, vol.79, issue.1, pp.135-163, 1999.
DOI : 10.1016/S0304-4149(98)00074-X

URL : http://doi.org/10.1016/s0304-4149(98)00074-x

J. Jacod, Non-parametric Kernel Estimation of the Coefficient of a Diffusion, Scandinavian Journal of Statistics, vol.27, issue.1, pp.83-96, 2000.
DOI : 10.1111/1467-9469.00180

S. Karlin and H. M. Taylor, A Second Course in Stochastic Processes, 1981.

M. Kessler and M. Sørensen, Estimating Equations Based on Eigenfunctions for a Discretely Observed Diffusion Process, Bernoulli, vol.5, issue.2, pp.299-314, 1999.
DOI : 10.2307/3318437

Y. A. Kutoyants, Statistical Inference for Ergodic Diffusion Processes, 2004.
DOI : 10.1007/978-1-4471-3866-2

E. Pardoux and A. Y. Veretennikov, On the Poisson equation and diffusion approximation. I. Ann, Probab, vol.29, pp.1061-1085, 2001.

P. Rao and B. L. , Statistical Inference for Fractional Diffusion Processes, 2010.
DOI : 10.1002/9780470667125

V. G. Spokoiny, model, The Annals of Statistics, vol.28, issue.3, pp.815-836, 2000.
DOI : 10.1214/aos/1015951999

URL : https://hal.archives-ouvertes.fr/inria-00073257

P. D. Tuan, Nonparametric estimation of the drift coefficient in the diffusion equation, Math. Operationsforsch. Statist., Ser. Statistics, vol.12, pp.61-73, 1981.