V. I. Bogachev, Gaussian measures, volume 62 of Mathematical Surveys and Monographs, 1998.

P. Cheridito, Gaussian moving averages, semimartingales and option pricing, Stochastic Process. Appl, vol.109, issue.1, pp.47-68, 2004.
DOI : 10.1016/j.spa.2003.08.002

URL : https://doi.org/10.1016/j.spa.2003.08.002

A. Cherny, Brownian moving averages have conditional full support, Ann. Appl. Probab, vol.18, issue.5, pp.1825-1830, 2008.
DOI : 10.1214/07-aap502

URL : https://doi.org/10.1214/07-aap502

S. Cohen and F. Panloup, Approximation of stationary solutions of Gaussian driven stochastic differential equations, Stochastic Process. Appl, vol.121, issue.12, pp.2776-2801, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00441180

F. Comte and N. Marie, Nonparametric estimation in fractional SDE, Stat. Inference Stoch. Process, pp.1-24, 2019.
DOI : 10.1007/s11203-019-09196-y

URL : https://hal.archives-ouvertes.fr/hal-01806321

H. Cramér, On some classes of nonstationary stochastic processes, Proceedings of the Fourth Berkeley symposium on mathematical statistics and probability, vol.2, pp.57-78, 1961.

A. Deya, F. Panloup, and S. Tindel, Rate of convergence to equilibrium of fractional driven stochastic differential equations with rough multiplicative noise, Ann. Probab, vol.47, issue.1, pp.464-518, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01309650

J. Fontbona and F. Panloup, Rate of convergence to equilibrium of fractional driven stochastic differential equations with some multiplicative noise, Ann. Inst. H. Poincaré Probab. Statist, vol.53, issue.2, pp.503-538, 2017.
URL : https://hal.archives-ouvertes.fr/hal-00989414

E. G. Gladyshev, On multi-dimensional stationary random processes, Theory Probab. Appl, vol.3, issue.4, pp.425-428, 1958.
DOI : 10.1137/1103035

M. Hairer, Ergodicity of stochastic differential equations driven by fractional Brownian motion, Ann. Probab, vol.33, issue.2, pp.703-758, 2005.
DOI : 10.1214/009117904000000892

URL : https://doi.org/10.1214/009117904000000892

M. Hairer and A. Ohashi, Ergodic theory for SDEs with extrinsic memory, Ann. Probab, vol.35, issue.5, pp.1950-1977, 2007.
DOI : 10.1214/009117906000001141

URL : https://doi.org/10.1214/009117906000001141

M. Hairer and N. S. Pillai, Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths, Ann. Probab, vol.41, issue.4, pp.2544-2598, 2013.

Y. Hu, D. Nualart, and H. Zhou, Drift parameter estimation for nonlinear stochastic differential equations driven by fractional Brownian motion, Stochastics, pp.1-25, 2019.
DOI : 10.1080/17442508.2018.1563606

URL : http://arxiv.org/pdf/1803.01032

S. Janson, Gaussian Hilbert Spaces, vol.129, 1997.
DOI : 10.1017/cbo9780511526169

M. Ledoux, Isoperimetry and Gaussian analysis, Lectures on probability theory and statistics -École d'été de Probabilités de St. Flour XXIV -1994, pp.165-294, 1996.
DOI : 10.1007/bfb0095676

V. Wembo, Q. Li, and . Shao, Gaussian processes: Inequalities, small ball probabilities and applications, Stochastic Processes: Theory and Methods, vol.19, pp.533-597, 2001.

P. Masani, On helixes in Hilbert space, I. Theory Probab. Appl, vol.17, issue.1, pp.1-19, 1972.
DOI : 10.1137/1117001

P. Sean, R. L. Meyn, and . Tweedie, Markov Chains and Stochastic Stability, 2012.

S. Dragoslav, J. D. Mitrinovic, and . Keckic, The Cauchy method of residues: Theory and applications, Mathematics and its Applications, vol.9, 1984.

A. Neuenkirch and S. Tindel, A least square-type procedure for parameter estimation in stochastic differential equations with additive fractional noise, Stat. Inference Stoch. Process, vol.17, issue.1, pp.99-120, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00639030

M. Talagrand, New Gaussian estimates for enlarged balls, Geom. Funct. Anal, vol.3, issue.5, pp.502-526, 1993.

A. B. Tsybakov, Introduction to Nonparametric Estimation, Springer Series in Statistics, 2009.

M. Varvenne, Rate of convergence to equilibrium for discrete-time stochastic dynamics with memory, Bernoulli, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01588505