P. Berge, Y. Pomeau, and C. Vidal, Order within chaos: Towards a deterministic approach to turbulence, 1987.

J. Boussinesq, Essai sur la th?orie des eaux courantes. Mémoires présentés par divers savantsàsavants`savantsà l'Académie des Sciences, pp.1-680

C. Franzke, O. Kane, T. Berner, J. Williams, P. Lucarini et al., Stochastic climate theory and modeling, Wiley Interdisciplinary Reviews: Climate Change, vol.366, issue.1, pp.304-63, 2015.
DOI : 10.1098/rsta.2008.0035
URL : http://onlinelibrary.wiley.com/doi/10.1002/wcc.318/pdf

B. Geurts, D. Holm, and E. Luesink, Stochastic transport v fluctuation-dissipation noise in lorenz 63, 2017.

D. Holm, Variational principles for stochastic fluid dynamics, Proc. R. Soc. A 471, pp.1364-5021, 2015.
DOI : 10.1063/1.864174
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4990712/pdf

R. Kraichnan, Small-Scale Structure of a Scalar Field Convected by Turbulence, Physics of Fluids, vol.11, issue.5, pp.945-953, 1958.
DOI : 10.1063/1.1692063

R. Kraichnan, Anomalous scaling of a randomly advected passive scalar, Physical Review Letters, vol.41, issue.7, p.1016, 1994.
DOI : 10.1103/PhysRevA.41.894

E. Lorenz, Deterministic nonperiodic flow, J. of atmos. Sci, vol.73, issue.12, pp.130-141, 1963.
DOI : 10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2
URL : http://journals.ametsoc.org/doi/pdf/10.1175/1520-0469%281963%29020%3C0130%3ADNF%3E2.0.CO%3B2

A. Majda and P. Kramer, Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena, Physics Reports, vol.314, issue.4-5, pp.237-574, 1999.
DOI : 10.1016/S0370-1573(98)00083-0

E. Mémin, Fluid flow dynamics under location uncertainty, Geophysical & Astrophysical Fluid Dynamics, vol.45, issue.2, pp.119-146, 2014.
DOI : 10.1137/0726003

B. Oksendal, Stochastic differential equations, 1998.
URL : https://hal.archives-ouvertes.fr/inria-00560229

M. Reeks, The transport of discrete particles in inhomogeneous turbulence, Journal of Aerosol Science, vol.14, issue.6, pp.729-739, 1983.
DOI : 10.1016/0021-8502(83)90055-1

V. Resseguier, E. Mémin, and B. Chapron, Geophysical flows under location uncertainty, Part I Random transport and general models, Geophysical & Astrophysical Fluid Dynamics, vol.111, issue.3, p.316, 2017.
DOI : 10.1002/qj.49712757518
URL : https://hal.archives-ouvertes.fr/hal-01391420

V. Resseguier, E. Mémin, and B. Chapron, Geophysical flows under location uncertainty, Part II Quasi-geostrophy and efficient ensemble spreading, Geophysical & Astrophysical Fluid Dynamics, vol.111, issue.3, 2017.
DOI : 10.1017/CBO9780511790447
URL : https://hal.archives-ouvertes.fr/hal-01391476

V. Resseguier, E. Mémin, and B. Chapron, Geophysical flows under location uncertainty, Part III SQG and frontal dynamics under strong turbulence conditions, Geophysical & Astrophysical Fluid Dynamics, vol.111, issue.3, 2017.
DOI : 10.1029/JC081i015p02641
URL : https://hal.archives-ouvertes.fr/hal-01391484

V. Resseguier, E. Mémin, D. Heitz, and B. Chapron, Stochastic modelling and diffusion modes for proper orthogonal decomposition models and small-scale 322 flow analysis, J. of Fluid Mech, vol.828, pp.888-917, 2017.
DOI : 10.1017/jfm.2017.467
URL : http://arxiv.org/pdf/1611.06832

J. Smagorinsky, GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS, Monthly Weather Review, vol.91, issue.3, pp.99-165, 1963.
DOI : 10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2

P. Sura, M. Newman, C. Penland, and P. Sardeshmukh, Multiplicative Noise and Non-Gaussianity: A Paradigm for Atmospheric Regimes?, Journal of the Atmospheric Sciences, vol.62, issue.5, pp.325-1391, 2005.
DOI : 10.1175/JAS3408.1