Geodesic
On~rate of mixing and the averaging principle for hypoelliptic stochastic differential equations
Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 221-231

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Exponential estimates are obtained for the strong mixing coefficient and the coefficient of complete regularity for diffusion processes with degenerate diffusion that are stable in a certain sense. An averaging principle for Itô stochastic equations is obtained with the help of these estimates. Bibliography: 15 titles. 
@article{IM2_1989_33_2_a0,
     author = {A. Yu. Veretennikov},
     title = {On~rate of mixing and the averaging principle for hypoelliptic stochastic differential equations},
     journal = {Izvestiya. Mathematics },
     pages = {221--231},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a0/}
}
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A. Yu. Veretennikov. On~rate of mixing and the averaging principle for hypoelliptic stochastic differential equations. Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 221-231. http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a0/