Geodesic
The first boundary exit point of a diffusion process with small diffusion
Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 411-420 Cet article a éte moissonné depuis la source Math-Net.Ru

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A diffusion process with a drift $b(x)$ and small diffusion sooner or later reaches the boundary of a region containing a stable position of equilibrium of the dynamical system $\dot x_t=b(x_t)$. The first exit point belongs to a small part of the boundary (see [1, 2]). An estimate of the order of the size of this part is given. 
@article{MZM_1977_22_3_a10,
     author = {A. D. Venttsel'},
     title = {The first boundary exit point of a~diffusion process with small diffusion},
     journal = {Matemati\v{c}eskie zametki},
     pages = {411--420},
     year = {1977},
     volume = {22},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a10/}
}
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A. D. Venttsel'. The first boundary exit point of a diffusion process with small diffusion. Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 411-420. http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a10/