Geodesic
Hierarchy of time scales in the case of weak diffusion
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 219-230 
V. A. Buslov; K. A. Makarov. Hierarchy of time scales in the case of weak diffusion. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 219-230. http://geodesic.mathdoc.fr/item/TMF_1988_76_2_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The variational method is used to calculate the asymptotic behavior of the lowest eigenvalues and eigenfunctions of the diffusion operator in the case of a small diffusion coefficient. It is shown that for certain time scales the diffusion process can be replaced by Markov processes with finite number of states.

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