@article{oai:ynu.repo.nii.ac.jp:00006875,
 author = {Narita, K.},
 issue = {1},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, Two kinds of the stochastic differential equations of the McKean type are considered. The one contains a large parameter ＄a>0＄ and describes the state of the particle in two dimension by its position and velocity variables, corresponding to the Fokker-Planck equation known as the Kramers equation. Here the phase variables split into the slow position and the fast velocity. The other describes the limit system of the position variable in one dimension as ＄￥alpha￥rightarrow￥infty＄ , corresponding to the Fokker-Planck equation known as the Smoluchowski equation. For the position variable, the limit   distributions of the fluctuation and the deviation from the limit system are obtained, with the help of estimates for the rate of decay of the remainder term. For the velocity variable, the limit distributions of the rescaled processes and thestability over an infinite time interval are obtained.},
 pages = {41--76},
 title = {ASYMPTOTIC BEHAVIOR OF FLUCTUATION AND DEVIATION FROM LIMIT SYSTEM IN THE SMOLUCHOWSKI-KRAMERS APPROXIMATION FOR SDE},
 volume = {42},
 year = {1994}
}