@article{AIHPB_1988__24_3_403_0, author = {Mikami, Toshio}, title = {Asymptotic expansions of the invariant density of a {Markov} process with a small parameter}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {403--424}, publisher = {Gauthier-Villars}, volume = {24}, number = {3}, year = {1988}, mrnumber = {971101}, zbl = {0653.60027}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1988__24_3_403_0/} }
TY - JOUR AU - Mikami, Toshio TI - Asymptotic expansions of the invariant density of a Markov process with a small parameter JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1988 SP - 403 EP - 424 VL - 24 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1988__24_3_403_0/ LA - en ID - AIHPB_1988__24_3_403_0 ER -
%0 Journal Article %A Mikami, Toshio %T Asymptotic expansions of the invariant density of a Markov process with a small parameter %J Annales de l'I.H.P. Probabilités et statistiques %D 1988 %P 403-424 %V 24 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1988__24_3_403_0/ %G en %F AIHPB_1988__24_3_403_0
Mikami, Toshio. Asymptotic expansions of the invariant density of a Markov process with a small parameter. Annales de l'I.H.P. Probabilités et statistiques, Tome 24 (1988) no. 3, pp. 403-424. http://archive.numdam.org/item/AIHPB_1988__24_3_403_0/
[1] On the Asymptotic Relation Between Equilibrium Density and Exit Measure in the Exit Problem, Stochastics, Vol. 2, 1984, pp. 303-330. | MR | Zbl
,[2] Recent Progress on the Small Parameters Exit Problem, Stochastics, Vol. 20, 1987, pp. 121-150. | MR | Zbl
,[3] Localization Results for Densities Associated with Stable Small-Noise Diffusions, preprint. | MR
,[4] Random Perturbations of Dynamical Systems, Springer-Verlag, New York, 1984. | MR | Zbl
and ,[5] Stochastic Stability of Differential Equations, SIJTHOFF and NOORDHOFF Eds., Alphen ann den Rijn, the Netherlands, 1980. | MR
,[6] Analysis of Wiener Functionals (Malliavin Calculus) and its Applications to Heat Kernel, The Annals of Probability, Vol. 15, 1987, No. 1, pp. 1-39. | MR | Zbl
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