Ergodic expansions in small noise problems

Ergodic expansions in small noise problems
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小噪声问题中的遍历展开

DOI:
10.1016/0022-0396(74)90015-1
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发表时间:
1974
影响因子:
2.4
通讯作者:
C. Holland
C. Holland
中科院分区:
数学2区
文献类型:
--
作者:
C. Holland

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A class of stochastic differential equations is considered which arises by adding an additive white noise term with a small noise coefficient (2ϵ) 1 2 B and for which there exists a unique ergodic measure. An expansion in powers of ϵ of the expectations of functions with respect to the invariant measure is established. This paper was suggested by work of Fleming in which the corresponding finite time expansions were proven.