Stochastic Dynamical Systems in Infinite Dimensions
نویسندگان
چکیده
In this article, we summarize some results on the existence and qualitative behavior of stochastic dynamical systems in infinite dimensions. The three main examples covered are stochastic systems with finite memory (stochastic functional differential equations-sfde’s), semilinear stochastic evolution equations (see’s) and stochastic partial differential equations (spde’s). Due to limitations of space, our summary is by no means intended to be exhaustive: The emphasis will be mainly on the local behavior of infinite-dimensional stochastic dynamical systems near hyperbolic equilibria (or stationary solutions). The main highlights of the article are:
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