In Chap. 7, rapidly oscillating stochastic perturbations of dynamical systems are considered. Results of the law-of-large-numbers type, those of central-limit theorem type, and large-deviation results are obtained. Those last results are applied to the asymptotics of the behavior of the perturbed dynamical system on growing time intervals.
Keywords
- Markov Process
- Invariant Measure
- Gaussian Process
- Equilibrium Position
- Stochastic Differential Equation
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