一个简单的框架来证明线性响应理论
A simple framework to justify linear response theory
摘要：
通过涨落耗散定理将线性响应理论用于强迫耗散随机动力系统是系统研究气候变化的一种有吸引力的方法。在这里，一个数学上严格的理由强迫耗散随机动力系统的线性响应理论的发展。主要结果制定在一个抽象的设置和适用于合适的系统，在有限和无限的维度，是在气候变化科学和其他应用的兴趣。
英文摘要：
The use of linear response theory for forced dissipative stochastic dynamical systems through the fluctuation dissipation theorem is an attractive way to study climate change systematically among other applications. Here, a mathematically rigorous justification of linear response theory for forced dissipative stochastic dynamical systems is developed. The main results are formulated in an abstract setting and apply to suitable systems, in finite and infinite dimensions, that are of interest in climate change science and other applications.
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