As the correlation time of Ornstein-Uhlenbeck colored noise approaches zero, the colored LIM reduces to the classical LIM and its stationary covariance obeys the standard fluctuation-dissipation relation.
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On the White-Noise Limit of the Colored Linear Inverse Model
As the correlation time of Ornstein-Uhlenbeck colored noise approaches zero, the colored LIM reduces to the classical LIM and its stationary covariance obeys the standard fluctuation-dissipation relation.