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The analysis and inference about data observed over a general(continuous or discrete) time space. Usually related to stochastic processes and will probably receive better response under that tag.
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Does the "random Krylov-Bogolyubov theorem" hold in a non-skew-product setting?
Informal description.
Suppose I have a dynamical system $f$ defined on the product of a compact space $X$ representing the state space of an "experimentally visible" variable and a compact space $Y$ r …
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Does the "random Krylov-Bogolyubov theorem" hold in a non-skew-product setting?
Okay, I've seen that the proof of an affirmative answer to both questions in the general case (with $\nu=\mu \otimes \lambda$) is not very hard:
Since $X \times Y$ is compact, we can let $(k_n)$ be a …