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Invariant and periodic measures of the random dynamical system on the circle generated by $d...
I have found an answer; it is based on Proposition 3.10 of here.
Claim: $\mathbb{P}_W \otimes \lambda$ is the only $\Theta$-invariant probability measure whose projection onto $\Omega$ is $\mathbb{P} …
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Invariant and periodic measures of the random dynamical system on the circle generated by $d...
Here, I am considering one of the simplest random dynamical systems that one can consider, and yet I realise that I do not know the answer to one of the most basic questions that one can ask about it! …