There exist computable parameters a for which the logistic map fa(x)=ax(1-x) has a unique physical (SRB) measure that is not Turing computable.
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Ulam meets Turing: constructing quadratic maps with non-computable SRB measures
There exist computable parameters a for which the logistic map fa(x)=ax(1-x) has a unique physical (SRB) measure that is not Turing computable.