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- W2962719906 abstract "This paper explores a novel definition of Schnorr randomness for noncomputable measures. We say x is uniformly Schnorr μ -random if t ( μ , x ) < ∞ for all lower semicomputable functions t ( μ , x ) such that μ ↦ ∫ t ( μ , x ) d μ ( x ) is computable. We prove a number of theorems demonstrating that this is the correct definition which enjoys many of the same properties as Martin-Löf randomness for noncomputable measures. Nonetheless, a number of our proofs significantly differ from the Martin-Löf case, requiring new ideas from computable analysis." @default.
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- W2962719906 date "2018-02-01" @default.
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- W2962719906 title "Schnorr randomness for noncomputable measures" @default.
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- W2962719906 doi "https://doi.org/10.1016/j.ic.2017.10.001" @default.
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