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Randomness is a key component of probabilistic algorithms, many combinatorial aarguments, the analysis of hashing functions, and in cryptography, among other applications.

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Is an infinite incomputable sequence random wrt a computable measure?

Effective randomness, strong reductions and Demuth’s theorem. Jan Reimann and Theodore A. Slaman. Probability measures and effective randomness. Jan Reimann and Theodore A. Slaman. … The same can be done for Schnorr randomness (which is weaker than Martin-Löf randomness). …
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