Higher-order dangers and precisely constructed taxa in models of randomness.


The certification, construction, and delineation of individual, infinite-length "random" sequences have been longstanding yet incompletely resolved problems. We address this topic via the study of normal numbers, which often have been viewed as reasonable proxies for randomness, given their limiting equidistribution of subblocks of all lengths. However… (More)
DOI: 10.1073/pnas.1402621111


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