Abstract
Merkle et al. [11] that all Kolmogorov-Loveland stochastic infinite binary sequences have constructive Hausdorff dimension 1. In this paper, we go even further, showing that from an infinite sequence of dimension less than H(1/2+ δ) (H being the Shannon entropy function) one can extract by a selection rule a biased subsequence with bias at least d. We also prove an analogous result for finite strings.
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