Kolmogorov Complexity, Lovász Local Lemma and Critical Exponents

Abstract

D. Krieger and J. Shallit have proved that every real number greater than 1 is a critical exponent of some sequence [1]. We show how this result can be derived from some general statements about sequences whose subsequences have (almost) maximal Kolmogorov complexity. In this way one can also construct a sequence that has no “approximate” fractional powers… (More)
DOI: 10.1007/978-3-540-74510-5_35

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