Abstract
In this paper several distribution concepts of 0,1-sequences suggested by some work of E. Hlawka and D. E. Knuth are investigated in detail. In the first instance the number of occurrences of specified (closed) subblocks in the initial part of a sequence is considered, whereas in the second case we enumerate the occurrences of (not necessarily closed) subwords. In any of the two instances we study the case of fixed length of subblocks (resp.subwords) as well as the case where this length increases slowly.
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Kirschenhofer, P., Tichy, R.F. Some distribution properties of 0,1-sequences. Manuscripta Math 54, 205–219 (1985). https://doi.org/10.1007/BF01171708
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DOI: https://doi.org/10.1007/BF01171708