On the number of occurrences of all short factors in almost all words

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On the number of occurrences of all short factors in almost all words

We previously proved that almost all words of length n over a finite alphabet A with m letters contain as factors all words of length k(n) over A as n → ∞, provided lim supn→∞ k(n)/ log n < 1/ log m. In this note it is shown that if this condition holds, then the number of occurrences of any word of length k(n) as a factor into almost all words of length n is at least s(n), where limn→∞ log s(n...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2003

ISSN: 0304-3975

DOI: 10.1016/s0304-3975(02)00087-7