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- W2950760074 abstract "Assume that for some $alpha<1$ and for all nutural $n$ a set $F_n$ of at most $2^{alpha n}$ binary strings of length $n$ is fixed. Then there exists an infinite binary sequence $omega$ that does not have (long) forbidden substrings. We prove this combinatorial statement by translating it into a statement about Kolmogorov complexity and compare this proof with a combinatorial one based on Laslo Lovasz local lemma. Then we construct an almost periodic sequence with the same property (thus combines the results of Levin and Muchnik-Semenov-Ushakov). Both the combinatorial proof and Kolmogorov complexity argument can be generalized to the multidimensional case." @default.
- W2950760074 created "2019-06-27" @default.
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- W2950760074 date "2010-09-22" @default.
- W2950760074 modified "2023-09-27" @default.
- W2950760074 title "Forbidden substrings, Kolmogorov complexity and almost periodic sequences" @default.
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