Nivat's conjecture: Consider 2-dimensional words, that is, sets of letters indexed by Z2. Is the following conjecture true? If the number of distinct m n blocks is at most mn for some m and n, then the word is periodic. Recent results of Van Cyr and Bryna Kra prove the result where the bound mn is replaced by mn/2.

-- JeffreyShallit - 13 Jul 2011

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Topic revision: r2 - 2018-02-22 - JeffreyShallit
 
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