Coordination through De Bruijn sequences

Coordination through De Bruijn sequences

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Article ID: iaor20061794
Country: Netherlands
Volume: 34
Issue: 1
Start Page Number: 17
End Page Number: 21
Publication Date: Jan 2006
Journal: Operations Research Letters
Authors: ,
Abstract:

Let (xt) be an n-periodic sequence in which the first n elements are drawn i.i.d. according to some rational distribution. We prove there exists a constant C such that whenever mlnm⩾Cn, with probability close to 1, there exists an automaton of size m that matches the sequence at almost all stages.

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