Coordination through De Bruijn Sequences

• Autores: Olivier Gossner, Penélope Hernández Rojas
• Localización: Working papers = Documentos de trabajo: Serie AD, Nº. 5, 2005
• Idioma: inglés
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• Resumen

  • Let µ be a rational distribution over a finite alphabet, and ( ) be a n-periodic sequences which first n elements are drawn i.i.d. according to µ. We consider automata of bounded size that input and output at stage t. We prove the existence of a constant C such that, whenever , with probability close to 1 there exists an automaton of size m such that the empirical frequency of stages such that is close to 1. In particular, one can take , where and .