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arxiv: 1105.1095 · v1 · pith:XXC67JBYnew · submitted 2011-05-05 · 🧮 math.PR

Random walk in a finite directed graph subject to a synchronizing road coloring

classification 🧮 math.PR
keywords coloringrandomroadsubjectsynchronizingwalkchainconstructive
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A constructive proof is given to the fact that any ergodic Markov chain can be realized as a random walk subject to a synchronizing road coloring. Redundancy (ratio of extra entropy) in such a realization is also studied.

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