Realization of finite-state mixing Markov chain as a random walk subject to a synchronizing road coloring

Details Realization of finite-state mixing Markov chain as a random walk subject to a synchronizing road coloring Realization of finite-state mixing Markov chain as a random walk subject to a synchronizing road coloring

2010-06-03

arxiv.org/abs/1006.0534v2

Mathematics

Probability

Scientific paper

A mixing Markov chain is proved to be realized as a random walk in a directed
graph subject to a synchronizing road coloring. The result ensures existence of
appropriate random mappings in Propp--Wilson's coupling from the past. The
proof is based on the road coloring theorem. A necessary and sufficient
condition for approximate preservation of entropies is also given.

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