Hidden Markov processes in the context of symbolic dynamics

Details Hidden Markov processes in the context of symbolic dynamics Hidden Markov processes in the context of symbolic dynamics

2009-07-10

arxiv.org/abs/0907.1858v2

Mathematics

Dynamical Systems

Revised version, to appear in the proceedings of the BIRS 2007 Workshop on Entropy of Hidden Markov Processes and Connections

Scientific paper

In an effort to aid communication among different fields and perhaps facilitate progress on problems common to all of them, this article discusses hidden Markov processes from several viewpoints, especially that of symbolic dynamics, where they are known as sofic measures, or continuous shift-commuting images of Markov measures. It provides background, describes known tools and methods, surveys some of the literature, and proposes several open problems.

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