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Is there a class of measures which is natural for sofic systems in the same way that Markov measures are natural for subshifts of finite type? Motivated by this question, we identify and study a class of finitary measures on sofic systems. We aim to convince the reader that, in …
This is a thorough introduction to the dynamics of one-sided and two-sided Markov shifts on a finite alphabet and to the basic properties of Markov shifts on a countable alphabet. These are the symbolic dynamical systems defined by a finite transition rule. The basic properties …