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Special flows constructed from countable topological Markov chains. (English. Russian original) Zbl 0919.58037

Funct. Anal. Appl. 32, No. 1, 32-41 (1998); translation from Funkts. Anal. Prilozh. 32, No. 1, 40-53 (1998).
The present paper is concerned with flows corresponding to countable topological Markov chains and positive locally constant functions. Using the Krengel formula, the author manages to calculate the topological entropy and derives necessary and sufficient conditions for the existence (and uniqueness) of a measure with maximum entropy. The topological entropy of these symbolic flows remains the same if we ignore infinite measures, but measures on which the maximum entropy is attained can be “lost” in this case.

MSC:

37A99 Ergodic theory
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