On Mealy–Moore coding and images of Markov measures

DOI10.1090/mosc/314zbMath1498.37009arXiv2102.05539OpenAlexW3127934411MaRDI QIDQ5082252

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Publication date: 16 June 2022

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05539

zbMATH Keywords

Markov measureMealy automatonasymptotic frequencyMoore diagramactivity growthpushforward measureregular rooted tree endomorphism

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical aspects of cellular automata (37B15) Symbolic dynamics (37B10)

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• The action of finite-state tree automorphisms on Bernoulli measures
• Automorphisms of one-rooted trees: growth, circuit structure, and acyclicity.
• On spectra of Koopman, groupoid and quasi-regular representations
• Classification of groups generated by 3-state automata over a 2-letter alphabet
• Hidden Markov processes in the context of symbolic dynamics

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