Some properties of cellular automata with equicontinuity points
F. Blanchard, P. Tisseur (2000)
Annales de l'I.H.P. Probabilités et statistiques
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F. Blanchard, P. Tisseur (2000)
Annales de l'I.H.P. Probabilités et statistiques
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Ludwig Staiger (2005)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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The paper presents an elementary approach for the calculation of the entropy of a class of languages. This approach is based on the consideration of roots of a real polynomial and is also suitable for calculating the Bernoulli measure. The class of languages we consider here is a generalisation of the Łukasiewicz language.
Miloslav Nekvinda (1973)
Kybernetika
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F. M. Dekking (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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R. Burton, M. Keane, Jacek Serafin (2000)
Colloquium Mathematicae
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We present a unified approach to the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein. We show that in a suitable space of measures those measures which define isomorphisms or respectively homomorphisms form residual subsets.
Viliam Geffert, L'ubomíra Ištoňová (2010)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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We study the relation between the standard two-way automata and more powerful devices, namely, two-way finite automata equipped with some additional “pebbles” that are movable along the input tape, but their use is restricted (nested) in a stack-like fashion. Similarly as in the case of the classical two-way machines, it is not known whether there exists a polynomial trade-off, in the number of states, between the nondeterministic and deterministic two-way automata with nested pebbles....