The Shannon information on a Markov chain approximately normally distributed
Richard O'Neil (1990)
Colloquium Mathematicae
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Displaying similar documents to “A comparative dynamical analysis of Hebrew texts.”
The Shannon information on a Markov chain approximately normally distributed
On the number of word occurrences in a semi-Markov sequence of letters
Margarita Karaliopoulou (2009)
ESAIM: Probability and Statistics
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Let a finite alphabet . We consider a sequence of letters from generated by a discrete time semi-Markov process We derive the probability of a word occurrence in the sequence. We also obtain results for the mean and variance of the number of overlapping occurrences of a word in a finite discrete time semi-Markov sequence of letters under certain conditions.
Entropy at a weight-per-symbol and embeddings of Markov chains.
Brian Marcus, Selim Tuncel (1990)
Inventiones mathematicae
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Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point.
Ebeling, Werner, Rateischak, Katja (1998)
Discrete Dynamics in Nature and Society
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Episturmian words: a survey
Amy Glen, Jacques Justin (2009)
RAIRO - Theoretical Informatics and Applications
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In this paper, we survey the rich theory of infinite which generalize to any finite alphabet, in a rather resembling way, the well-known family of on two letters. After recalling definitions and basic properties, we consider that allow for a deeper study of these words. Some properties of factors are described, including factor complexity, palindromes, fractional powers, frequencies, and return words. We also consider lexicographical properties of episturmian words, as well as their...
Sturmian jungle (or garden?) on multiliteral alphabets
L'ubomíra Balková, Edita Pelantová, Štěpán Starosta (2010)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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The properties characterizing sturmian words are considered for words on multiliteral alphabets. We summarize various generalizations of sturmian words to multiliteral alphabets and enlarge the list of known relationships among these generalizations. We provide a new equivalent definition of rich words and make use of it in the study of generalizations of sturmian words based on palindromes. We also collect many examples of infinite words to illustrate differences in the generalized...