Chaotic dynamics of generating Markov partitions, and linguistic sequences mimicking Zipf's law
A chaotic dynamics model of creating Markovian strings of symbols as well as sequences of words is presented, and its possible relevance to Zipf's law is discussed.Comparison from contemporary Greek prose as well as nucleotide sequences (strings) of mRNA Polymerase III and embryonic cDNA displaying a quasi-Zlpf's law behavior is made.The order of generated markovian strings as well as the information transferred between two symbols t steps apart (the “transinformation”) is also estimated.
Key wordsChaotic dynamics Markov chain Information processing dynamic linguistics transinformation Zipf's law
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