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DEVANEY CHAOS AND ENTROPY OF THE TRIDIAGONAL MARKOV CHAIN
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.6, No. 2)Publication Date: 2017-03-31
Authors : ANANDARAM BURHAGOHAIN; TARINI KUMAR DUTTA;
Page : 19-36
Keywords : Markov shifts; Topological Markov chain; Topological Transitivity; SDIC; Devaney Chaos; Topological Entropy.;
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Abstract
Tridiagonal Markov shifts with m- letters, , are defined and it is established here that the topological Markov chain on this Markov shift is Devaney chaotic(DevC). Further, discussing various general ideas about topological entropy for continuous maps on compact metric spaces we calculate the topological entropy of the tridiagonal Markov chain by the direct application of Perron-Frobenius theorem.
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Last modified: 2017-03-09 20:19:18