Article ID Journal Published Year Pages File Type
4950619 Information and Computation 2017 8 Pages PDF
Abstract
We generalize Brudno's theorem of 1-dimensional shift dynamical system to Zd (or Z+d) subshifts. That is to say, in Zd (or Z+d) subshift, the Kolmogorov-Sinai entropy is equivalent to the Kolmogorov complexity density almost everywhere for an ergodic shift-invariant measure.
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Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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Brudno's theorem for Zd (or Z+d) subshifts
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