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• W52285766 abstract "The notions of and independence for one-dimensional subshifts were introduced by Louidor, Marcus, and the second author. It was also implicitly conjectured there that these two quantities are always equal. We verify this conjecture, which implies, among other things, that the limiting entropy of any one-dimensional SFT is of the form $frac{1}{n} log k$ for $k,n in mathbb{N}$. Our proof also completely characterizes the weak limits (as $d rightarrow infty$) of isotropic measures of maximal entropy; any such measure is a Bernoulli extension over some zero entropy factor from an explicitly defined set of measures. We also discuss connections of our results to various models and results arising in statistical mechanics." @default.
• W52285766 created "2016-06-24" @default.
• W52285766 creator A5023789848 @default.
• W52285766 creator A5055883859 @default.
• W52285766 date "2011-12-06" @default.
• W52285766 modified "2023-10-14" @default.
• W52285766 title "Entropy and measures of maximal entropy for axial powers of Subshifts" @default.
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• W52285766 hasPublicationYear "2011" @default.
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