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I am looking for calculations of statistical characteristics (variance, entropy, etc.) of the $n$-dimensional distributions of the invariant measures of low complexity subshifts (e.g., the Sturmian or the Thue - Morse subshifts). I am aware of the works on finding the factor frequencies in these situations, on which these calculations can be based. However I would prefer to see them done explicitly.

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  • $\begingroup$ One might find it among papers that are about ergodic optimization where people are interested in low complexity; e.g. you can look at Bousch's paper (the title is fish and is french). $\endgroup$
    – Adam
    Commented Nov 4, 2021 at 17:28
  • $\begingroup$ @Adam - Le poisson n'a pas d'arêtes? Do not see how it would be related (and I do realize that my question is about ergodic theory of low complexity subshifts) $\endgroup$
    – R W
    Commented Nov 4, 2021 at 18:35

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