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Invariant measures for the subshifts arising from non-primitive substitutions

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Abstract

Every almost primitive substitution gives rise to an almost minimal subshift. The nonatomic, invariant measures of the subshift which are finite on every clopen set disjoint from a unique fixed point are unique up to scaling and ergodic.

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  1. Keio University, 3-14-1 Hiyoshi, Kohoku-Ku, Yokohama, 223-8522, Japan

    Hisatoshi Yuasa

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  1. Hisatoshi Yuasa
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Yuasa, H. Invariant measures for the subshifts arising from non-primitive substitutions. J Anal Math 102, 143–180 (2007). https://doi.org/10.1007/s11854-007-0019-8

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  • DOI: https://doi.org/10.1007/s11854-007-0019-8

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