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Invariant measures for the subshifts arising from non-primitive substitutions

Research paper by Hisatoshi Yuasa

Indexed on: 01 Aug '07Published on: 01 Aug '07Published in: Journal d'Analyse Mathématique



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.