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


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.