Invariant measures for subshifts arising from substitutions of some primitive components

Details Invariant measures for subshifts arising from substitutions of some primitive components Invariant measures for subshifts arising from substitutions of some primitive components

2010-03-17

arxiv.org/abs/1003.3364v1

Mathematics

Dynamical Systems

22 pages

Scientific paper

The class of substitutions of some primitive components is introduced. A bilateral subshift arising from a substitution of some primitive components is decomposed into pairwise disjoint, locally compact, shift-invariant sets, on each of which an invariant Radon measure is unique up to scaling. It is completely characterized in terms of eigenvalues of an incidence matrix when the unique invariant measure is finite.

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