In this note we extend results of Olli concerning limits of point measures arising from substitutions. We consider a general primitive substitution on a finite polygon set in R2 and show that limits of certain atomic measures each converge to Lebesgue measure.

Division, Iterated primitive substitutions, Measure, Tilings
dx.doi.org/10.1016/j.exmath.2013.12.009
Expositiones Mathematicae

Gonçalves, D. (Daniel), & Starling, C. (2015). Division point measures from primitive substitutions. Expositiones Mathematicae, 33(1), 67–77. doi:10.1016/j.exmath.2013.12.009