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arxiv: 1304.6435 · v3 · pith:SA2JX4NVnew · submitted 2013-04-23 · 🧮 math.DS · math.PR

Division Point Measures from Primitive Substitutions

classification 🧮 math.DS math.PR
keywords measureslimitspointprimitivesubstitutionsarisingatomiccertain
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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 $\mathbb{R}^2$ and show that limits of certain atomic measures each converge to Lebesgue measure.

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