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2019). Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. Studia Mathematica, 247 pp. 109-154. For guidance on citations see FAQs. Abstract. One of the simplest non-Pisot substitution rules is investigated in its geometric version as a tiling with intervals of natural length as prototiles. Via a detailed renormalisation analysis of the pair correlation functions, we show that the diffraction measure cannot comprise any absolutely continuousdoi:10.4064/sm170613-10-3 fatcat:snriaptgy5e2nhpfz2tjbj4qve