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60 years of dynamics and number expansions

Mixing substitution tilings with infinite local complexity

speaker: Robbie Robinson (The George Washington University)

abstract: The translational dynamics for substitution tilings with finite local complexity can be weakly mixing and can be topologically mixing, but cannot be strongly mixing. In this talk we analyze a simple 1-parameter family of 1-dimensional tiling substitutions with infinitely many tile lengths. We show that for generic parameter values, the tiling flow has pure Lebesgue spectrum and is mixing of all orders. A similar analysis applies to Sadun’s generalized pinwheel tilings in the generic case. Joint work with Natalie Frank.

timetable:
Mon 10 Dec, 14:00 - 14:45, Aula Dini
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