2 problems
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The torus-rotation coding conjecture for slowly growing Arnoux–Rauzy systems
Torus-rotation coding conjecture. In these slowly growing cases, the Arnoux–Rauzy system is conjectured to be a coding of a rotation of the -torus.
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The interval conjecture for the lower BL spectrum of Arnoux–Rauzy systems
Interval conjecture. The lower BL spectrum of the family of Arnoux–Rauzy systems is