2 problems
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Conjecture on the absence of an initial balanced pair for Pisot substitutions
Let be an ordered alphabet, and let and be primitive morphisms with the same incidence matrix. Let and be one-sided fix…
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Sellami–Sirvent conjecture on failure of the balanced pair algorithm
Let … and … be the two Pisot substitutions. Sellami–Sirvent's conjecture. The balanced pair algorithm fails for the pair . This is a specific example concern…