Some monoids of Pisot matrices
classification
🧮 math.DS
math.NT
keywords
monoidscontinuedfractionsmatricespisotabsolutebruncome
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We show that several monoids of non-negative integer matrices enjoy a Pisot property: each matrix in that monoid has only one eigenvalue with absolute value larger than one. These monoids come from multidimensional continued fractions, namely the fully subtractive and Brun continued fractions.
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