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arXiv · 1506.03692

Some monoids of Pisot matrices

Artur Avila·Vincent Delecroix
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Abstract

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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Artur Avila, Vincent Delecroix. 2015-06-11. Some monoids of Pisot matrices. https://arxiv.org/abs/1506.03692

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