Some monoids of Pisot matrices
Dynamical Systems
2015-06-12 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.1506.03692,
title = {Some monoids of Pisot matrices},
author = {Artur Avila and Vincent Delecroix},
journal= {arXiv preprint arXiv:1506.03692},
year = {2015}
}
Comments
6 pages, 2 figures