Dynamics of products of nonnegative matrices
DOI:
https://doi.org/10.17398/2605-5686.37.2.223Keywords:
Products of nonnegative matrices, common eigenvectors, common periodic points, orbits of infinite matrix productsAbstract
The aim of this manuscript is to understand the dynamics of products of nonnegative matrices. We extend a well known consequence of the Perron-Frobenius theorem on the periodic points of a nonnegative matrix to products of finitely many nonnegative matrices associated to a word and later to products of nonnegative matrices associated to a word, possibly of infinite length.
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References
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