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arXiv · 1511.07535

Regular sequences and the joint spectral radius

Michael Coons
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Abstract

We classify the growth of a $k$-regular sequence based on information from its $k$-kernel. In order to provide such a classification, we introduce the notion of a growth exponent for $k$-regular sequences and show that this exponent is equal to the joint spectral radius of any set of a special class of matrices determined by the $k$-kernel.

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Michael Coons. 2015-11-24. Regular sequences and the joint spectral radius. https://arxiv.org/abs/1511.07535

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