# Dynamics of tuples of matrices

Costakis G, Hadjiloucas D, Manoussos A (2008) .

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In this article we answer a question raised by N. Feldman in \cite{Feldman}concerning the dynamics of tuples of operators on $\mathbb{R}^n$. Inparticular, we prove that for every positive integer $n\geq 2$ there exist $n$tuples $(A_1, A_2, ..., A_n)$ of $n\times n$ matrices over $\mathbb{R}$ suchthat $(A_1, A_2, ..., A_n)$ is hypercyclic. We also establish related resultsfor tuples of $2\times 2$ matrices over $\mathbb{R}$ or $\mathbb{C}$ being inJordan form.
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Costakis G, Hadjiloucas D, Manoussos A. Dynamics of tuples of matrices. 2008.
Costakis, G., Hadjiloucas, D., & Manoussos, A. (2008). Dynamics of tuples of matrices
Costakis, G., Hadjiloucas, D., and Manoussos, A. (2008). Dynamics of tuples of matrices.
Costakis, G., Hadjiloucas, D., & Manoussos, A., 2008. Dynamics of tuples of matrices.
G. Costakis, D. Hadjiloucas, and A. Manoussos, “Dynamics of tuples of matrices”, 2008.
Costakis, G., Hadjiloucas, D., Manoussos, A.: Dynamics of tuples of matrices. (2008).
Costakis, George, Hadjiloucas, Demetris, and Manoussos, Antonios. “Dynamics of tuples of matrices”. (2008).
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arXiv 0803.3402