# Dynamics of tuples of matrices

Costakis G, Hadjiloucas D, Manoussos A (2009)

Proceedings of the American Mathematical Society 137(03): 1025-1034.

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In this article we answer a question raised by N. Feldman in 2008 concerning the dynamics of tuples of operators on R-n. In particular, we prove that for every positive integer n >= 2 there exist n-tuples (A1, A2,..., A(n)) of n x n matrices over R such that (A1, A2,..., A(n)) is hypercyclic. We also establish related results for tuples of 2 x 2 matrices over R or C being in Jordan form.

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Costakis G, Hadjiloucas D, Manoussos A. Dynamics of tuples of matrices.

*Proceedings of the American Mathematical Society*. 2009;137(03):1025-1034.Costakis, G., Hadjiloucas, D., & Manoussos, A. (2009). Dynamics of tuples of matrices.

*Proceedings of the American Mathematical Society*,*137*(03), 1025-1034. doi:10.1090/s0002-9939-08-09717-7Costakis, G., Hadjiloucas, D., and Manoussos, A. (2009). Dynamics of tuples of matrices.

*Proceedings of the American Mathematical Society*137, 1025-1034.Costakis, G., Hadjiloucas, D., & Manoussos, A., 2009. Dynamics of tuples of matrices.

*Proceedings of the American Mathematical Society*, 137(03), p 1025-1034. G. Costakis, D. Hadjiloucas, and A. Manoussos, “Dynamics of tuples of matrices”,

*Proceedings of the American Mathematical Society*, vol. 137, 2009, pp. 1025-1034. Costakis, G., Hadjiloucas, D., Manoussos, A.: Dynamics of tuples of matrices. Proceedings of the American Mathematical Society. 137, 1025-1034 (2009).

Costakis, G., Hadjiloucas, D., and Manoussos, Antonios. “Dynamics of tuples of matrices”.

*Proceedings of the American Mathematical Society*137.03 (2009): 1025-1034.
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arXiv 1008.0780