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arXiv · 1003.5321

Dynamics of tuples of matrices in Jordan form

George Costakis·Ioannis Parissis
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Abstract

A tuple (T_1,...,T_k) of (n x n) matrices over R is called hypercyclic if for some x in R^n the set {T^{m_1} T^{m_2}...T^{m_k} x : m_1,m_2,...,m_k in N} is dense in R^n. We prove that the minimum number of (n x n) matrices in Jordan form over R which form a hypercyclic tuple is n+1. This answers a question of Costakis, Hadjiloucas and Manoussos.

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George Costakis, Ioannis Parissis. 2011-12-20. Dynamics of tuples of matrices in Jordan form. https://arxiv.org/abs/1003.5321

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