Dynamics of tuples of matrices in Jordan form
Abstract
A tuple (T1,...,Tk) of (n x n) matrices over R is called hypercyclic if for some x in Rn the set Tm1 Tm2...Tmk x : m1,m2,...,mk in N is dense in Rn. 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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