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Dynamics of tuples of matrices

By G. Costakis, D. Hadjiloucas and A. Manoussos

Abstract

Abstract. In this article we answer a question raised by N. Feldman in [4] 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,...,An) of n × n matrices over R such that (A1, A2,...,An) is hypercyclic. We also establish related results for tuples of 2 × 2 matrices over R or C being in Jordan form. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.313.8276
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