Dynamics of tuples of matrices

DOI10.1090/S0002-9939-08-09717-7zbMath1162.47007arXiv1008.0780OpenAlexW2029848248MaRDI QIDQ3617592

Demetris Hadjiloucas, Antonios Manoussos, George Costakis

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0780

zbMATH Keywords

hypercyclic operatorsnon-diagonalizable matricesn-tuples of matrices

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (15)

On the minimal number of matrices which form a locally hypercyclic, non-hypercyclic tuple ⋮ On supercyclicity for abelian semigroups of matrices on ℝ^n ⋮ Backward shifts on double sequence spaces ⋮ Unnamed Item ⋮ J-class abelian semigroups of matrices on ℝ ⁿ ⋮ Minimality and non-existence of non-zero finite orbits for abelian linear semigroups ⋮ Dense 2-generator subsemigroups of \(2 \times 2\) matrices ⋮ Supercyclic abelian semigroups of matrices on \(\mathbb C^n\) ⋮ Dynamical classification for complex matrices ⋮ Topological generators of Abelian Lie groups and hypercyclic finitely generated Abelian semigroups of matrices ⋮ Subspace-hypercyclic abelian semigroups of matrices on \(\mathbb{R}^n\) ⋮ \(n\)-weakly supercyclic matrices ⋮ Chaotic behavior of discrete-time linear inclusion dynamical systems ⋮ Semigroups of matrices with dense orbits ⋮ \(q\)-frequently hypercyclic operators

Cites Work

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• Report 37/2006: Mini-workshop: Hypercyclicity and linear chaos (August 13th -- August 19th, 2006)
• Hypercyclic tuples of operators and somewhere dense orbits
• Hypercyclic pairs of coanalytic Toeplitz operators
• Universal families and hypercyclic operators

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