Semigroups of matrices with dense orbits

DOI10.1080/14689367.2011.557042zbMath1244.47036arXiv0905.1311OpenAlexW2068994139MaRDI QIDQ3094805

Mohammad Javaheri

Publication date: 27 October 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1311

zbMATH Keywords

dense orbitsaffine mapshypercyclic semigroups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Groups and semigroups of linear operators (47D03) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (10)

Hypercyclic abelian semigroups of matrices on \(\mathbb{R}^n\) ⋮ On the minimal number of matrices which form a locally hypercyclic, non-hypercyclic tuple ⋮ Approximately nearly controllability of discrete-time bilinear control systems with control input characteristic ⋮ Unnamed Item ⋮ Minimality and non-existence of non-zero finite orbits for abelian linear semigroups ⋮ Dense 2-generator subsemigroups of \(2 \times 2\) matrices ⋮ Dynamical classification for complex matrices ⋮ Topological generators of Abelian Lie groups and hypercyclic finitely generated Abelian semigroups of matrices ⋮ Topologically transitive semigroup actions of real linear fractional transformations ⋮ Hypercyclic abelian semigroups of affine maps on \(\mathbb{C}^{n}\)

Cites Work

• On the minimal number of matrices which form a locally hypercyclic, non-hypercyclic tuple
• Hypercyclic tuples of operators and somewhere dense orbits
• Topologically transitive semigroup actions of real linear fractional transformations
• Existence of hypercyclic operators on topological vector spaces
• Dynamics of tuples of matrices
• On a conjecture of D. Herrero concerning hypercyclic operators
• Multi-hypercyclic operators are hypercyclic

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