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Hypercyclic shifts on lattice graphs

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arxiv 2312.13934 v2 pith:4KOCY3ZF submitted 2023-12-21 math.FA

Anton Baranov , Andrei Lishanskii , Dimitris Papathanasiou This is my paper · ORCID
classification math.FA
keywords graphsshiftshypercycliclatticetreesbackwardcorrespondingdescribed
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Recently K.-G. Grosse-Erdmann and D. Papathanasiou described hypercyclic shifts in weighted spaces on directed trees. In this note we discuss several simple examples of graphs which are not trees, e.g., the lattice graphs, and study hypercyclicity of the corresponding backward shifts.

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  1. Hypercyclic algebras for weighted shifts on trees

    math.FA 2024-11 conditional novelty 7.0 of 10

    For weighted backward shifts on rooted directed trees, the paper proves that a hypercyclic algebra exists exactly when a stronger supremum growth condition holds on ell-p spaces, and it shows hypercyclicity does not i...

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