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arXiv · 2312.13934

Hypercyclic shifts on lattice graphs

Anton Baranov·Andrei Lishanskii·Dimitris Papathanasiou
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Abstract

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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Anton Baranov, Andrei Lishanskii, Dimitris Papathanasiou. 2023-12-21. Hypercyclic shifts on lattice graphs. https://arxiv.org/abs/2312.13934

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