Hypercyclic shifts on lattice graphs

Published 21 Dec 2023 in math.FA | (2312.13934v2)

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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