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<p>Recently K.-G.&#xa0;Grosse-Erdmann and D.&#xa0;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.</p>

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Hypercyclic shifts on lattice graphs

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月18日

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  • Anton Baranov,
  • Andrei Lishanskii,
  • Dimitris Papathanasiou

摘要

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.