English

Hypercyclic shifts on lattice graphs

Functional Analysis 2024-09-10 v2

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.

Keywords

Cite

@article{arxiv.2312.13934,
  title  = {Hypercyclic shifts on lattice graphs},
  author = {Anton Baranov and Andrei Lishanskii and Dimitris Papathanasiou},
  journal= {arXiv preprint arXiv:2312.13934},
  year   = {2024}
}

Comments

17 pages

R2 v1 2026-06-28T13:58:48.516Z