Baranov, Anton and Lishanskii, Andrei and Papathanasiou, Dimitrios (2026) Hypercyclic shifts on lattice graphs. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 120 (3). ISSN 1578-7303 (Print) 1579-1505 (Online)
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Official URL: https://dx.doi.org/10.1007/s13398-026-01868-8
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.
| Item Type: | Article |
|---|---|
| Additional Information: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Uncontrolled Keywords: | Directed graph; Hypercyclic operator; Mixing operator; Weighted shift operator |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Dimitrios Papathanasiou |
| Date Deposited: | 03 Jun 2026 15:17 |
| Last Modified: | 03 Jun 2026 15:17 |
| URI: | https://research.sabanciuniv.edu/id/eprint/54144 |
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