Hypercyclic shifts on lattice graphs
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.
Authors
- Anton Baranov (ORCID: https://orcid.org/0000-0002-2558-5071)
- Andrei Lishanskii (ORCID: https://orcid.org/0000-0002-8179-1486)
Institutions
- Sabancı Üniversitesi (TR)
- St Petersburg University (RU)
- Steklov Mathematical Institute (RU)
- International Management Institute Saint Petersburg (RU)
Publication Details
- Journal
- Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
- Published
- 2026-05-18
- DOI
- https://doi.org/10.1007/s13398-026-01868-8
- Primary Topic
- Advanced Topics in Algebra
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00
Funders
- Russian Science Foundation
- Ministry of Science and Higher Education of the Russian Federation