Hypercyclic shifts on lattice graphs

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 2026 Open access

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Authors: Anton Dmitrievich Baranov, Andrei Lishanskii, Dimitris Papathanasiou
DOI: 10.1007/s13398-026-01868-8
Cited by: 0
References: 12

Abstract

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.

Fields of Study & Subjects

Advanced Topics in Algebra Mathematical Dynamics and Fractals Graph theory and applications

Publication details

Journal / source
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
Publisher
Springer Science and Business Media LLC
Volume
120
Issue
3
Publication date
18 May 2026
Language
EN