Combinatorics

Discrete mathematics

Physics

Topology (electrical circuits)

Pure mathematics

Mathematics

Discrete group

Dynamical systems theory

Crystallography

Crystal structure

Ergodic theory

Discrete spectrum

Spectrum (functional analysis)

Eigenvalues and eigenvectors

Chemistry

Isomorphism (crystallography)

Measure (data warehouse)

Group (periodic table)

Computer science

Quantum mechanics

Database

Discrete and Continuous Dynamical Systems

The article addresses the isomorphism problem for non-minimal topological dynamical systems with discrete spectrum, giving a solution under appropriate topological constraints. Moreover, it is shown that trivial systems, group rotations and their products, up to factors, make up all systems with discrete spectrum. These results are then translated into corresponding results for non-ergodic measure-preserving systems with discrete spectrum.

On the isomorphism problem for non-minimal transformations with discrete spectrum