Bohr chaoticity of principal algebraic actions and Riesz product measures
| Authors |
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| Publication date | 10-2024 |
| Journal | Ergodic theory and dynamical systems |
| Volume | Issue number | 44 | 10 |
| Pages (from-to) | 2933-2959 |
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| Abstract | For a continuous Nd or Zd action on a compact space, we introduce the notion of Bohr chaoticity, which is an invariant of topological conjugacy and which is proved stronger than having positive entropy. We prove that all principal algebraic Z actions of positive entropy are Bohr chaotic. The same is proved for principal algebraic actions of Zd with positive entropy under the condition of existence of summable homoclinic points. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1017/etds.2024.13 |
| Other links | https://www.scopus.com/pages/publications/85187007248 |
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Bohr chaoticity of principal algebraic actions and Riesz product measures
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