Bohr chaoticity of principal algebraic actions and Riesz product measures

This https://t.co/yvLdFGemsB has been replaced. Links: https://t.co/CX2HuOJL6l https://t.co/5Ggh2R2e3Y https://t.co/CyWjjCx2DI https://t.co/701oQysOJW

summable homoclinic points. [3/3 of https://t.co/olLKAz5S7M]

prove that all principal algebraic $\mathbb{Z}$ actions of positive entropy are Bohr-chaotic. The same is proved for principal algebraic $\mathbb{Z}^d$ ($d\ge 2$) actions of positive entropy under the condition of existence of [2/3 of https://t.co/olLKAz5S

For a continuous $\mathbb{N}^d$ or $\mathbb{Z}^d$ 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 [1/3 of https://t.co/olLKA