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Article Dans Une Revue Mathematische Zeitschrift Année : 2022

Bohr chaoticity of topological dynamical systems

Résumé

We introduce the notion of Bohr chaoticity, which is a topological invariant for topological dynamical systems, and which means that the system is not orthogonal to any non-trivial weights. We prove the Bohr chaoticity for all systems which have a horseshoe and for all toral affine dynamical systems of positive entropy, some of which don’t have a horseshoe.

Dates et versions

hal-04009297 , version 1 (01-03-2023)

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Aihua Fan, Shilei Fan, Valery Ryzhikov, Weixiao Shen. Bohr chaoticity of topological dynamical systems. Mathematische Zeitschrift, 2022, 302 (2), pp.1127-1154. ⟨10.1007/s00209-022-03093-6⟩. ⟨hal-04009297⟩
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