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A note on multivariate diam mean equicontinuity and frequent stability
Lino Haupt, Tobias Jäger, Chunlin Liu
Let be a topological dynamical system, given by the action of a is a countable discrete infinite group on a compact metric space . We prove that if is minimal, t…
Multivariate Frequent Stability and Diam-Mean Equicontinuity
Lino Haupt
In this paper, we introduce and investigate multivariate versions of frequent stability and diam-mean equicontinuity. Given a natural number , we call those notions "frequen…
Multivariate mean equicontinuity for finite-to-one topomorphic extensions
Jonas Breitenbücher, Lino Haupt, Tobias Jäger
In this note, we generalise the concept of topo-isomorphic extensions and define finite topomorphic extensions as topological dynamical systems whose factor map to the maximal equi…
Construction of smooth isomorphic and finite-to-one extensions of irrational rotations which are not almost automorphic
Lino Haupt, Tobias Jäger
Due to a result by Glasner and Downarowicz, it is known that a minimal system is mean equicontinuous if and only if it is an isomorphic extension of its maximal equicontinuous fact…