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math.DS2019
A Note on Entropy of Delone Sets
Till Hauser
In this note we present that the patch counting entropy can be obtained as a limit and investigate which sequences of compact sets are suitable to define this quantity. We furtherm…
math.DS2019
Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes
Till Hauser
In the study of aperiodic order via dynamical methods, topological entropy is an important concept. In this paper, parts of the theory, like Bowen's formula for fibre wise entropy…
math.DS2017★ 1 cited
Monotonicity of maximal equicontinuous factors and an application to toral flows
Till Hauser, Tobias Jäger
We show that for group actions on locally connected spaces the maximal equicontinuous factor map is always monotone, that is, the preimages of single points are connected. As an ap…