2 citations · 3 across the 6 of their papers we have counts for
7 papers
On the continuity of Følner averages
Gabriel Fuhrmann, Maik Gröger, Till Hauser
It is known that if each point of a dynamical system is generic for some invariant measure , then there is a strong connection between certain ergodic and topological prop…
Entropy of group actions beyond uniform lattices
Till Hauser, Friedrich Martin Schneider
Entropy of measure preserving or continuous actions of amenable discrete groups allows for various equivalent approaches. Among them are the ones given by the techniques developed…
Pure point diffraction and entropy beyond the Euclidean space
Till Hauser
For Euclidean pure point diffractive Delone sets of finite local complexity and with uniform patch frequencies it is well known that the patch counting entropy computed along the c…
Topological concepts in partially ordered vector spaces
Till Hauser
In the context of partially ordered vector spaces one encounters different sorts of order convergence and order topologies. This article will investigate these notions and their re…
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…
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…
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…