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math.FA2019
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…
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…