4 papers
Mean Diameter, Regularity and Diam-Mean Equicontinuity
Till Hauser
In the context of (not necessarily minimal) actions, we consider the mean diameter and use it to characterize regular factor maps. Building on this characterization, we prove that…
The maximal mean equicontinuous factor via regional mean sensitivity
Till Hauser, Chunlin Liu
For actions of amenable groups, mean equicontinuity-a natural relaxation of equicontinuity obtained by averaging metrics along orbits-is well known to yield a maximal mean equicont…
Entropy based lower dimension bounds for finite-time prediction of Dynamic Mode Decomposition algorithms
Till Hauser, Julian Hölz
Motivated by Dynamic Mode Decomposition algorithms, we provide lower bounds on the dimension of a finite-dimensional subspace required for pr…
Mean equicontinuous factor maps
Till Hauser
Mean equicontinity is a well studied notion for actions. We propose a definition of mean equicontinuous factor maps that generalizes mean equicontinuity to the relative context. Fo…