4 citations · 10 across the 9 of their papers we have counts for
10 papers
Probabilistic frames and Wasserstein distances
Dongwei Chen, Martin Schmoll
We use Wasserstein distances to characterize and study probabilistic frames. Adapting results from Olkin and Pukelsheim, from Gelbrich and from Cuesta-Albertos, Matran-Bea and Tuer…
Ergodic theory on coded shift spaces
Tamara Kucherenko, Martin Schmoll, Christian Wolf
We study ergodic-theoretic properties of coded shift spaces. A coded shift space is defined as a closure of all bi-infinite concatenations of words from a fixed countable generatin…
On ergodicity of foliations on -covers of half-translation surfaces and some applications to periodic systems of Eaton lenses
Krzysztof Frączek, Martin Schmoll
We consider the geodesic flow defined by periodic Eaton lens patterns in the plane and discover ergodic ones among those. The ergodicity result on Eaton lenses is derived from a re…
On the computability of rotation sets and their entropies
Michael Burr, Martin Schmoll, Christian Wolf
Given a continuous dynamical system on a compact metric space and an -dimensional continuous potential , the (generalized) rotation set ${\rm…
Directional localization of light rays in a periodic array of retro-reflector lenses
Krzysztof Fraczek, Martin Schmoll
We show that vertical light rays in almost every periodic array of Eaton lenses do not leave certain strips of bounded width. The light rays are traced by leaves of a non-orientabl…
Modular Fibers And Illumination Problems
Pascal Hubert, Martin Schmoll, Serge Troubetzkoy
For a Veech surface (x,ω), we characterize subspaces of X^n, invariant under the diagonal action of the affine group of X. We prove that non-arithmetic Veech surfaces have only fin…