Let F be a local or global field and let G be a linear algebraic group over F. We study Tannakian categories of representations of the Kottwitz gerbes Rep(Kt_F) and the functor G → B(F,G) defined by Kottwitz in [28]. In ...

A certain two-phase model is considered, which stands some relation with a description of the vortex sheet configuration in a perfect fluid.
Both a sharp and a relaxed version of the evolution can be understood as ...

We present a new method to calculate automorphic functions for finite index subgroups of triangle groups. Since automorphic functions are holomorphic, it is well known that the real and the imaginary part are both harmonic. ...

While sparse grid least squares regression algorithms have been frequently used to tackle Big Data problems with a huge number of input data in the last 15 years, a thorough theoretical analysis of stability properties, ...

Let Q be either a Dynkin quiver of type A with alternating orientation or the Kronecker quiver. With the indecomposable injective modules over the path algebra of Q and their Auslander-Reiten translates we associate an ...

Sparse signal structures have become increasingly important in signal processing applications as the technology progresses and a plethora of data needs to be handled. It has been shown in practice that various signals have ......

We develop and analyze a numerical two-scale optimization scheme for structural shape optimization. Whenever cost functionals, such as the elastic energy, are subject to minimization, while meeting a constraint on the ...

We present a new approach to the numerical upscaling for elliptic problems with rough diffusion coefficient at high contrast. It is based on the localizable orthogonal decomposition of H¹ into the image and the ......

Overpressurized fluids in the lithosphere play a significant role in a diverse range of globally observed natural hazards. Their occurrence during volcanic eruptions or earth degassing processes is apparent, but their ...

Ausgangsfrage dieser Doktorarbeit war die Gleichverteilung von geschlossenen Geodaetischen im Fundamentalbereich der Modulgruppe in der hyperbolischen Geometrie. Das fuehrt auf das Studium der Eigenfunktionen des ...