This work has been motivated by optimizing the efficiency of a ship-propulsion device, the Voith-Schneider Propeller, w.r.t. its steering (determined by the so-called blade-steering curve). We consider a simplified model ...

In this thesis, we consider stationary Poisson cylinder processes (PCPs). Here, a cylinder is defined as the Minkowski sum of a linear vectorspace and a polyconvex set in the orthogonal space. A PCP is a random set of ...

In this thesis we analyze consumption-investment problems with state-dependent discounting. We assume that the investor discounts his future utility by a non-exponential discount function which depends on his personal ...

This thesis primarily gives an overview of research on so called betweenness relations with a focus on own contributions to that subject. Betweenness relations represent a generalisation of the geometric notion that one ...

In this PhD thesis, strongly continuous operator semigroups are studied. We show that contractivity or positivity of such a semigroup can have a profound impact on its long time behaviour. Moreover, we perform a detailed ...

Labor and product market institutions are regarded as central factors for explaining differences in the evolution of unemployment across countries. It is generally assumed that reforms which serve to reduce institutional ...

The aim of this thesis is to thoroughly study structural default models based on jump-diffusion processes. Jump-diffusion models were first proposed by Zhou (2001), who also showed that these models have several desirable ...

When studying the dependence structure of multivariate random vectors, the copula is crucial. A copula is called exchangeable, if it is invariant under any permutation of its arguments. In this thesis, a limit for the ...

Following the approach of J.-L. Lions we study non-autonomous Cauchy problems by form methods in this thesis. We replace the assumption of the closedness of the forms by their closability and extend the definition of weak ...

This thesis is about the hypergeometric system of differential equations. Until now, fundamental solutions for this system are just known in dimension 2 and very special cases in higher dimension. In dimension 2 it is ...