By investigating robustness, public transport optimization, and their interface, this dissertation contributes research to the field of mathematical optimization via the cumulation of five individual but thematically ...

This thesis investigates the interplay between geometry and convex analysis in Hadamard spaces. Motivated by numerous applications of CAT(0) geometry, our work builds upon the results in convex analysis and Alexandrov ...

The Julia set of the class of hyperbolic rational maps having a totally disconnected Julia set is here identified as the Martin boundary of a Markov chain by using symbolic dynamics. When ...

The extreme value dependence structure in uni- as well as multivariate time series may be described in a simplified way using suitable characteristics. These include concepts such as the ...

We are looking at functions $f : \mathbb{R}^d → \mathbb{R}$ and reconstruct them by $f (x) =\sum_{j=1}^N \alpha_j K(x,x_j)$, where $K$ is a positive definite, symmetric kernel, $x_j \in \mathbb{R}^d , \alpha_j \in \mathbb{R}$.In ...

There is a demand for efficient, uniform, and long-term management of participants in medical research projects. In Germany, this demand originates from the “bench-to-bedside”-approach, the increase in funding of collaborative ...

In this dissertation we study the lp-cohomology of discrete groups of type FPn. We give a duality statement and prove some vanishing results, in particular for groups with an ...

For modern distributed systems, it is important that they adhere to real-time requirements, e.g. to deliver a response to a request within a given deadline. For assuring the quality of ...

Up-to-date software systems are often modular and need to be changeable. While modularity is believed to reduce software production costs, it also leads to increased difficulty in testing, ...

Spam is still an open problem from the network operator's perspective. The common state-of-the-art strategy is to place filters against spam at the recipient's edge. Although this strategy largely solves the spam problem ...