Computer simulation has become established in a two-fold way: As a tool for planning, analyzing, and optimizing complex systems but also as a method for the scientific instigation of theories and thus for the generation of knowledge. Generated results often serve as a basis for investment decisions, e.g., road construction and factory planning, or provide evidence for scientific theory-building processes. To ensure the generation of credible and reproducible results, it is indispensable to conduct systematic and methodologically sound simulation studies. A variety of procedure models exist that structure and predetermine the process of a study. As a result, experimenters are often required to repetitively but thoroughly carry out a large number of experiments. Moreover, the process is not sufficiently specified and many important design decisions still have to be made by the experimenter, which might result in an unintentional bias of the results. To facilitate the conducting of simulation studies and to improve both replicability and reproducibility of the generated results, this thesis proposes a procedure model for carrying out Hypothesis-Driven Simulation Studies, an approach that assists the experimenter during the design, execution, and analysis of simulation experiments. In contrast to existing approaches, a formally specified hypothesis becomes the key element of the study so that each step of the study can be adapted and executed to directly contribute to the verification of the hypothesis. To this end, the FITS language is presented, which enables the specification of hypotheses as assumptions regarding the influence specific input values have on the observable behavior of the model. The proposed procedure model systematically designs relevant simulation experiments, runs, and iterations that must be executed to provide evidence for the verification of the hypothesis. Generated outputs are then aggregated for each defined performance measure to allow for the application of statistical hypothesis testing approaches. Hence, the proposed assistance only requires the experimenter to provide an executable simulation model and a corresponding hypothesis to conduct a sound simulation study. With respect to the implementation of the proposed assistance system, this thesis presents an abstract architecture and provides formal specifications of all required services. To evaluate the concept of Hypothesis-Driven Simulation Studies, two case studies are presented from the manufacturing domain. The introduced approach is applied to a NetLogo simulation model of a four-tiered supply chain. Two scenarios as well as corresponding assumptions about the model behavior are presented to investigate conditions for the occurrence of the bullwhip effect. Starting from the formal specification of the hypothesis, each step of a Hypothesis-Driven Simulation Study is presented in detail, with specific design decisions outlined, and generated inter- mediate data as well as final results illustrated. With respect to the comparability of the results, a conventional simulation study is conducted which serves as reference data. The approach that is proposed in this thesis is beneficial for both practitioners and scientists. The presented assistance system allows for a more effortless and simplified execution of simulation experiments while the efficient generation of credible results is ensured.

Our goal is to approximate energy forms on suitable fractals by discrete graph energies and certain metric measure spaces, using the notion of quasi-unitary equivalence. Quasi-unitary equivalence generalises the two concepts of unitary equivalence and norm resolvent convergence to the case of operators and energy forms defined in varying Hilbert spaces. More precisely, we prove that the canonical sequence of discrete graph energies (associated with the fractal energy form) converges to the energy form (induced by a resistance form) on a finitely ramified fractal in the sense of quasi-unitary equivalence. Moreover, we allow a perturbation by magnetic potentials and we specify the corresponding errors. This aforementioned approach is an approximation of the fractal from within (by an increasing sequence of finitely many points). The natural step that follows this realisation is the question whether one can also approximate fractals from outside, i.e., by a suitable sequence of shrinking supersets. We partly answer this question by restricting ourselves to a very specific structure of the approximating sets, namely so-called graph-like manifolds that respect the structure of the fractals resp. the underlying discrete graphs. Again, we show that the canonical (properly rescaled) energy forms on such a sequence of graph-like manifolds converge to the fractal energy form (in the sense of quasi-unitary equivalence). From the quasi-unitary equivalence of energy forms, we conclude the convergence of the associated linear operators, convergence of the spectra and convergence of functions of the operators – thus essentially the same as in the case of the usual norm resolvent convergence.

In der Vorrede zur ersten Auflage von Die Welt als Wille und Vorstellung legt Arthur Schopenhauer dem Leser seines Werkes seine Absicht nahe, welche in der Mitteilung eines „einzigen Gedankens“ besteht. Doch dieser mitzuteilende Gedanke wird an keiner Stelle des Werkes explizit und direkt als solchen von Schopenhauer ausgesprochen und genannt. Dies gibt bis heute in der Schopenhauer-Forschung Anlass zu kontroversen Auseinandersetzungen: Wie lautet Schopenhauers „einziger Gedanke“? Wo befindet er sich konkret? Und ist er überhaupt mitteilbar? Trotz zahlreicher Forschungsarbeiten zur Thematik des „einzigen Gedankens“ wurde bisher der Einfluss der indischen Philosophie, genauer des Oupnek’hat, vernachlässigt, obwohl genauestens nachgewiesen und nachgezeichnet werden kann, mit welchen Quellen sich Schopenhauer zum Zeitpunkt der Entstehung seiner Philosophie intensiv beschäftigt hat. Auch verweist er selbst immer wieder auf bestimmte Stellen aus dem Oupnek’hat und zitiert Passagen an ganz wesentlichen Stellen in seinem Werk. Um den „einzigen Gedanken“ im Werk Schopenhauers erfassen zu können, reicht es nicht aus, nur vom Hauptwerk selbst auszugehen, sondern es müssen ebenfalls die Jahre und Schriften während der Entstehung seiner Philosophie bis zum Hauptwerk berücksichtigt werden, und damit verbunden auch die Quellen, die Schopenhauer beeinflusst haben, wozu insbesondere das Oupnek’hat samt seinen eigenen Randnotizen gehört.

The World's second oldest system of judicial review of national legislation emerged through court practice from the very first years after the adoption of the Constitution of Norway in 1814. The review is exercised by the ordinary courts at all levels with the single Supreme Court as the last instance. No specialized constitutional court has been established. The independence of the judiciary is generally recognized as high. But what degree of legitimacy should judges appointed in order to ensure ordinary judicial business enjoy when exercising a basically political function like reviewing and possibly setting aside acts of Parliament?

Entrepreneurial ventures are associated with economic growth, job creation, and innovation. Most entrepreneurial ventures need external funding to succeed. However, they often find it difficult to access traditional forms of financing, such as bank loans. To overcome this hurdle and to provide entrepreneurial ventures with badly-needed external capital, many types of entrepreneurial finance have emerged over the past decades and continue to emerge today. Inspired by these dynamics, this postdoctoral thesis contains five empirical studies that address novel questions regarding established (e.g., venture capital, business angels) and new types of entrepreneurial finance (i.e., initial coin offerings).