In this thesis we study structure-preserving model reduction methods for the efficient and reliable approximation of dynamical systems. A major focus is the approximation of a nonlinear flow problem on networks, which can, e.g., be used to describe gas network systems. Our proposed approximation framework guarantees so-called port-Hamiltonian structure and is general enough to be realizable by projection-based model order reduction combined with complexity reduction. We divide the discussion of the flow problem into two parts, one concerned with the linear damped wave equation and the other one with the general nonlinear flow problem on networks. The study around the linear damped wave equation relies on a Galerkin framework, which allows for convenient network generalizations. Notable contributions of this part are the profound analysis of the algebraic setting after space-discretization in relation to the infinite dimensional setting and its implications for model reduction. In particular, this includes the discussion of differential-algebraic structures associated to the network-character of our problem and the derivation of compatibility conditions related to fundamental physical properties. Amongst the different model reduction techniques, we consider the moment matching method to be a particularly well-suited choice in our framework. The Galerkin framework is then appropriately extended to our general nonlinear flow problem. Crucial supplementary concepts are required for the analysis, such as the partial Legendre transform and a more careful discussion of the underlying energy-based modeling. The preservation of the port-Hamiltonian structure after the model-order- and complexity-reduction-step represents a major focus of this work. Similar as in the analysis of the model order reduction, compatibility conditions play a crucial role in the analysis of our complexity reduction, which relies on a quadrature-type ansatz. Furthermore, energy-stable time-discretization schemes are derived for our port-Hamiltonian approximations, as structure-preserving methods from literature are not applicable due to our rather unconventional parametrization of the solution. Apart from the port-Hamiltonian approximation of the flow problem, another topic of this thesis is the derivation of a new extension of moment matching methods from linear systems to quadratic-bilinear systems. Most system-theoretic reduction methods for nonlinear systems rely on multivariate frequency representations. Our approach instead uses univariate frequency representations tailored towards user-defined families of inputs. Then moment matching corresponds to a one-dimensional interpolation problem rather than to a multi-dimensional interpolation as for the multivariate approaches, i.e., it involves fewer interpolation frequencies to be chosen. The notion of signal-generator-driven systems, variational expansions of the resulting autonomous systems as well as the derivation of convenient tensor-structured approximation conditions are the main ingredients of this part. Notably, our approach allows for the incorporation of general input relations in the state equations, not only affine-linear ones as in existing system-theoretic methods.

The present thesis is devoted to a construction which defies generalisations about the prototypical English noun phrase (NP) to such an extent that it has been termed the Big Mess Construction (Berman 1974). As illustrated by the examples in (1) and (2), the NPs under study involve premodifying adjective phrases (APs) which precede the determiner (always realised in the form of the indefinite article a(n)) rather than following it. (1) NoS had not been hijacked – that was too strong a word. (BNC: CHU 1766) (2) He was prepared for a battle if the porter turned out to be as difficult a customer as his wife. (BNC: CJX 1755) Previous research on the construction is largely limited to contributions from the realms of theoretical syntax and a number of cursory accounts in reference grammars. No comprehensive investigation of its realisations and uses has as yet been conducted. My thesis fills this gap by means of an exhaustive analysis of the construction on the basis of authentic language data retrieved from the British National Corpus (BNC). The corpus-based approach allows me to examine not only the possible but also the most typical uses of the construction. Moreover, while previous work has almost exclusively focused on the formal realisations of the construction, I investigate both its forms and functions. It is demonstrated that, while the construction is remarkably flexible as concerns its possible realisations, its use is governed by probabilistic constraints. For example, some items occur much more frequently inside the degree item slot than others (as, too and so stand out for their particularly high frequency). Contrary to what is assumed in most previous descriptions, the slot is not restricted in its realisation to a fixed number of items. Rather than representing a specialised structure, the construction is furthermore shown to be distributed over a wide range of possible text types and syntactic functions. On the other hand, it is found to be much less typical of spontaneous conversation than of written language; Big Mess NPs further display a strong preference for the function of subject complement. Investigations of the internal structural complexity of the construction indicate that its obligatory components can optionally be enriched by a remarkably wide range of optional (if infrequent) elements. In an additional analysis of the realisations of the obligatory but lexically variable slots (head noun and head of AP), the construction is highlighted to represent a productive pattern. With the help of the methods of Collexeme Analysis (Stefanowitsch and Gries 2003) and Co-varying Collexeme Analysis (Gries and Stefanowitsch 2004b, Stefanowitsch and Gries 2005), the two slots are, however, revealed to be strongly associated with general nouns and ‘evaluative’ and ‘dimension’ adjectives, respectively. On the basis of an inspection of the most typical adjective-noun combinations, I identify the prototypical semantics of the Big Mess Construction. The analyses of the constructional functions centre on two distinct functional areas. First, I investigate Bolinger’s (1972) hypothesis that the construction fulfils functions in line with the Principle of Rhythmic Alternation (e.g. Selkirk 1984: 11, Schlüter 2005). It is established that rhythmic preferences co-determine the use of the construction to some extent, but that they clearly do not suffice to explain the phenomenon under study. In a next step, the discourse-pragmatic functions of the construction are scrutinised. Big Mess NPs are demonstrated to perform distinct information-structural functions in that the non-canonical position of the AP serves to highlight focal information (compare De Mönnink 2000: 134-35). Additionally, the construction is shown to place emphasis on acts of evaluation. I conclude the construction to represent a contrastive focus construction. My investigations of the formal and functional characteristics of Big Mess NPs each include analyses which compare individual versions of the construction to one another (e.g. the As Big a Mess, Too Big a Mess and So Big a Mess Constructions). It is revealed that the versions are united by a shared core of properties while differing from one another at more abstract levels of description. The question of the status of the constructional versions as separate constructions further receives special emphasis as part of a discussion in which I integrate my results into the framework of usage-based Construction Grammar (e.g. Goldberg 1995, 2006).

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).

Es wird ein Workshopkonzept dargelegt, um das im Rahmen des PODMAN-Projektes entwickelte DIAMANTModell zur Implementierung einer institutionellen FDM-Servicelandschaft kennenzulernen. Anhand von Beispielen erfahren die Teilnehmenden, wie die entwickelten Instrumente auf die eigene Forschungseinrichtung angewendet werden. Primär wird das Konzept für den Initial-Workshop vorgestellt, der alle FDM-Akteur*innen einer Forschungseinrichtung zusammenbringt, um das DIAMANT-Modell zunächst auf die gesamte Forschungseinrichtung zu applizieren. Daraus wurde ein weiteres Workshopkonzept abgeleitet, das insbesondere für die fach- oder abteilungsspezifische Bedarfserhebung vorgesehen ist.

Das DIAMANT-Modell wurde im Rahmen des BMBF-geförderten Projekts „Prozessorientierte Entwicklung von Managementinstrumenten für Forschungsdaten im Lebenszyklus“ (PODMAN) entwickelt. Das grundsätzliche Ziel des Modells besteht darin, Hochschulen und außeruniversitäre Forschungseinrichtungen zu befähigen, eine integrierte Informationsarchitektur für die optimierte Bereitstellung und Weiterentwicklung von Forschungsdatenmanagement (FDM)-Technologien und -services aufzubauen und zu pflegen, sodass die Forschenden ihre Forschungsdatensätze zu „hochkarätigen Diamanten“ schleifen können. Das DIAMANTModell besteht zum einen aus dem FDM-Referenzprozess, der – angelehnt an die ARIS-Prozessmodellierung – den gesamten FDM-Prozess und die zugehörigen Akteur*innen darstellt und ihren Grad der Beteiligung / Verantwortung an einem FDM-Service benennt. Der FDM-Referenzprozess sieht die Etablierung einer zentralen FDM-Steuerungseinheit vor, die den Informationsfluss zwischen allen am FDM beteiligten Organisationseinheiten steuert. Ein weiterer Bestandteil des DIAMANT-Modells ist die FDM-Kompetenzmatrix, die sich aus dem FDM-Referenzprozess ableitet. Sie dient der IST- / SOLL-Analyse, um den Referenzprozess auf die eigene Institution übertragen zu können. Abgeleitet wurde auch ein Beschreibungsmodell für FDMServices, um einen FDM-Service- /-Anforderungskatalog zu entwickeln und institutsspezifisch fortzuschreiben. Letzter Teil des DIAMANT-Modells sind Empfehlungen, welche Aspekte hinsichtlich der Personalführung und des Organisationsmanagements bei der Implementierung der FDM-Servicelandschaft berücksichtigt werden sollten.