• Narrative Echoes across Time and Space 

      Pannach, Franziska Anne-Katrin (2024-02-16)
      Originating in mythological research, the Hylistic theory introduces hylemes as a basic plot unit, containing actions, states, or background information derived from a source. These statements are organized in hyleme ...
    • Matching Patterns with Variables in Approximate Settings 

      Siemer, Stefan (2024-02-12)
      In the literature dealing with patterns with variables, a word, also called string, is a sequence of terminal letters, while a pattern is a sequence of terminal and variable letters. The problem of deciding if there is a ...
    • An Integration Theorem for Representations of the Tangent Algebroid 

      Busche, Geoffrey-Desmond (2024-02-09)
      This dissertation investigates representations of Lie groupoids and Lie algebroids and the connection between them. Lie groupoids and Lie algebroids are differential-geometric generalisations of Lie groups and Lie ...
    • Toward Trustworthiness of Deep Learning Models for 12-Lead ECGs 

      Bender, Theresa (2024-01-31)
      A 12-lead electrocardiogram (ECG), a common examination tool in cardiology, represents the electrical activity of the heart as waveforms. Predictions and classifications with deep learning (DL) algorithms show great potential ...
    • A Multi-Layered Identity and Access Management Solution for Establishment of Scalable Federated Identity 

      Dabbaghi Varnosfaderani, Shirin (2023-12-22)
      Federated identity management (FIM) systems are defined as a group of organizations (entities) that have agreed to establish trust relationships and share identity information to enable seamless access to resources across ...
    • Improving the analysis of aeroacoustic measurements through machine learning 

      Goudarzi, Armin (2023-11-20)
      This thesis focuses on improving the analysis of aeroacoustic imaging methods using automated data processing and machine learning. Imaging methods result in beamforming maps that are challenging to explore manually since ...
    • Adaptive numerical methods for optimal and branched transport problems 

      Minevich, Olga (2023-11-20)
      Optimal transport is an area of mathematical research that has been gaining popularity in recent years in various application fields such as economics, statistics or machine learning. Two important factors behind its ...
    • Diophantine problems: inequalities and abelian varieties 

      Munkelt, Florian Maximilian (2023-11-10)
      In this thesis we consider the density of rational points near manifolds and a bound for the torsion on a simple abelian variety of type IV over a number field. In the first part the main result is an asymptotic for the ...
    • Service-Differentiated Cooperative Routing in the Internet of Things 

      Ayoub, Milad (2023-11-06)
      The IPv6 Routing Protocol for Low-power and Lossy Networks (RPL) was designed to operate with different Internet of Things (IoT) applications ranging from regular, to critical, to alarm/sporadic. That is due to its ability ...
    • Cyclotomic Norm Diophantine Equations 

      Chen, Han (2023-10-25)
      In this thesis, I consider two Diophantine norm equations. For the equation of the Nagell-Ljunggren equation $\frac{x^p-1}{x-1} = p^e y^q$ with distinct odd prime exponents $p, q$, I show that, for $p > 3$, it has no ...
    • A Wasserstein-like Distance on Vector Fields 

      Sommer, Vincent (2023-10-06)
      We introduce a new distance on the space of vector fields over a Riemannian manifold that is motivated by the construction and properties of the Wasserstein distance. The construction relies on a particular metric on the ...
    • Rational points and lines on cubic hypersurfaces 

      Bernert, Christian (2023-10-02)
      We study the solubility of cubic diophantine equations. In the first chapter, we discuss the convergence of the singular series of a cubic form, which is a central object in the study of the solutions of the associated ...
    • Mathematics of Biomolecular Structure Experiments 

      Wiechers, Henrik (2023-09-29)
      One of the main objectives of structural biology is to understand the complicated three-dimensional structure of biomolecules, and thus provide meaningful links between structure and functionality. There is a wide range ...
    • Twisted equivariant K-theory and equivariant T-duality 

      Dove, Thomas (2023-09-18)
      This thesis is about two things: twisted equivariant K-theory and equivariant topological T-duality. First, we prove a fixed point decomposition theorem for twisted equivariant K-theory, generalising a result of Atiyah and ...
    • Weakly Regular Hyperbolic Boundary Value Problems of Real Type 

      Correa, Santiago (2023-09-11)
      In this thesis, we derive energy estimates for weakly regular hyperbolic boundary value problems of real type, for which the Lopatinskii condition degenerates in a specific way in the so-called hyperbolic region. Such ...
    • Scalable and Reliable Framework to Detect and Mitigate DDoS Attack in OpenFlow-based SDN Network 

      Fazely Hamedani, Amirreza (2023-08-10)
      Software-defined networking in recent years has come into the sight of so many network designers as a successor to traditional networking. Unlike traditional networks where control and data planes engage together within a ...
    • A Central Limit Theorem for Functions on Weighted Sparse Inhomogeneous Random Graphs 

      Wemheuer, Moritz (2023-07-13)
      We prove a central limit theorem for a certain class of functions on weighted sparse inhomogeneous random graphs. The proof uses a perturbative form of Stein's method and relies on a careful analysis of the local structure ...
    • Aspect-based Document Similarity for Literature Recommender Systems 

      Ostendorff, Malte (2023-06-20)
      Literature recommendation systems assist readers in the discovery of relevant documents. Content-based systems recommend documents similar to the currently viewed document. However, the simple distinction between similar ...
    • Propagation of polarization sets for systems of generalized transverse type and for systems of MHD type 

      Darwich, Rayhana (2023-06-16)
      Polarization sets were introduced by Dencker (1982) as a refinement of wavefront sets to the vector-valued case. He also clarified the propagation of polarization sets when the characteristic variety of the pseudodifferential ...
    • Surface waves as Fourier integral operators with complex phase 

      Mattar Marriaga, Gisel (2023-06-16)
      This thesis studies linear hyperbolic boundary value problems that admit surface waves as solutions. Surface waves are related to a specific type of weakly regular hyperbolic boundary value problems, where the precise ...