@book{61118,
  abstract     = {{Im Zuge der Digitalisierung erfahren maschinelles Lernen und datengetriebene Methoden derzeit eine große Aufmerksamkeit in Wissenschaft und Industrie. Es fehlt jedoch an Grundlagenwissen und Verständnis, wie die datengetriebenen Methoden der Informatik mit bewährten modellbasierten Ingenieursmethoden wie dem modellbasierten Entwurf in der Mechatronik und Methoden der Regelungstechnik sinnvoll kombiniert werden können, um hybride Modelle zu erhalten. Diese ingenieurwissenschaftlichen Methoden basieren auf physikalischen Verhaltensmodellen, die eine besonders verdichtete und interpretierbare Darstellung von Wissen darstellen und insbesondere kausale Zusammenhänge beschreiben. Für spezifische regelungstechnische Anwendungen gibt es umfangreiches Vorwissen in Form von bekannten Strukturen und Informationen, wie z.B. (Teil-)Modelle oder Parametersätze, die auch bei der Anwendung von Methoden wie dem maschinellen Lernen genutzt werden sollten. Eine solche sinnvolle systematische Verknüpfung ist wissenschaftlich, insbesondere im Hinblick auf die industrielle Anwendung, noch nicht ausreichend untersucht worden und sehr vielversprechend. In diesem Beitrag werden die Ergebnisse der Nachwuchsforschungsgruppe DART – Datengetriebene Methoden in der Regelungstechnik vorgestellt. Das Hauptziel war es, die synergetische Kombination von modell- und datengetriebenen Methoden für regelungstechnische Aufgaben zu erforschen und es werden alle wichtigen Forschungsergebnisse aber auch die verwendeten Grundprinzipien des maschinellen Lernens in diesem Beitrag dargestellt.}},
  author       = {{Timmermann, Julia and Götte, Ricarda-Samantha and Junker, Annika and Hesse, Michael and Schwarzer, Luis}},
  publisher    = {{HNI Verlagsschriftenreihe}},
  title        = {{{DART - Datengetriebene Methoden in der Regelungstechnik}}},
  doi          = {{10.17619/UNIPB/1-2305}},
  volume       = {{Band 430}},
  year         = {{2025}},
}

@article{60050,
  abstract     = {{Reputation systems to rate companies’ performances remain largely unexplored inresearch and are scarcely used in business-to-business (B2B) practice. Such systemsare essential for businesses seeking trustworthy partners, as they help reduce infor-mation asymmetry, lower buyers’ transaction risks, and allow high-quality serviceproviders to justify premium pricing. Unlike traditional review-based systems in thebusiness-to-consumer (B2C) context, we propose a B2B reputation mechanism inwhich buyers commit to a rating payment before a transaction. Once the buyer final-izes the rating, this payment is executed and recorded on a blockchain as an immu-table, secure ledger. Our system mimics natural trust-building mechanisms with rat-ings that are (1) monetary-based, (2) stake-based, (3) non-aggregated, (4) involvecounter-ratings, (5) selectively sellable, (6) individually comparable, (7) stored ona blockchain, (8) and monitored by a third instance. This system provides a novelapproach to fostering trust in B2B transactions by reducing information asymme-try and transaction risk. We illustrate the mechanism’s application in the consultingsector. Our analysis has identified 23 institutional trust and distrust dimensions thatpromote establishing institutional trust through the proposed mechanism. Qualita-tive interviews suggest that, while complex and challenging to apply, this mecha-nism can foster trust in B2B transactions. Given the low maturity in the applicationdomain—rating professional business services with business reputation systems—and solution domain—using monetary stakes for ratings, this system stands as apotential invention.}},
  author       = {{Hemmrich, Simon and Nissen, Volker and Beverungen, Daniel and Pauls, Josias Daniel Miño}},
  journal      = {{Information Systems and e-Business Management}},
  keywords     = {{Information asymmetry, Trust, Reputation system, Monetary rating, Blockchain, Consulting}},
  number       = {{1}},
  publisher    = {{Springer}},
  title        = {{{Blockchain‑based reputation systemsfor business‑to‑business services: designing a reputation mechanism to reduce information asymmetry in professional consulting}}},
  doi          = {{https://doi.org/10.1007/s10257-025-00702-9}},
  volume       = {{23}},
  year         = {{2025}},
}

@inproceedings{64803,
  abstract     = {{Nowadays ultrasound technology is established in various fields of application like industrial production or medical technology. Besides high power ultrasound applications like ultrasonic cleaning and ultrasonic welding, which are often not strongly restricted regarding their weight, costs, and construction space, there are many applications in the low to medium power range like handheld surgical instruments, medical inhalers, or ultrasonic cutters. For the latter there is often a strong demand for low weight and construction space and low costs to be competitive in mass production. Another challenge that arises from the RoHS-directive [1] is, that new ultrasonic devices should avoid the use of lead-containing PZT-materials. Against this background there is a demand for lead-free, small and lightweight and cost-effective ultrasonic transducers.
In many of the above-mentioned applications, pre-stressed Bolted-Langevine-Transducers (BLT) based on lead-containing PZT-materials are established to generate ultrasonic vibrations. These are quite advantageous in many ways and can be built tailored to each application and even for high power of thousands of watts. But due to the required steps during their manufacturing process (machining parts, assembly, pre-stressing, frequency tuning, …), these transducers remain expensive. Furthermore, due to the operation in resonance, the construction space of these transducers is linked to their wavelength and cannot be reduced remarkably.
For these reasons, our aim is to present an innovative lead-free ultrasonic transducer for low to medium power applications, that is based on bending vibrations instead of longitudinal vibrations. This design enables to build very small transducers. Furthermore, due to their simple construction, these transducers can be built at low manufacturing costs and are well suited for industrial mass production. The use of lead-free piezoelectric materials makes this transducer design ready for future applications.
In our contribution we will present the model-based design of a lead-free 30 kHz bending transducer for applications up to 10 W. Furthermore, the comprehensive experimental analysis of this transducer-prototype in applications like mist generation or ultrasonic drilling will be presented. The results will be compared to a PZT-based bending transducer and a classical BLT to show the potential and limits of these kind of transducers and lead-free materials.
}},
  author       = {{Bornmann, Peter and Littmann, Walter and Scheidemann, Claus and Hemsel, Tobias}},
  location     = {{Paderborn, Germany}},
  title        = {{{Innovative lead-free ultrasonic bending transducers for low to medium power applications}}},
  year         = {{2025}},
}

@inproceedings{64802,
  abstract     = {{Power ultrasonic actuators are used in various industrial, automotive and medical applications. Examples are ultrasonic welding of plastics or metal, surgery processes like cutting of tissue or bone, and the excitation of cavitation in liquids for ultrasonic cleaning. From a physical point of view, many of these processes are characterised by non-constant damping conditions for the ultrasonic actuators, since the systems need to be driven in unloaded as well as in high-loaded states. To get high power output, the piezoelectric actuators are usually driven in or near resonance at precisely defined vibration amplitudes. This is a quite complicated task  especially if cost or mass optimized PZT transducers are used or if lead-free piezoelectric ceramics are applied to replace lead-containing materials. In particular the sudden change between loading states is very challenging for electronic excitation and control. The present contribution gives insight into typical problems that may arise in context with sudden load-changes during operation, e.g. uncontrolled jumps in voltage and velocity amplitudes. Measurements on ultrasonic power actuators being abruptly immersed into water at high amplitude are discussed for illustration. Observations during spontaneous load-changes are explained, and it is shown that several problems may be defused by driving the actuators in antiresonance or using a particular driving point in-between resonance and antiresonance (“falling edge control”). The different control strategies are investigated always using just one single hardware.}},
  author       = {{Littmann, Walter and Bornmann, Peter and Hemsel, Tobias and Scheidemann, Claus}},
  location     = {{Paderborn, Germany}},
  title        = {{{Power ultrasonic actuators with suddenly changing loads: How to control the amplitudes in resonance,  antiresonance, or in-between}}},
  year         = {{2025}},
}

@misc{65221,
  author       = {{Kullmer, Gunter and Weiß, Deborah and Duffe, Tobias and Schramm, Britta and Ostwald, Richard}},
  publisher    = {{LibreCat University}},
  title        = {{{BESCHREIBUNG DES R- UND DES TEMPERATUREINFLUSSES SOWIE DES EINLAUFVERHALTENS BEI EXPERIMENTELL BESTIMMTEN RISSFORTSCHRITTSKURVEN MIT DEM EXPONENTIALANSATZ}}},
  doi          = {{https://doi.org/10.48447/BR-2025-492}},
  year         = {{2025}},
}

@inproceedings{59894,
  abstract     = {{<jats:p>Abstract. This study presents intrinsic lubrication as a novel approach to deep drawing processes, using additively manufactured, lubricant-permeable tools to minimize lubricant consumption and improve efficiency. Two systems were evaluated: a passive system based on capillary action and gravity, and an active system using pumped delivery for precise, on-demand application. Experimental tests were conducted on micro-bores (0.2-0.5 mm) to demonstrate their suitability for lubricant transport. Smaller bores have excellent capillary action but are prone to clogging, while larger bores offer higher permeability. The passive system is resource-efficient but requires adjustments to counteract gravitational asymmetry. The active system provides consistent lubricant distribution but is more complex. These findings provide a basis for optimizing intrinsic lubrication systems.</jats:p>}},
  author       = {{Cakici, Ermir and Homberg, Werner}},
  booktitle    = {{Materials Research Proceedings}},
  issn         = {{2474-395X}},
  location     = {{Paestum, Italien}},
  publisher    = {{Materials Research Forum LLC}},
  title        = {{{Intrinsic lubrication: A new approach in the context of the deep drawing process}}},
  doi          = {{10.21741/9781644903599-122}},
  volume       = {{54}},
  year         = {{2025}},
}

@inbook{64218,
  author       = {{Kokew, Stephan Matthias}},
  booktitle    = {{Islamic Theological and Pedagogical Approaches to Religious Education. Interdisciplinary Perspectives on Contemporary Challenges}},
  editor       = {{Karagedik, Ulvi and Yağdı, Senol and Kocyigit, Ibrahim}},
  isbn         = {{ 978-3-7560-1005-9}},
  keywords     = {{Tolerance, Islamic Tradition}},
  pages        = {{263--278}},
  publisher    = {{Nomos}},
  title        = {{{Islamic Principles of Tolerance and Its Relevance for an Islamic Religious Pedagogy -Teaching ›Tolerance‹ in a Contemporary Islamic Education Context: Observations on Semantical Differentiations of Terms and Meanings}}},
  volume       = {{1}},
  year         = {{2025}},
}

@inproceedings{59088,
  abstract     = {{This paper deals with the implementation and results of the application of a multi-stage traffic light control system which includes a simulation-based traffic estimation and model predictive control.
The traffic light control system incorporates a fuzzy system for traffic light phase preselection, followed by a model predictive control to optimise phase combinations and switching times. Predefined phases are selected without restrictions in the order according to a multi-objective optimisation to adapt to the traffic as freely as possible. Initially, the system is tested in simulations and compared with existing methods and analysed afterwards for its effectiveness in a prototype commissioning in field tests. Results indicate high potentials for reducing emissions and waiting times, highlighting the system's value. However, further refinement is necessary for standard implementation. This comprehensive approach demonstrates advancements in traffic management technology, showcasing the potential for enhancing urban mobility and reducing environmental impact.}},
  author       = {{Malena, Kevin and Link, Christopher and Gausemeier, Sandra and Trächtler, Ansgar}},
  booktitle    = {{2024 IEEE 27th International Conference on Intelligent Transportation Systems (ITSC)}},
  issn         = {{2153-0017}},
  keywords     = {{MPC}},
  location     = {{Edmonton (Canada)}},
  publisher    = {{IEEE}},
  title        = {{{Implementation and Results of a Multi-Stage Model Predictive Traffic Light Control System}}},
  doi          = {{10.1109/itsc58415.2024.10919569}},
  volume       = {{27}},
  year         = {{2025}},
}

@article{58807,
  abstract     = {{One of the most important strategies for reducing CO2 emissions in the mobility sector is lightweight construction. In particular, the car body offers several opportunities for weight reduction. Multi-material designs are increasingly being applied to select the most suitable material for the respective load and ultimately achieve synergy effects. For example, aluminium castings are used at the nodes of a spaceframe body. Subsequently, these are joined with profiles to form the bodyshell. To join different materials mechanical joining techniques, such as semi-tubular self-piercing riveting, are deployed. According to the current state of the art, cracks occur in the aluminium castings during the mechanical joining process as a result of the high degree of deformation. Although the aluminium casting alloys of the AlSi-system exhibit low ductility, these alloys reveal excellent castability. In particular, the ability to cast thin structural parts is enabled by the low liquidus point of the near eutectic aluminium casting alloys.
This study addresses the mechanical joining properties of the near eutectic aluminium casting alloy AlSi12, depending on different microstructures. These are achieved by annealing processes and modifying agents. Through an adapted heat treatment, the previously lamellar morphology can be transformed into a globular morphology, which leads to increased ductility and prevents the formation of cracks during the self-piercing riveting (SPR). The joinability is investigated using different die geometries, whereas the joint formation is analysed regarding crack initiation. To evaluate the increased ductility, microstructural and mechanical tests are performed and finally, a microstructure-joinability correlation is established.}},
  author       = {{Neuser, Moritz and Holtkamp, Pia Katharina and Hoyer, Kay-Peter and Kappe, Fabian and Yildiz, Safak and Bobbert, Mathias and Meschut, Gerson and Schaper, Mirko}},
  journal      = {{The Journal of Materials: Design and Applications, Part L}},
  keywords     = {{aluminium, casting, microstructure, joinability, self-piercing riveting}},
  location     = {{Porto, Portugal}},
  publisher    = {{Sage Publications}},
  title        = {{{Mechanical properties and joinability of the near-eutectic aluminium casting alloy AlSi12}}},
  doi          = {{10.1177/14644207251319922}},
  year         = {{2025}},
}

@inproceedings{60290,
  abstract     = {{The constantly increasing demand for climate protection and resource conservation requires innovative and versatile joining processes that improve adaptability to the joining task and robustness to enable flexible manufacturing on a production line. Therefore, the versatile SPR (V-SPR) and tumbling SPR (T-SPR) were developed. Using the example of a mixed material combination HCT590X+Z (t0 = 1.0 mm) / EN AW-6014 T4 (t0 = 2.0 mm), these processes were examined and compared with regard to the binding mechanisms form closure and force closure using micrographs, non-destructive resistance measurements and destructive torsion tests. For this purpose, a new sample geometry was defined, and the methods were adapted to the SPR process variants.</jats:p>}},
  author       = {{Lüder, Stephan and Holtkamp, Pia Katharina and Wituschek, Simon and Bobbert, Mathias and Meschut, Gerson and Lechner, Michael and Schmale, Hans Christian}},
  booktitle    = {{Materials Research Proceedings}},
  editor       = {{Meschut, Gerson and Bobbert, Mathias and Duflou, Joost and Fratini, Livan and Hagenah, Hinnerk and Martins, Paulo A. F. and Merklein, Marion and Micari, Fabrizio}},
  issn         = {{2474-395X}},
  keywords     = {{Joining, Self-Piercing Riveting, Sheet Metal}},
  location     = {{Paderborn}},
  pages        = {{101 -- 108}},
  publisher    = {{Materials Research Forum LLC}},
  title        = {{{Analysis of the binding mechanisms depending on versatile process variants of self-piercing riveting}}},
  doi          = {{10.21741/9781644903551-13}},
  volume       = {{52}},
  year         = {{2025}},
}

@article{63662,
  abstract     = {{The accurate prediction of crack initiation and propagation is essential for assessing the structural integrity of mechanically joined components and other complex assemblies. To overcome the limitations of existing finite element tools, a modular Python framework has been developed to automate three-dimensional crack growth simulations. The program combines geometric reconstruction, adaptive remeshing, and the numerical evaluation of fracture mechanics parameters within a single, fully automated workflow. The framework builds on open-source components and remains solver-independent, enabling straightforward integration with commercial or research finite element codes. A dedicated sequence of modules performs all required steps, from mesh separation and crack insertion to local submodeling, stress and displacement mapping, and iterative crack-front update, without manual interaction. The methodology was verified using a mini-compact tension (Mini-CT) specimen as a benchmark case. The numerical results demonstrate the accurate reproduction of stress intensity factors and energy release rates while achieving high computational efficiency through localized refinement. The developed approach provides a robust basis for crack growth simulations of geometrically complex or residual stress-affected structures. Its high degree of automation and flexibility makes it particularly suited for analyzing cracks in clinched and riveted joints, supporting the predictive design and durability assessment of joined lightweight structures.}},
  author       = {{Krome, Sven and Duffe, Tobias and Kullmer, Gunter and Schramm, Britta and Ostwald, Richard}},
  issn         = {{2076-3417}},
  journal      = {{Applied Sciences}},
  number       = {{1}},
  publisher    = {{MDPI AG}},
  title        = {{{Validation and Verification of Novel Three-Dimensional Crack Growth Simulation Software GmshCrack3D}}},
  doi          = {{10.3390/app16010384}},
  volume       = {{16}},
  year         = {{2025}},
}

@inproceedings{59878,
  abstract     = {{<jats:p>Abstract. In the development of advanced lightweight automotive solutions, self-piercing riveting (SPR) offers the possibility of joining multi-material structures to fulfil a wide variety of requirements. With regard to the entire process chain, production-related pre-deformations of the parts to be joined can influence the geometric shape and load capacity of SPR joints. Various studies have investigated the influence of pre-stretched sheet materials, in the sense of pre-drawing processes, on the formation of SPR joints. The impact of pre-stretching sheet metals on the formation of their geometrical characteristics and the shear-tensile strength of SPR processes was observed [1]. Pre-rolled semi-finished products are also joined together in mixed material automotive structures, e.g. tailor rolled blanks. This work aims to investigate the influence of pre-rolled joining parts on the geometric formation and load-carrying capacity of SPR joints. For this purpose, sheets of metal are cold-formed using a rolling process to induce a defined strain-hardening state in the material and then joined in various combinations. As the degree of deformation increases, the rolling of samples can lead to minimal accumulation of damage in the sheet materials, which can influence the joint behaviour. The rolling process, as well as the subsequent joining process, are also investigated by FEM. The influence of pre-rolled semi-finished products on the strength of the SPR joints is investigated.</jats:p>}},
  author       = {{Schlichter, Malte Christian and Harabati, Özcan and Ludwig, Jean-Patrick and Böhnke, Max and Bielak, Christian Roman and Bobbert, Mathias and Meschut, Gerson}},
  booktitle    = {{Materials Research Proceedings}},
  issn         = {{2474-395X}},
  publisher    = {{Materials Research Forum LLC}},
  title        = {{{Experimental and numerical investigation of the influence of rolling-induced sheet metal deformation on SPR joints}}},
  doi          = {{10.21741/9781644903599-148}},
  volume       = {{54}},
  year         = {{2025}},
}

@article{63440,
  author       = {{Moritzer, Elmar and Brandes, Philipp and Westphal, Max Siegfried and Claes, Leander and Wippermann, Mareen and Düchting, Julia and Henning, Bernd}},
  journal      = {{WAK Jahresmagazin}},
  keywords     = {{Faser-Kunststoff-Verbunde (FKV), Faserverstärkte Kunststoffe (FVK), Organobleche, Ultraschall}},
  pages        = {{26–29}},
  title        = {{{Zerstörungsfreie Ultraschall-Prüfung von Organoblechen}}},
  volume       = {{2025}},
  year         = {{2025}},
}

@inproceedings{65706,
  abstract     = {{<jats:p>Abstract. Saving emissions and a circular economy are key aspects of sustainable production and compliance global climate change targets. Friction-induced solid-state recycling of aluminum scrap to production endless semi-finished products. Scrap is fed into a continuously rotating wheel. This requires less energy compared to heat-based recycling processes. Different sizes, shapes and surfaces of chips can be used as starting material in the process. The influence of this has been shown in past publications. A native oxide layer is a fixed component of aluminum surface. This layer is broken up during the forming process, allowing the aluminum to bond. In addition to the geometry, the surface finishes and the thickness of the oxide layer are therefore also important input variables in friction-induced solid-state recycling. The oxide layers on the chips were determined for the investigation. In addition, different layer thicknesses were produced to survey their influence. The resulting semi-finished products were evaluated on the basis of their tensile strength and microstructure. The main result of the investigations is the fact that semi-finished products made from chips with thicker oxide layers tend to be more brittle. In addition, thick oxide layers cause microstructural and surface defects.</jats:p>}},
  author       = {{Gabsa, Steffen and Homberg, Werner and Goller, Timothy and Nordieker, Ansgar Bernhard and Grundmeier, Guido}},
  booktitle    = {{Materials Research Proceedings}},
  issn         = {{2474-395X}},
  publisher    = {{Materials Research Forum LLC}},
  title        = {{{Influence of different oxide thicknesses on the friction induced and continuous solid-state recycling of aluminum scrap}}},
  doi          = {{10.21741/9781644903599-272}},
  volume       = {{54}},
  year         = {{2025}},
}

@book{59916,
  editor       = {{Garske, Volker}},
  isbn         = {{978-3-14-053634-9}},
  keywords     = {{Reich Gottes, soziale Gerechtigkeit, psychische Stabilität}},
  pages        = {{106}},
  publisher    = {{Westermann / Schöningh}},
  title        = {{{Die Bergpredigt (Mt 5,1-7,29). Interpretationen - Unterrichtsmodell}}},
  year         = {{2025}},
}

@book{64165,
  abstract     = {{Sexualisierte Diskriminierung und Gewalt galten in Hochschulen lange als Tabu und wurden vor allem durch Geschlechterforscher_innen und Gleichstellungsbeauftragte thematisiert. Mit der weltweiten #MeToo-Bewegung erhielt die Debatte um sexualisierte Diskriminierung und Gewalt in der Wissenschaft eine neue Dynamik. Der Band, der aus einer zweiteiligen Tagung an der Ruhr-Universität Bochum und der Universität Paderborn hervorgegangen ist, legt einen Schwerpunkt auf die historischen Dimensionen des Themenfeldes. Die Institution Hochschule und die Traditionslinien sowie die (Abwehr-)Diskurse zu sexualisierter Diskriminierung und Gewalt werden beleuchtet, die auch die gegenwärtigen Verhandlungen und (Nicht-)Bearbeitungen prägen. Der Band gibt Einblicke in die juristische Debatte und den gegenwärtigen Forschungsstand. Vorgestellt werden zudem Analysen und Präventionskampagnen aus der universitären Praxis, die auf unterschiedliche soziale Räume und die Spezifika verschiedener Fachkulturen eingehen.}},
  editor       = {{Langer, Antje and Mahs, Claudia and von Miquel, Beate and Pilgrim, Irmgard and Riegraf, Birgit and Sabisch, Katja}},
  isbn         = {{978-3-658-45514-9}},
  pages        = {{258}},
  publisher    = {{Springer VS}},
  title        = {{{#Me Too in Science}}},
  year         = {{2025}},
}

@misc{63608,
  author       = {{Caruso, Carina}},
  booktitle    = {{Religionspädagogische Beiträge}},
  number       = {{2}},
  pages        = {{Rez. 12, 1--2}},
  title        = {{{Rezension: Yagdi, Senol (2025): Der religionspädagogische Habitus islamischer Religionslehrer*innen. Eine rekonstruktive Studie zu kollektiven Orientierungsrahmen im Kontext (inter-)religiösen Lernens. Wiesbaden: Springer, ISBN 978-3-17-044939-978-3-658-48073-8, 319 Seiten.}}},
  doi          = {{https://doi.org/10.20377/rpb-1982}},
  volume       = {{48}},
  year         = {{2025}},
}

@article{66291,
  abstract     = {{<jats:title>Abstract</jats:title>
          <jats:p>In 1993 Keski-Vakkuri and Wen introduced a model for the fractional quantum Hall effect based on multilayer two-dimensional electron systems satisfying quasi-periodic boundary conditions. Such a model is essentially specified by a choice of a complex torus <jats:italic>E</jats:italic> and a symmetric positively definite matrix <jats:italic>K</jats:italic> of size <jats:italic>g</jats:italic> with non-negative integral coefficients, satisfying some further constraints. The space of the corresponding wave functions turns out to be <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\delta $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>δ</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>-dimensional, where <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\delta $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>δ</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> is the determinant of <jats:italic>K</jats:italic>. We construct a hermitian holomorphic bundle of rank <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\delta $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>δ</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> on the abelian variety <jats:italic>A</jats:italic> (which is the <jats:italic>g</jats:italic>-fold product of the torus <jats:italic>E</jats:italic> with itself), whose fibres can be identified with the space of wave function of Keski-Vakkuri and Wen. A rigorous construction of this “magnetic bundle” involves the technique of Fourier–Mukai transforms on abelian varieties. The constructed bundle turns out to be simple and semi-homogeneous and it can be equipped with two different (and natural) hermitian metrics: the one coming from the center-of-mass dynamics and the one coming from the Hilbert space of the underlying many-body system. We prove that the canonical Bott–Chern connection of the first hermitian metric is always projectively flat and give sufficient conditions for this property for the second hermitian metric.</jats:p>}},
  author       = {{Burban, Igor and Klevtsov, Semyon}},
  issn         = {{0010-3616}},
  journal      = {{Communications in Mathematical Physics}},
  number       = {{5}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus}}},
  doi          = {{10.1007/s00220-025-05267-9}},
  volume       = {{406}},
  year         = {{2025}},
}

@book{66427,
  author       = {{Beule, Felix}},
  isbn         = {{9783819103308}},
  publisher    = {{Shaker Verlag}},
  title        = {{{Methodenentwicklung zur Prognose der richtungsabhängigen Eigenschaftsänderungen von Klebverbindungen aufgrund von Relativverschiebungen während der Aushärtung}}},
  volume       = {{175}},
  year         = {{2025}},
}

@phdthesis{50530,
  abstract     = {{Die Extrusion stellt das mengenmäßig dominante Verarbeitungsverfahren für thermoplastische Kunststoffe dar. Daher gibt es starke Bestrebungen in diesem Bereich hin zu einer höheren Wirtschaftlichkeit, welche beispielsweise durch höheren Massedurchsatz bei gleichbleibender Maschinengröße erreicht werden kann, oder aber auch im Hinblick auf eine Kreislaufwirtschaft die Bestrebung hin zu einer materialschonenden Verarbeitung. Beide Bestrebungen erfordern spezielle Schneckenkonzepte. Hierunter fallenWave- Schnecken, welche in beiden Bereichen ein vorteilhaftes Prozessverhalten aufzeigen sollen. Die Auslegung von Wave-Schnecken erfordert jedoch ein stärkeres Verständnis über das geometrieabhängige Prozessverhalten in der Extrusion. 
Im Rahmen der Dissertation werden zwei Themengebiete angegangen. Das erste Thema ist die Herleitung einer Methode zur Charakterisierung des Abbauverhaltens von Thermoplasten sowie die Nutzung der Charakterisierung als Vorhersagemodell. Das zweite Thema behandelt die Auslegung von Wave-Schnecken basierend auf numerischen Simulationen samt Validierung anhand von sieben Energy-Transfer-Schnecken im Vergleich zu drei konventionellen Schnecken. Hierbei werden unter anderem der Materialabbau, die thermische und die stoffliche Homogenität betrachtet, um ein umfassendes Bild über das Prozessverhalten der Schnecken zu schaffen. Die vorgestellten Untersuchungen dienen schlussendlich zu einer Bestätigung des vorteilhaften Prozessverhaltens von Wave-Schnecken.}},
  author       = {{Schall, Christoph Wilhelm Theodor}},
  isbn         = {{978-3-8440-9334-6}},
  pages        = {{224}},
  publisher    = {{Shaker Verlag}},
  title        = {{{Materialschonende Verarbeitung von Thermoplasten auf Wave-Schnecken}}},
  volume       = {{Band 2/2024}},
  year         = {{2024}},
}

