@unpublished{64266, abstract = {{We study the large-time asymptotic behavior of solutions to the discrete-time heat equation, i.e., caloric functions, on affine buildings, including those without transitive group actions. For each $p \in [1, \infty]$, we introduce a notion of a $p$-mass function and prove that caloric functions with initial data belonging to certain weighted-$\ell^1$ spaces or to the radial $\ell^1$ class, asymptotically decouple as the product of this mass function and the heat kernel. These results extend classical analogues from Euclidean spaces and symmetric spaces of non-compact type to the non-Archimedean setting, and remain valid even for exotic buildings beyond the Bruhat--Tits framework. We characterize the spatial concentration of heat kernels in $p$-norms and describe the geometry of associated critical regions. Our results highlight substantial differences in the asymptotic regimes depending on the value of $p$, and clarify the interplay between volume growth and heat diffusion.}}, author = {{Papageorgiou, Effie and Trojan, Bartosz}}, booktitle = {{arXiv:2506.17042}}, title = {{{Mass Functions and Asymptotic Behavior of Caloric Functions on Affine Buildings}}}, year = {{2025}}, } @article{61932, abstract = {{Substantial improvements in the performance of optical interconnects based on multi-mode fibers are required to support emerging single-channel data transmission rates of 200 Gb/s and 400 Gb/s. Future optical components must combine very high modulation bandwidths—supporting signaling at 100 Gbaud and 200 Gbaud—with reduced spectral width to mitigate chromatic-dispersion-induced pulse broadening and increased brightness to further restrict flux-confining area in multi-mode fibers and thereby increase the effective modal bandwidth (EMB). A particularly promising route to improved performance within standard oxide-confined VCSEL technology is the introduction of multiple isolated or optically coupled oxide-confined apertures, which we refer to collectively as multi-aperture (MA) VCSEL arrays. We show that properly designed MA VCSELs exhibit narrow emission spectra, narrow far-field profiles and extended intrinsic modulation bandwidths, enabling longer-reach data transmission over both multi-mode (MMF) and single-mode fibers (SMF). One approach uses optically isolated apertures with lateral dimensions of approximately 2–3 µm arranged with a pitch of 10–12 µm or less. Such devices demonstrate relaxation oscillation frequencies of around 30 GHz in continuous-wave operation and intrinsic modulation bandwidths approaching 50 GHz. Compared with a conventional single-aperture VCSELs of equivalent oxide-confined area, MA designs can reduce the spectral width (root mean square values < 0.15 nm), lower series resistance (≈50 Ω) and limit junction overheating through more efficient multi-spot heat dissipation at the same total current. As each aperture lases in a single transverse mode, these devices exhibit narrow far-field patterns. In combination with well-defined spacing between emitting spots, they permit tailored restricted launch conditions in MMFs, enhancing effective modal bandwidth. In another MA approach, the apertures are optically coupled such that self-injection locking (SIL) leads to lasing in a single supermode. One may regard one of the supermodes as acting as a master mode controlling the other one. Streak-camera studies reveal post-pulse oscillations in the SIL regime at frequencies up to 100 GHz. MA VCSELs enable a favorable combination of wavelength chirp and chromatic dispersion, extending transmission distances over MMFs beyond those expected for zero-chirp sources and supporting transfer bandwidths up to 60 GHz over kilometer-length SMF links.}}, author = {{Ledentsov, Nikolay N. and Ledentsov, Nikolay and Shchukin, Vitaly A. and Ledentsov, Alexander N. and Makarov, Oleg Yu. and Titkov, Ilya E. and Lindemann, Markus and de Adelsburg Ettmayer, Thomas and Gerhardt, Nils Christopher and Hofmann, Martin R. and Chen, Xin and Hurley, Jason E. and Dong, Hao and Li, Ming-Jun}}, issn = {{2304-6732}}, journal = {{Photonics}}, number = {{10}}, publisher = {{MDPI AG}}, title = {{{VCSELs: Influence of Design on Performance and Data Transmission over Multi-Mode and Single-Mode Fibers}}}, doi = {{10.3390/photonics12101037}}, volume = {{12}}, year = {{2025}}, } @article{61931, abstract = {{Recent research revealed that single-mode vertical-cavity surface-emitting lasers under spin injection (spin-VCSELs) have the potential to revolutionize laser technology for short-haul optical communications. While previous studies have focused solely on single-mode operation, this study introduces multimode spin-VCSELs. We experimentally demonstrate the existence of multi-resonant polarization dynamics when spin is injected, a phenomenon previously unobserved. The development opens the door to significantly faster and more efficient optical communication systems by harnessing the collective behavior of multiple laser modes. Furthermore, we lay the groundwork for understanding multimode operation through the extension of the single-mode spin–flip model, which forms the basis for present and future analyses of multimode spin-laser operation. This work is an important step toward realizing the full potential of spin-VCSELs and, thus, enables significantly improved performance of spin-VCSEL-based optical networks in the future.}}, author = {{Diiankova, Uliana and Drong, Mariusz and Pusch, Tobias and Michalzik, Rainer and Lindemann, Markus and Gerhardt, Nils Christopher and Hofmann, Martin R.}}, issn = {{2378-0967}}, journal = {{APL Photonics}}, number = {{10}}, publisher = {{AIP Publishing}}, title = {{{Multimode vertical-cavity surface-emitting lasers under spin injection}}}, doi = {{10.1063/5.0286998}}, volume = {{10}}, year = {{2025}}, } @article{56717, abstract = {{We establish a multiresolution analysis on the space $\text{Herm}(n)$ of $n\times n$ complex Hermitian matrices which is adapted to invariance under conjugation by the unitary group $U(n).$ The orbits under this action are parametrized by the possible ordered spectra of Hermitian matrices, which constitute a closed Weyl chamber of type $A_{n-1}$ in $\mathbb R^n.$ The space $L^2(\text{Herm}(n))^{U(n)}$ of radial, i.e. $U(n)$-invariant $L^2$-functions on $\text{Herm}(n)$ is naturally identified with a certain weighted $L^2$-space on this chamber. The scale spaces of our multiresolution analysis are obtained by usual dyadic dilations as well as generalized translations of a scaling function, where the generalized translation is a hypergroup translation which respects the radial geometry. We provide a concise criterion to characterize orthonormal wavelet bases and show that such bases always exist. They provide natural orthonormal bases of the space $L^2(\text{Herm}(n))^{U(n)}.$ Furthermore, we show how to obtain radial scaling functions from classical scaling functions on $\mathbb R^{n}$. Finally, generalizations related to the Cartan decompositions for general compact Lie groups are indicated.}}, author = {{Langen, Lukas and Rösler, Margit}}, journal = {{Indagationes Mathematicae}}, number = {{6}}, pages = {{1671--1694}}, publisher = {{Elsevier}}, title = {{{Multiresolution analysis on spectra of hermitian matrices}}}, volume = {{36}}, year = {{2025}}, } @unpublished{64287, abstract = {{The Casselman-Wallach theorem is a foundational result in the theory of representations of real reductive groups connecting algebraic representations to topological representations. We provide a quantitative version of this theorem. For that we introduce the notion of {\it Sobolev gap} for a Harish-Chandra module. This is a new invariant whose finiteness is highly non-trivial. We determine the Sobolev gap for representations in the unitary dual of the group $\SL(2,\R)$ and establish uniform finiteness results in general for representations of the discrete series and the minimal principal series. We use these notions to reformulate and extend classical results of Bernstein and Reznikov concerning automorphic functionals with respect to cocompact lattices. In particular, we prove an abstract convexity bound which applies to automorphic functionals with respect to general lattices in $\SL(2,\R)$ and is independent of the type of unitarizable irreducible Harish-Chandra module. Finally, we offer an extensive list of open problems.}}, author = {{Bernstein, Joseph and Ganguly, Pritam and Krötz, Bernhard and Kuit, Job and Sayag, Eitan}}, title = {{{On norms on Harish-Chandra modules}}}, year = {{2025}}, } @article{64289, abstract = {{Abstract Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations $$\overline{\rho }$$ ρ ¯ of the Lie group $${{\,\textrm{Diff}\,}}_c(M)$$ Diff c ( M ) of compactly supported diffeomorphisms of a smooth manifold M that satisfy a so-called generalized positive energy condition. In particular, this captures representations that are in a suitable sense compatible with a KMS state on the von Neumann algebra generated by $$\overline{\rho }$$ ρ ¯ . We show that if M is connected and $$\dim (M) > 1$$ dim ( M ) > 1 , then any such representation is necessarily trivial on the identity component $${{\,\textrm{Diff}\,}}_c(M)_0$$ Diff c ( M ) 0 . As an intermediate step towards this result, we determine the continuous second Lie algebra cohomology $$H^2_\textrm{ct}(\mathcal {X}_c(M), \mathbb {R})$$ H ct 2 ( X c ( M ) , R ) of the Lie algebra of compactly supported vector fields. This is subtly different from Gelfand–Fuks cohomology in view of the compact support condition.}}, author = {{Janssens, Bas and Niestijl, Milan}}, issn = {{0010-3616}}, journal = {{Communications in Mathematical Physics}}, number = {{2}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms}}}, doi = {{10.1007/s00220-024-05226-w}}, volume = {{406}}, year = {{2025}}, } @techreport{62172, author = {{Kokew, Stephan Matthias}}, issn = {{1864-9483}}, pages = {{88--89}}, publisher = {{Aschendorff}}, title = {{{Ressourcen für Resilienz in islamischer Tradition. Theologische, ethische und mystische Perspektiven}}}, volume = {{2/2025}}, year = {{2025}}, } @inproceedings{59910, abstract = {{The connection between inconsistent databases and Dung’s abstract argumentation framework has recently drawn growing interest. Specifically, an inconsistent database, involving certain types of integrity constraints such as functional and inclusion dependencies, can be viewed as an argumentation framework in Dung’s setting. Nevertheless, no prior work has explored the exact expressive power of Dung’s theory of argumentation when compared to inconsistent databases and integrity constraints. In this paper, we close this gap by arguing that an argumentation framework can also be viewed as an inconsistent database. We first establish a connection between subset-repairs for databases and extensions for AFs considering conflict-free, naive, admissible, and preferred semantics. Further, we define a new family of attribute-based repairs based on the principle of maximal content preservation. The effectiveness of these repairs is then highlighted by connecting them to stable, semi-stable, and stage semantics. Our main contributions include translating an argumentation framework into a database together with integrity constraints. Moreover, this translation can be achieved in polynomial time, which is essential in transferring complexity results between the two formalisms.}}, author = {{Mahmood, Yasir and Hecher, Markus and Ngonga Ngomo, Axel-Cyrille}}, booktitle = {{Proceedings of the AAAI Conference on Artificial Intelligence}}, issn = {{2374-3468}}, number = {{14}}, pages = {{15058--15066}}, publisher = {{Association for the Advancement of Artificial Intelligence (AAAI)}}, title = {{{Dung’s Argumentation Framework: Unveiling the Expressive Power with Inconsistent Databases}}}, doi = {{10.1609/aaai.v39i14.33651}}, volume = {{39}}, year = {{2025}}, } @article{63181, abstract = {{ Purpose This study aims to explore the current state of generative artificial intelligence (genAI) in the workplace and discuss a potential digital divide in relation to genAI. Design/methodology/approach Using a quantitative approach, we study career-relevant predictors – family socio-economic status, education and work characteristics – and their relationship with different indicators of digital divide – access, genAI use, attitude toward AI and perceived AI literacy. To test our hypothesis, we used logistic and linear regression analyses. Additionally, latent profile analysis was conducted to identify patterns regarding work characteristics within the sample. Findings Among the 1,341 participants, 326 individuals were genAI users. Our results show that higher family socio-economic status, education and enriched and demanding work can be linked to a more positive attitude toward AI and higher perceived AI literacy. In the case of access and frequency of use, the results were mixed. Originality/value Our findings offer a novel contribution by examining a potentially upcoming digital divide in the case of genAI. We focus on how the career adaptation of the workforce might develop in the age of genAI. Importantly, we highlight that not all individuals may have an equal opportunity to adapt to genAI, which could hinder their future career development and reinforce patterns of inequality. Future research should address how to promote inclusivity and consider individual differences in adapting to genAI. }}, author = {{Neufeld, Katharina and Ohly, Sandra and Sedefoglu-Ulucak, Didem and Steinhardt, Isabel and Mauermeister, Sylvi}}, issn = {{1362-0436}}, journal = {{Career Development International}}, pages = {{1--19}}, publisher = {{Emerald}}, title = {{{Analyzing the role of family socio-economic status, education and work characteristics in times of generative artificial intelligence and digital divide}}}, doi = {{10.1108/cdi-10-2024-0442}}, year = {{2025}}, } @article{64551, abstract = {{Laterally coupled vertical-cavity surface-emitting lasers (VCSELs) can exhibit additional resonances at high modulation frequencies that can substantially increase the laser’s modulation bandwidth. State-of-the-art laterally coupled devices require non-standard manufacturing technology and precise tuning of the currents supplied to each cavity separately to form optical supermodes suitable for such resonances. Here, we report on a novel switching phenomenon in laterally coupled VCSEL structures having only a single common electric contact and manufactured in a standard oxide-confined VCSEL geometry. At lower currents, they can be operated in a weakly coupled (WCR) regime and, at higher currents, in an injection-locked (IL) regime, enabling fundamentally different spectral and dynamic features. In the WCR, both optical supermodes lase and a narrow tunable plasma-assisted peak at their beating frequency is observed for each of the apertures, with a current-dependent frequency tuning and anti-phase intensity oscillations in each of the cavities. In contrast, in the IL regimes, only one (anti-symmetric) supermode lases. This adds a broader resonance to the modulation response while the intensity oscillations in both cavities are in-phase. Only the IL regime can result in increased modulation bandwidth of the system. Measurements of the pulse responses and continuous modulation up to 70 GHz for both operational regimes are presented and compared with simulations of our distributed rate equation model whose parameters are extracted from full-wave electromagnetic simulations of the device, including the temperature distribution in the device. Excellent agreement is found and enables comprehensive understanding of the dynamics of supermodes in oxide-confined coupled cavity VCSELs.}}, author = {{Lindemann, M. and D’Alessandro, M. and Ledentsov, N. and Makarov, O. Y. and Ledentsov, N. N. and Tibaldi, A. and Gerhardt, Nils Christopher and Hofmann, M. R.}}, issn = {{0021-8979}}, journal = {{Journal of Applied Physics}}, number = {{5}}, publisher = {{AIP Publishing}}, title = {{{Laterally coupled vertical-cavity surface-emitting lasers with tunable resonance width and frequency}}}, doi = {{10.1063/5.0275622}}, volume = {{138}}, year = {{2025}}, } @article{58163, abstract = {{Fibre-reinforced polymers are increasingly used due to their high specific strength, making them suitable for local sheet metal reinforcement. This allows improved overall mechanical properties with reduced wall thickness of the sheet metal part and, thus, lower weight of the components. One of the main focuses of research into such hybrid structures is on the adhesive properties and the respective failure behaviour of the interfaces. Generally, the failure behaviour under the influence of mechanical loads can be divided into adhesive, cohesive and mixed-mode failure. The correlation between observed failure behaviour and adhesion properties of the hybrid composite materials is analysed in detail in this work. The hybrid composite consists of an aluminium sheet of the alloy EN AW‑6082 T6 and thermoset carbon fibre-reinforced plastic (CFRP) prepreg. The aluminium sheet was laser pretreated before hybrid production to improve the adhesion properties. The specimens studied were produced by the prepreg pressing process, in which the components are cured and joined simultaneously. The influences of the thickness of the CFRP part, the layup, the fibre orientation at the boundary layer, and the laser pretreatment parameters on the properties of the hybrid joints were investigated.}}, author = {{Wu, Shuang and Delp, Alexander and Freund, Jonathan and Walther, Frank and Haubrich, Jan and Löbbecke, Miriam and Tröster, Thomas}}, issn = {{0021-8464}}, journal = {{The Journal of Adhesion}}, keywords = {{Prepreg pressing process, hybrid joints, laser surface pretreatment, intrinsic manufacturing, CFRP, aluminium, materials engineering}}, pages = {{1--26}}, publisher = {{Informa UK Limited}}, title = {{{Correlation between interlaminar shear strength of CFRP and joint strength of aluminium-CFRP hybrid joints}}}, doi = {{10.1080/00218464.2024.2439956}}, year = {{2025}}, } @article{62727, abstract = {{With the increasing amount of data in collaborative engineering research, the need for effective and efficient data management is growing. This paper uses a maturity-based process model to examine the implementation of research data management (RDM) in engineering projects. A process model visualizes a research-supported implementation of RDM and helps researchers evaluate their data management strategies through maturity level assessment. For this approach, activities are assigned to different maturity levels based on a maturity level characteristic providing a differentiated view of the implementation of RDM. An example from an ongoing project shows the application and support of the developed maturity-based process model. The work emphasizes the importance of standardized and quality-assured data management for the success of research projects and their contribution to the scientific community}}, author = {{Wawer, Max Leo and Müller, Laura and Khaled, Jaouhar Ben and Stauß, Timo and Wurst, Johanna and Mozgova, Iryna and Lachmayer, Roland}}, issn = {{2732-527X}}, journal = {{Proceedings of the Design Society}}, pages = {{169--178}}, publisher = {{Cambridge University Press (CUP)}}, title = {{{A maturity based data management integration in engineering research projects}}}, doi = {{10.1017/pds.2025.10031}}, volume = {{5}}, year = {{2025}}, } @inproceedings{62728, author = {{Müller, Laura and Hinterthaner, Marc and Ortlieb, Eduard and Mohnfeld, Norman and Schultz, Andreas Maximilian and Uhe, Johanna and Koepler, Oliver and Mozgova, Iryna}}, booktitle = {{IFIP Advances in Information and Communication Technology}}, isbn = {{9783032097033}}, issn = {{1868-4238}}, pages = {{140--150}}, publisher = {{Springer Nature Switzerland}}, title = {{{Getting Things Done: How to Make Simulation Data FAIR and Ready to Reuse}}}, doi = {{10.1007/978-3-032-09704-0_14}}, year = {{2025}}, } @misc{63716, author = {{Schultz, Andreas Maximilian and Mozgova, Iryna and Altun, Osman and Karras, Oliver and Koepler, Oliver and Müller, Laura and Nuenberger, Florian and Röwenstrunk, Daniel and Wawer, Max Leo}}, publisher = {{LibreCat University}}, title = {{{Strukturierte FDM-Plattformen: Aktuelle Lösungen und Herausforderungen in Informationsinfrastrukturprojekten}}}, doi = {{10.5281/ZENODO.17670597}}, year = {{2025}}, } @inbook{64565, author = {{Yang, Philip}}, booktitle = {{The Elgar Companion to Human Resource Management Beyond the Sustainable Development Goals}}, editor = {{Ina, Aust and Cooke, Fang Lee and Semeijn, Judith}}, isbn = {{9781035308729}}, publisher = {{Edward Elgar Publishing}}, title = {{{Quantitative research on SDGs and HRM}}}, doi = {{10.4337/9781035308729.00038}}, year = {{2025}}, } @article{64567, author = {{Ehmann, Stefanie and Kampkötter, Patrick and Maier, Patrick and Yang, Philip}}, issn = {{2195-8262}}, journal = {{Controlling & Management Review}}, number = {{5}}, pages = {{40--45}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Wie Performance Management das Engagement steigern kann}}}, doi = {{10.1007/s12176-025-1506-4}}, volume = {{69}}, year = {{2025}}, } @misc{63746, author = {{Binder, Karin and Vogel, Markus}}, publisher = {{LibreCat University}}, title = {{{Data Literacy im Wissenschaftsjournalismus – Facetten journalistischer Datenkompetenz und Fortbildungsbausteine zu deren Schulung}}}, doi = {{10.18716/OJS/MD/2025.2300}}, year = {{2025}}, } @misc{63747, author = {{Rößner, Michael and Binder, Karin and Ufer, Stefan}}, publisher = {{LibreCat University}}, title = {{{Simulationsbasiert Signifikanztests verstehen}}}, doi = {{10.18716/OJS/MD/2025.2296}}, year = {{2025}}, } @article{64582, author = {{Brennecken, Dominik}}, issn = {{0019-3577}}, journal = {{Indagationes Mathematicae}}, number = {{6}}, pages = {{1717--1744}}, publisher = {{Elsevier BV}}, title = {{{Boundedness of the Cherednik kernel and its limit transition from type BC to type A}}}, doi = {{10.1016/j.indag.2025.04.004}}, volume = {{36}}, year = {{2025}}, } @inproceedings{60623, author = {{Hermelingmeier, Lucas and Teutenberg, Dominik and Meschut, Gerson}}, location = {{Porto, Portugal}}, title = {{{Application of distributed fiber optic sensing for defect detection in adhesive bonds}}}, year = {{2025}}, }