@unpublished{63393,
  abstract     = {{We study the evolution of zeros of high polynomial powers under the heat flow. For any fixed polynomial $P(z)$, we prove that the empirical zero distribution of its heat-evolved $n$-th power converges to a distribution on the complex plane as $n$ tends to infinity. We describe this limit distribution $μ_t$ as a function of the time parameter $t$ of the heat evolution: For small time, zeros start to spread out in approximately semicircular distributions, then intricate curves start to form and merge, until for large time, the zero distribution approaches a widespread semicircle law through the initial center of mass. The Stieltjes transform of the limit distribution $μ_t$ satisfies a self-consistent equation and a Burgers' equation. The present paper deals with general complex-rooted polynomials for which, in contrast to the real-rooted case, no free-probabilistic representation for $μ_t$ is available.}},
  author       = {{Höfert, Antonia and Jalowy, Jonas and Kabluchko, Zakhar}},
  booktitle    = {{arXiv:2512.17808}},
  title        = {{{Zeros of polynomial powers under the heat flow}}},
  year         = {{2025}},
}

@unpublished{63403,
  abstract     = {{Stateful signatures like the NIST standardized signature schemes LMS and XMSS provide an efficient and mature realization of post-quantum secure signature schemes. They are recommended for long-term use cases like e.g. firmware signing. However, stateful signature schemes require to properly manage a so-called state. In stateful signature schemes like LMS and XMSS, signing keys consist of a set of keys of a one-time signature scheme and it has to be guaranteed that each one-time key is used only once. This is done by updating a state in each signature computation, basically recording which one-time keys have already been used. While this is straightforward in centralized systems, in distributed systems like secure enclaves consisting of e.g. multiple hardware security modules (HSMs) with limited communication keeping a distributed state that at any point in time is consistent among all parties involved presents a challenge. This challenge is not addressed by the current standardization processes. 
In this paper we present a security model for the distributed key management of post-quantum secure stateful signatures like XMSS and LMS. We also present a simple, efficient, and easy to implement protocol proven secure in this security model, i.e. the protocol guarantees at any point in time a consistent state among the parties in a distributed system, like a distributed security enclave. The security model is defined in the universal composabilty (UC) framework by Ran Canetti by providing an ideal functionality for the distributed key management for stateful signatures. Hence our protocol remains secure even if arbitrarily composed with other instances of the same or other protocols, a necessity for the security of distributed key management protocols. Our main application are security enclaves consisting of HSMs, but the model and the protocol can easily be adapted to other scenarios of distributed key management of stateful signature schemes.}},
  author       = {{Blömer, Johannes and Bröcher, Henrik and Krummel, Volker and Porzenheim, Laurens Alexander}},
  keywords     = {{distributed state, hash-based signature, stateful hash-based signature, universal composability, secure enclave}},
  pages        = {{22}},
  title        = {{{Secure Distributed State Management for Stateful Signatures with a Practical and Universally Composable Protocol}}},
  year         = {{2025}},
}

@inproceedings{63434,
  author       = {{Hoffmann, Max}},
  booktitle    = {{Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}},
  editor       = {{Bosch, Marianna and Bolondi, Giorgio and Carreira, Susana and Michael, Gaidoschik and Camilla, Spagnolo}},
  keywords     = {{hoffmann, reviewed, proceedings}},
  title        = {{{Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry}}},
  year         = {{2025}},
}

@article{63433,
  author       = {{Hoffmann, Max}},
  journal      = {{mathematik lehren}},
  number       = {{253}},
  pages        = {{39--44}},
  title        = {{{Digitale Perspektiven auf das Heron-Verfahren}}},
  doi          = {{https://doi.org/10.5555/ml-253-2025_07}},
  year         = {{2025}},
}

@article{62000,
  author       = {{Claes, Leander and Koch, Kevin and Friesen, Olga and Meihost, Lars}},
  issn         = {{2681-4617}},
  journal      = {{Acta Acustica}},
  number       = {{65}},
  publisher    = {{EDP Sciences}},
  title        = {{{Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters}}},
  doi          = {{10.1051/aacus/2025044}},
  volume       = {{9}},
  year         = {{2025}},
}

@article{54837,
  author       = {{Claes, Leander and Lankeit, Johannes and Winkler, Michael}},
  issn         = {{1793-6314}},
  journal      = {{Mathematical Models and Methods in Applied Sciences}},
  number       = {{11}},
  pages        = {{2465--2512}},
  publisher    = {{World Scientific Pub Co Pte Ltd}},
  title        = {{{A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}}},
  doi          = {{10.1142/s0218202525500447}},
  volume       = {{35}},
  year         = {{2025}},
}

@inproceedings{62299,
  author       = {{Friesen, Olga and Scheidemann, Claus and Claes, Leander and Hemsel, Tobias and Henning, Bernd}},
  booktitle    = {{2025 International Congress on Ultrasonics}},
  pages        = {{138–141}},
  publisher    = {{AMA Service GmbH}},
  title        = {{{Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer}}},
  doi          = {{10.5162/ultrasonic2025/a18-a4}},
  year         = {{2025}},
}

@inproceedings{62298,
  author       = {{Kuess, Raphael and Friesen, Olga and Henning, Bernd and Walther, Andrea}},
  booktitle    = {{2025 International Congress on Ultrasonics}},
  pages        = {{134–137}},
  publisher    = {{AMA Service GmbH}},
  title        = {{{Identification of temperature-dependent material parameter functions in piezoelectricity}}},
  doi          = {{10.5162/ultrasonic2025/a18-a3}},
  year         = {{2025}},
}

@inproceedings{59689,
  author       = {{Friesen, Olga and Meihost, Lars and Koch, Kevin and Claes, Leander and Henning, Bernd}},
  location     = {{Copenhagen}},
  title        = {{{Estimation of piezoelectric material parameters under varying electric field conditions}}},
  doi          = {{10.71568/DASDAGA2025.078}},
  year         = {{2025}},
}

@inproceedings{62174,
  author       = {{Meise, Adrian Tobias and Cord-Landwehr, Tobias and Haeb-Umbach, Reinhold}},
  booktitle    = {{ ITG Conference on Speech Communication}},
  isbn         = {{978-3-8007-6617-8}},
  location     = {{Berlin}},
  title        = {{{On the Application of Diffusion Models for Simultaneous Denoising and Dereverberation}}},
  year         = {{2025}},
}

@article{63498,
  author       = {{Kirchgässner, Wilhelm and Förster, Nikolas and Piepenbrock, Till and Schweins, Oliver and Wallscheid, Oliver}},
  journal      = {{IEEE Transactions on Power Electronics}},
  keywords     = {{Mathematical models, Estimation, Data models, Convolutional neural networks, Accuracy, Magnetic hysteresis, Magnetic cores, Temperature measurement, Magnetic domains, Temperature distribution, Convolutional neural network (CNN), machine learning (ML), magnetics}},
  number       = {{2}},
  pages        = {{3326--3335}},
  title        = {{{HARDCORE: H-Field and Power Loss Estimation for Arbitrary Waveforms With Residual, Dilated Convolutional Neural Networks in Ferrite Cores}}},
  doi          = {{10.1109/TPEL.2024.3488174}},
  volume       = {{40}},
  year         = {{2025}},
}

@inproceedings{63496,
  author       = {{Foerster, Nikolas and Urbaneck, Daniel and Schenke, Maximilian and Ebers, Anastacia and Schoenlau, Nicolas and Wallscheid, Oliver and Schafmeister, Frank}},
  booktitle    = {{PCIM Conference 2025; International Exhibition and Conference for Power Electronics, Intelligent Motion, Renewable Energy and Energy Management}},
  pages        = {{2881--2890}},
  title        = {{{Improving the Usability of Calorimetric Measuring Chambers for Reliable Thermal Measurements}}},
  doi          = {{10.30420/566541386}},
  year         = {{2025}},
}

@inbook{63507,
  author       = {{Pandit, Gaurav and Röder, Michael and Ngonga Ngomo, Axel-Cyrille}},
  booktitle    = {{Lecture Notes in Computer Science}},
  isbn         = {{9783031945748}},
  issn         = {{0302-9743}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Evaluating Approximate Nearest Neighbour Search Systems on Knowledge Graph Embeddings}}},
  doi          = {{10.1007/978-3-031-94575-5_4}},
  year         = {{2025}},
}

@unpublished{63510,
  abstract     = {{It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach. In this paper we extend the first order necessary optimality conditions obtained previously to second order optimality conditions. This results in a complete characterization of the optimality conditions in a new Lagrangian form.}},
  author       = {{Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Sina Ober-Blöbaum, Sina Ober-Blöbaum and Almagro, Rodrigo T. Sato Martín de}},
  booktitle    = {{arXiv:2507.06024}},
  title        = {{{Second order optimality conditions in a new Lagrangian formulation for optimal control problems}}},
  year         = {{2025}},
}

@article{59797,
  author       = {{Konopik, Michael and T. Sato Martín de Almagro, Rodrigo and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Leyendecker, Sigrid}},
  journal      = {{Journal of Nonlinear Science}},
  number       = {{11}},
  title        = {{{Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term}}},
  doi          = {{10.1007/s00332-025-10229-5}},
  volume       = {{36}},
  year         = {{2025}},
}

@article{59799,
  author       = {{Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and T. Sato Martín de Almagro, Rodrigo}},
  journal      = {{Nonlinearity}},
  number       = {{11}},
  title        = {{{A new Lagrangian approach to optimal control of second-order systems}}},
  doi          = {{10.1088/1361-6544/ae1d08}},
  volume       = {{38}},
  year         = {{2025}},
}

@article{53414,
  abstract     = {{By constructing a non-empty domain of discontinuity in a suitable homogeneous
space, we prove that every torsion-free projective Anosov subgroup is the
monodromy group of a locally homogeneous contact Axiom A dynamical system with
a unique basic hyperbolic set on which the flow is conjugate to the refraction
flow of Sambarino. Under the assumption of irreducibility, we utilize the work
of Stoyanov to establish spectral estimates for the associated complex Ruelle
transfer operators, and by way of corollary: exponential mixing, exponentially
decaying error term in the prime orbit theorem, and a spectral gap for the
Ruelle zeta function. With no irreducibility assumption, results of
Dyatlov-Guillarmou imply the global meromorphic continuation of zeta functions
with smooth weights, as well as the existence of a discrete spectrum of
Ruelle-Pollicott resonances and (co)-resonant states. We apply our results to
space-like geodesic flows for the convex cocompact pseudo-Riemannian manifolds
of Danciger-Gu\'eritaud-Kassel, and the Benoist-Hilbert geodesic flow for
strictly convex real projective manifolds.}},
  author       = {{Delarue, Benjamin and Monclair, Daniel and Sanders, Andrew}},
  journal      = {{Geometric and Functional Analysis (GAFA)}},
  pages        = {{673–735}},
  title        = {{{Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing}}},
  doi          = {{10.1007/s00039-025-00712-2}},
  volume       = {{35}},
  year         = {{2025}},
}

@article{53412,
  abstract     = {{Let $M$ be a symplectic manifold carrying a Hamiltonian $S^1$-action with
momentum map $J:M \rightarrow \mathbb{R}$ and consider the corresponding
symplectic quotient $\mathcal{M}_0:=J^{-1}(0)/S^1$. We extend Sjamaar's complex
of differential forms on $\mathcal{M}_0$, whose cohomology is isomorphic to the
singular cohomology $H(\mathcal{M}_0;\mathbb{R})$ of $\mathcal{M}_0$ with real
coefficients, to a complex of differential forms on $\mathcal{M}_0$ associated
with a partial desingularization $\widetilde{\mathcal{M}}_0$, which we call
resolution differential forms. The cohomology of that complex turns out to be
isomorphic to the de Rham cohomology $H(\widetilde{ \mathcal{M}}_0)$ of
$\widetilde{\mathcal{M}}_0$. Based on this, we derive a long exact sequence
involving both $H(\mathcal{M}_0;\mathbb{R})$ and $H(\widetilde{
\mathcal{M}}_0)$ and give conditions for its splitting. We then define a Kirwan
map $\mathcal{K}:H_{S^1}(M) \rightarrow H(\widetilde{\mathcal{M}}_0)$ from the
equivariant cohomology $H_{S^1}(M)$ of $M$ to $H(\widetilde{\mathcal{M}}_0)$
and show that its image contains the image of $H(\mathcal{M}_0;\mathbb{R})$ in
$H(\widetilde{\mathcal{M}}_0)$ under the natural inclusion. Combining both
results in the case that all fixed point components of $M$ have vanishing odd
cohomology we obtain a surjection $\check \kappa:H^\textrm{ev}_{S^1}(M)
\rightarrow H^\textrm{ev}(\mathcal{M}_0;\mathbb{R})$ in even degrees, while
already simple examples show that a similar surjection in odd degrees does not
exist in general. As an interesting class of examples we study abelian polygon
spaces.}},
  author       = {{Delarue, Benjamin and Ramacher, Pablo and Schmitt, Maximilian}},
  journal      = {{Transformation Groups}},
  title        = {{{Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity}}},
  doi          = {{10.1007/s00031-025-09924-0}},
  year         = {{2025}},
}

@inbook{63543,
  abstract     = {{<jats:title>Abstract</jats:title>
          <jats:p>Current megatrends are influencing industrial production and leading to ever shorter innovation cycles. The resulting fast pace of production requirements requires an accelerated development of production systems and an associated increase in efficiency in factory planning. Due to its knowledge-intensive activities, rough factory planning promises great potential to be supported in its activities by innovative technologies such as artificial intelligence. However, industrial companies face the challenge to recognize the potential of artificial intelligence (AI) in rough planning and to evaluate possible applications in their business context. As a result, a systematic approach for analyzing AI potential in rough factory planning was developed as part of this work. The system includes a procedural model and several artefacts used in it, which support the identification and evaluation of AI potential in organizations. This approach not only streamlines the planning process but also aligns with sustainable manufacturing principles by enhancing resource efficiency, promoting intelligent system design, and fostering innovation in product development and manufacturing processes.</jats:p>}},
  author       = {{Kürpick, Dominik and Disselkamp, Jan-Philipp and Lick, Jonas and Hovemann, Aschot and Dumitrescu, Roman}},
  booktitle    = {{Lecture Notes in Mechanical Engineering}},
  isbn         = {{9783031938900}},
  issn         = {{2195-4356}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Systematic AI Potential Analysis for Sustainable Rough Factory Planning}}},
  doi          = {{10.1007/978-3-031-93891-7_84}},
  year         = {{2025}},
}

@inproceedings{63542,
  abstract     = {{<jats:title>ABSTRACT:</jats:title><jats:p>This paper presents the MBSE-Graph-RAG framework to address key challenges in Model-Based Systems Engineering (MBSE). Traditional MBSE tools suffer from usability barriers, limited accessibility, and integration challenges. By combining knowledge graphs with Retrieval-Augmented Generation (RAG), the proposed framework enables AI-Augmented engineering through natural language interactions and automated system architecture generation. A systematic literature review establishes a solid research foundation, identifying gaps in AI-assisted MBSE. Key contributions include a structured MBSE-Graph interface, improved usability via Large Language Models (LLMs), and automated graph construction aligned with SysML. A proof-of-concept demonstrates the potential of this approach to enhance MBSE by reducing complexity, improving data accessibility, and supporting engineering collaboration.</jats:p>}},
  author       = {{Hanke, Fabian and Bita, Isaac Mpidi and von Heißen, Oliver  and Weller, Julian and Hovemann, Aschot and Dumitrescu, Roman}},
  booktitle    = {{Proceedings of the Design Society}},
  issn         = {{2732-527X}},
  pages        = {{439--448}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{AI-augmented systems engineering: conceptual application of retrieval-augmented generation for model-based systems engineering graph}}},
  doi          = {{10.1017/pds.2025.10058}},
  volume       = {{5}},
  year         = {{2025}},
}