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Geodesic interpretation of the global quasi-geostrophic equations. <i>Calculus of Variations and Partial Differential Equations </i>, <i>65</i>. <a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>"},"intvolume":"        65","year":"2026","user_id":"89268","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"63588","language":[{"iso":"eng"}],"type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations ","status":"public"},{"publication":"Annali di Matematica Pura ed Applicata (1923 -)","type":"journal_article","status":"public","_id":"63621","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"23686","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0373-3114","1618-1891"]},"publication_status":"published","year":"2026","citation":{"chicago":"Black, Tobias. “Refining Hölder Regularity Theory in Degenerate Drift-Diffusion Equations.” <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>, 2026. <a href=\"https://doi.org/10.1007/s10231-025-01642-4\">https://doi.org/10.1007/s10231-025-01642-4</a>.","ieee":"T. 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Vondrová, &#38; Charles University, Faculty of Education and ERME (Eds.), <i>Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice</i> (pp. 122–129).","bibtex":"@inproceedings{Wiebe_Häsel-Weide_2026, place={Prag}, title={ Initiating and establishing mathematical practices of determining and transforming numbers as a foundational skill in fostering mathematics teaching}, booktitle={Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice}, author={Wiebe, Vivien and Häsel-Weide, Uta}, editor={Mosvold, R. and Fauskanger, J. and Ferretti, F. and Vondrová, N. and Charles University, Faculty of Education and ERME}, year={2026}, pages={122–129} }","short":"V. Wiebe, U. Häsel-Weide, in: R. Mosvold, J. Fauskanger, F. Ferretti, N. Vondrová, Charles University, Faculty of Education and ERME (Eds.), Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice, Prag, 2026, pp. 122–129.","mla":"Wiebe, Vivien, and Uta Häsel-Weide. “ Initiating and Establishing Mathematical Practices of Determining and Transforming Numbers as a Foundational Skill in Fostering Mathematics Teaching.” <i>Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice</i>, edited by R. Mosvold et al., 2026, pp. 122–29.","ieee":"V. Wiebe and U. Häsel-Weide, “ Initiating and establishing mathematical practices of determining and transforming numbers as a foundational skill in fostering mathematics teaching,” in <i>Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice</i>, Prag, 2026, pp. 122–129.","chicago":"Wiebe, Vivien, and Uta Häsel-Weide. “ Initiating and Establishing Mathematical Practices of Determining and Transforming Numbers as a Foundational Skill in Fostering Mathematics Teaching.” In <i>Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice</i>, edited by R. Mosvold, J. Fauskanger, F. Ferretti, N. Vondrová, and Charles University, Faculty of Education and ERME, 122–29. Prag, 2026.","ama":"Wiebe V, Häsel-Weide U.  Initiating and establishing mathematical practices of determining and transforming numbers as a foundational skill in fostering mathematics teaching. In: Mosvold R, Fauskanger J, Ferretti F, Vondrová N, Charles University, Faculty of Education and ERME, eds. <i>Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice</i>. ; 2026:122-129."},"corporate_editor":["Charles University, Faculty of Education and ERME"],"page":"122-129","_id":"64211","user_id":"44184","department":[{"_id":"543"}],"language":[{"iso":"eng"}],"type":"conference","publication":"Proceedings of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics Teaching to Practice","editor":[{"last_name":"Mosvold","full_name":"Mosvold, R.","first_name":"R."},{"full_name":"Fauskanger, J.","last_name":"Fauskanger","first_name":"J."},{"first_name":"F.","full_name":"Ferretti, F.","last_name":"Ferretti"},{"full_name":"Vondrová, N.","last_name":"Vondrová","first_name":"N."}],"status":"public"},{"doi":"10.1016/j.jfa.2026.111382","title":"Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations","date_created":"2026-02-20T09:38:34Z","author":[{"full_name":"Niestijl, Milan","last_name":"Niestijl","first_name":"Milan"}],"volume":290,"date_updated":"2026-02-20T09:41:45Z","publisher":"Elsevier BV","citation":{"mla":"Niestijl, Milan. “Holomorphic Induction beyond the Norm-Continuous Setting, with Applications to Positive Energy Representations.” <i>Journal of Functional Analysis</i>, vol. 290, no. 9, 111382, Elsevier BV, 2026, doi:<a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>.","bibtex":"@article{Niestijl_2026, title={Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations}, volume={290}, DOI={<a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>}, number={9111382}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Niestijl, Milan}, year={2026} }","short":"M. Niestijl, Journal of Functional Analysis 290 (2026).","apa":"Niestijl, M. (2026). Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations. <i>Journal of Functional Analysis</i>, <i>290</i>(9), Article 111382. <a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">https://doi.org/10.1016/j.jfa.2026.111382</a>","chicago":"Niestijl, Milan. “Holomorphic Induction beyond the Norm-Continuous Setting, with Applications to Positive Energy Representations.” <i>Journal of Functional Analysis</i> 290, no. 9 (2026). <a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">https://doi.org/10.1016/j.jfa.2026.111382</a>.","ieee":"M. Niestijl, “Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations,” <i>Journal of Functional Analysis</i>, vol. 290, no. 9, Art. no. 111382, 2026, doi: <a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>.","ama":"Niestijl M. Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations. <i>Journal of Functional Analysis</i>. 2026;290(9). doi:<a href=\"https://doi.org/10.1016/j.jfa.2026.111382\">10.1016/j.jfa.2026.111382</a>"},"intvolume":"       290","year":"2026","issue":"9","publication_status":"published","publication_identifier":{"issn":["0022-1236"]},"language":[{"iso":"eng"}],"article_number":"111382","user_id":"104095","department":[{"_id":"93"}],"_id":"64290","status":"public","type":"journal_article","publication":"Journal of Functional Analysis"},{"publication_status":"published","publication_identifier":{"issn":["0025-584X","1522-2616"]},"issue":"2","year":"2026","citation":{"ama":"Olbrich M, Palmirotta G. Solvability of invariant systems of differential equations on H2$\\mathbb {H}^2$ and beyond. <i>Mathematische Nachrichten</i>. 2026;299(2):456-479. doi:<a href=\"https://doi.org/10.1002/mana.70100\">10.1002/mana.70100</a>","chicago":"Olbrich, Martin, and Guendalina Palmirotta. “Solvability of Invariant Systems of Differential Equations on H2$\\mathbb {H}^2$ and Beyond.” <i>Mathematische Nachrichten</i> 299, no. 2 (2026): 456–79. <a href=\"https://doi.org/10.1002/mana.70100\">https://doi.org/10.1002/mana.70100</a>.","ieee":"M. Olbrich and G. Palmirotta, “Solvability of invariant systems of differential equations on H2$\\mathbb {H}^2$ and beyond,” <i>Mathematische Nachrichten</i>, vol. 299, no. 2, pp. 456–479, 2026, doi: <a href=\"https://doi.org/10.1002/mana.70100\">10.1002/mana.70100</a>.","apa":"Olbrich, M., &#38; Palmirotta, G. (2026). Solvability of invariant systems of differential equations on H2$\\mathbb {H}^2$ and beyond. <i>Mathematische Nachrichten</i>, <i>299</i>(2), 456–479. <a href=\"https://doi.org/10.1002/mana.70100\">https://doi.org/10.1002/mana.70100</a>","mla":"Olbrich, Martin, and Guendalina Palmirotta. “Solvability of Invariant Systems of Differential Equations on H2$\\mathbb {H}^2$ and Beyond.” <i>Mathematische Nachrichten</i>, vol. 299, no. 2, Wiley, 2026, pp. 456–79, doi:<a href=\"https://doi.org/10.1002/mana.70100\">10.1002/mana.70100</a>.","bibtex":"@article{Olbrich_Palmirotta_2026, title={Solvability of invariant systems of differential equations on H2$\\mathbb {H}^2$ and beyond}, volume={299}, DOI={<a href=\"https://doi.org/10.1002/mana.70100\">10.1002/mana.70100</a>}, number={2}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Olbrich, Martin and Palmirotta, Guendalina}, year={2026}, pages={456–479} }","short":"M. Olbrich, G. Palmirotta, Mathematische Nachrichten 299 (2026) 456–479."},"intvolume":"       299","page":"456-479","date_updated":"2026-02-20T20:01:56Z","publisher":"Wiley","date_created":"2026-02-20T19:56:33Z","author":[{"first_name":"Martin","last_name":"Olbrich","full_name":"Olbrich, Martin"},{"first_name":"Guendalina","last_name":"Palmirotta","full_name":"Palmirotta, Guendalina","id":"109467"}],"volume":299,"title":"Solvability of invariant systems of differential equations on H2$\\mathbb {H}^2$ and beyond","doi":"10.1002/mana.70100","type":"journal_article","publication":"Mathematische Nachrichten","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type  can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem. We get complete solvability for the hyperbolic plane  and partial results for products  and the hyperbolic 3‐space .</jats:p>","lang":"eng"}],"status":"public","_id":"64569","user_id":"109467","department":[{"_id":"548"}],"language":[{"iso":"eng"}]},{"title":"Infinite-dimensional Lie groups","date_created":"2026-02-26T06:56:00Z","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"full_name":"Neeb, Karl-Hermann","last_name":"Neeb","first_name":"Karl-Hermann"}],"date_updated":"2026-02-26T06:58:23Z","page":"1056","citation":{"ama":"Glöckner H, Neeb K-H. Infinite-dimensional Lie groups. Published online 2026.","ieee":"H. Glöckner and K.-H. Neeb, “Infinite-dimensional Lie groups.” 2026.","chicago":"Glöckner, Helge, and Karl-Hermann Neeb. “Infinite-Dimensional Lie Groups,” 2026.","apa":"Glöckner, H., &#38; Neeb, K.-H. (2026). <i>Infinite-dimensional Lie groups</i>.","mla":"Glöckner, Helge, and Karl-Hermann Neeb. <i>Infinite-Dimensional Lie Groups</i>. 2026.","short":"H. Glöckner, K.-H. Neeb, (2026).","bibtex":"@article{Glöckner_Neeb_2026, title={Infinite-dimensional Lie groups}, author={Glöckner, Helge and Neeb, Karl-Hermann}, year={2026} }"},"year":"2026","language":[{"iso":"eng"}],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","external_id":{"arxiv":["arXiv:2602.12362"]},"_id":"64629","status":"public","type":"preprint"},{"year":"2026","citation":{"chicago":"Jalowy, Jonas, Isabel Lammers, and Matthias Löwe. “The Infinite Block Spin Ising Model.” <i>ArXiv:2603.01994</i>, 2026.","ieee":"J. Jalowy, I. Lammers, and M. Löwe, “The infinite block spin Ising model,” <i>arXiv:2603.01994</i>. 2026.","ama":"Jalowy J, Lammers I, Löwe M. The infinite block spin Ising model. <i>arXiv:260301994</i>. Published online 2026.","apa":"Jalowy, J., Lammers, I., &#38; Löwe, M. (2026). The infinite block spin Ising model. In <i>arXiv:2603.01994</i>.","short":"J. Jalowy, I. Lammers, M. Löwe, ArXiv:2603.01994 (2026).","bibtex":"@article{Jalowy_Lammers_Löwe_2026, title={The infinite block spin Ising model}, journal={arXiv:2603.01994}, author={Jalowy, Jonas and Lammers, Isabel and Löwe, Matthias}, year={2026} }","mla":"Jalowy, Jonas, et al. “The Infinite Block Spin Ising Model.” <i>ArXiv:2603.01994</i>, 2026."},"title":"The infinite block spin Ising model","date_updated":"2026-03-03T08:49:33Z","date_created":"2026-03-03T08:49:16Z","author":[{"full_name":"Jalowy, Jonas","id":"113768","orcid":"0000-0001-9624-2685","last_name":"Jalowy","first_name":"Jonas"},{"first_name":"Isabel","last_name":"Lammers","full_name":"Lammers, Isabel"},{"full_name":"Löwe, Matthias","last_name":"Löwe","first_name":"Matthias"}],"abstract":[{"lang":"eng","text":"We study a block mean-field Ising model with $N$ spins split into $s_N$ blocks, with Curie-Weiss interaction within blocks and nearest-neighbor coupling between blocks. While previous models deal with the block magnetization for a fixed number of blocks, we study the the simultaneous limit $N\\to\\infty$ and $s_N\\to\\infty$. The model interpolates between Curie-Weiss model for $s_N=1$, multi-species mean field for fixed $s_N=s$, and the 1D Ising model for each spin in its own block at $s_N=N$.\r\n  Under mild growth conditions on $s_N$, we prove a law of large numbers and a multivariate CLT with covariance given by the lattice Green's function. For instance, the high temperature CLT essentially covers the optimal range up to $s_N=o(N/(\\log N)^c)$ and the low temperature regime is new even for fixed number of blocks $s > 2$. In addition to the standard competition between entropy and energy, a new obstacle in the proofs is a curse of dimensionality as $s_N \\to \\infty$."}],"status":"public","publication":"arXiv:2603.01994","type":"preprint","language":[{"iso":"eng"}],"external_id":{"arxiv":["2603.01994"]},"_id":"64816","department":[{"_id":"94"}],"user_id":"113768"},{"type":"preprint","status":"public","_id":"64865","user_id":"97359","department":[{"_id":"101"},{"_id":"841"}],"file_date_updated":"2026-03-09T08:26:04Z","has_accepted_license":"1","related_material":{"link":[{"relation":"research_paper","url":"https://s-vdg.github.io/publication/design-of-hierarchical-excitable-networks/design-of-hierarchical-excitable-networks.pdf"}]},"citation":{"ama":"von der Gracht S, Lohse A. Design of Hierarchical Excitable Networks. <i>arXiv:260306157</i>. Published online 2026.","chicago":"Gracht, Sören von der, and Alexander Lohse. “Design of Hierarchical Excitable Networks.” <i>ArXiv:2603.06157</i>, 2026.","ieee":"S. von der Gracht and A. Lohse, “Design of Hierarchical Excitable Networks,” <i>arXiv:2603.06157</i>. 2026.","apa":"von der Gracht, S., &#38; Lohse, A. (2026). Design of Hierarchical Excitable Networks. In <i>arXiv:2603.06157</i>.","short":"S. von der Gracht, A. Lohse, ArXiv:2603.06157 (2026).","bibtex":"@article{von der Gracht_Lohse_2026, title={Design of Hierarchical Excitable Networks}, journal={arXiv:2603.06157}, author={von der Gracht, Sören and Lohse, Alexander}, year={2026} }","mla":"von der Gracht, Sören, and Alexander Lohse. “Design of Hierarchical Excitable Networks.” <i>ArXiv:2603.06157</i>, 2026."},"date_updated":"2026-03-09T08:26:49Z","author":[{"first_name":"Sören","full_name":"von der Gracht, Sören","id":"97359","last_name":"von der Gracht","orcid":"0000-0002-8054-2058"},{"first_name":"Alexander","full_name":"Lohse, Alexander","last_name":"Lohse"}],"publication":"arXiv:2603.06157","abstract":[{"text":"We provide a method to systematically construct vector fields for which the dynamics display transitions corresponding to a desired hierarchical connection structure. This structure is given as a finite set of directed graphs $\\mathbf{G}_1,\\dotsc,\\mathbf{G}_N$ (the lower level), together with another digraph $\\mathbfΓ$ on $N$ vertices (the top level). The dynamic realizations of $\\mathbf{G}_1,\\dotsc,\\mathbf{G}_N$ are heteroclinic networks and they can be thought of as individual connection patterns on a given set of states. Edges in $\\mathbfΓ$ correspond to transitions between these different patterns. In our construction, the connections given through $\\mathbfΓ$ are not heteroclinic, but excitable with zero threshold. This describes a dynamical transition between two invariant sets where every $δ$-neighborhood of the first set contains an initial condition with $ω$-limit in the second set. Thus, we prove a theorem that allows the systematic creation of hierarchical networks that are excitable on the top level, and heteroclinic on the lower level. Our results modify and extend the simplex realization method by Ashwin & Postlethwaite.","lang":"eng"}],"file":[{"content_type":"application/pdf","success":1,"relation":"main_file","date_updated":"2026-03-09T08:26:04Z","creator":"svdg","date_created":"2026-03-09T08:26:04Z","file_size":5179491,"access_level":"closed","file_name":"design-of-hierarchical-excitable-networks.pdf","file_id":"64866"}],"external_id":{"arxiv":["2603.06157"]},"ddc":["510"],"language":[{"iso":"eng"}],"year":"2026","date_created":"2026-03-09T08:22:58Z","title":"Design of Hierarchical Excitable Networks"},{"language":[{"iso":"eng"}],"project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"_id":"63435","user_id":"11829","department":[{"_id":"49"},{"_id":"90"}],"status":"public","type":"journal_article","publication":"Nonlinear Analysis: Real World Applications","title":"Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis","doi":"10.1016/j.nonrwa.2025.104580","date_updated":"2026-01-05T07:40:49Z","publisher":"Elsevier BV","date_created":"2026-01-05T07:32:00Z","author":[{"first_name":"Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","full_name":"Claes, Leander","id":"11829"},{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":91,"year":"2026","citation":{"apa":"Claes, L., &#38; Winkler, M. (2026). Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis. <i>Nonlinear Analysis: Real World Applications</i>, <i>91</i>, 104580. <a href=\"https://doi.org/10.1016/j.nonrwa.2025.104580\">https://doi.org/10.1016/j.nonrwa.2025.104580</a>","short":"L. Claes, M. Winkler, Nonlinear Analysis: Real World Applications 91 (2026) 104580.","mla":"Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” <i>Nonlinear Analysis: Real World Applications</i>, vol. 91, Elsevier BV, 2026, p. 104580, doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2025.104580\">10.1016/j.nonrwa.2025.104580</a>.","bibtex":"@article{Claes_Winkler_2026, title={Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis}, volume={91}, DOI={<a href=\"https://doi.org/10.1016/j.nonrwa.2025.104580\">10.1016/j.nonrwa.2025.104580</a>}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Claes, Leander and Winkler, Michael}, year={2026}, pages={104580} }","ieee":"L. Claes and M. Winkler, “Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis,” <i>Nonlinear Analysis: Real World Applications</i>, vol. 91, p. 104580, 2026, doi: <a href=\"https://doi.org/10.1016/j.nonrwa.2025.104580\">10.1016/j.nonrwa.2025.104580</a>.","chicago":"Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” <i>Nonlinear Analysis: Real World Applications</i> 91 (2026): 104580. <a href=\"https://doi.org/10.1016/j.nonrwa.2025.104580\">https://doi.org/10.1016/j.nonrwa.2025.104580</a>.","ama":"Claes L, Winkler M. Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis. <i>Nonlinear Analysis: Real World Applications</i>. 2026;91:104580. doi:<a href=\"https://doi.org/10.1016/j.nonrwa.2025.104580\">10.1016/j.nonrwa.2025.104580</a>"},"intvolume":"        91","page":"104580","publication_identifier":{"issn":["1468-1218"]}},{"language":[{"iso":"eng"}],"_id":"63557","department":[{"_id":"636"}],"user_id":"87909","abstract":[{"text":"We discretise a recently proposed new Lagrangian approach to optimal control problems with dynamics described by force-controlled Euler-Lagrange equations (Konopik et al., in Nonlinearity 38:11, 2025). The resulting discretisations are in the form of discrete Lagrangians. We show that the discrete necessary conditions for optimality obtained provide variational integrators for the continuous problem, akin to Karush-Kuhn-Tucker (KKT) conditions for standard direct approaches. This approach paves the way for the use of variational error analysis to derive the order of convergence of the resulting numerical schemes for both state and costate variables and to apply discrete Noether’s theorem to compute conserved quantities, distinguishing itself from existing geometric approaches. We show for a family of low-order discretisations that the resulting numerical schemes are ‘doubly-symplectic’, meaning they yield forced symplectic integrators for the underlying controlled mechanical system and overall symplectic integrators in the state-adjoint space. Multi-body dynamics examples are solved numerically using the new approach. In addition, the new approach is compared to standard direct approaches in terms of computational performance and error convergence. The results highlight the advantages of the new approach, namely, better performance and convergence behaviour of state and costate variables consistent with variational error analysis and automatic preservation of certain first integrals.","lang":"eng"}],"status":"public","publication":"Multibody System Dynamics","type":"journal_article","title":"On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics","doi":"10.1007/s11044-025-10138-1","date_updated":"2026-01-12T11:35:27Z","publisher":"Springer Science and Business Media LLC","date_created":"2026-01-12T11:33:54Z","author":[{"full_name":"Konopik, Michael","last_name":"Konopik","first_name":"Michael"},{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"},{"id":"87909","full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya","first_name":"Sofya"},{"last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494","first_name":"Sina"},{"last_name":"Sato Martín de Almagro","full_name":"Sato Martín de Almagro, Rodrigo T.","first_name":"Rodrigo T."}],"year":"2026","citation":{"ama":"Konopik M, Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Sato Martín de Almagro RT. On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics. <i>Multibody System Dynamics</i>. Published online 2026. doi:<a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>","ieee":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, and R. T. Sato Martín de Almagro, “On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics,” <i>Multibody System Dynamics</i>, 2026, doi: <a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>.","chicago":"Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum, and Rodrigo T. Sato Martín de Almagro. “On the Variational Discretisation of Optimal Control Problems for Unconstrained Lagrangian Dynamics.” <i>Multibody System Dynamics</i>, 2026. <a href=\"https://doi.org/10.1007/s11044-025-10138-1\">https://doi.org/10.1007/s11044-025-10138-1</a>.","apa":"Konopik, M., Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., &#38; Sato Martín de Almagro, R. T. (2026). On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics. <i>Multibody System Dynamics</i>. <a href=\"https://doi.org/10.1007/s11044-025-10138-1\">https://doi.org/10.1007/s11044-025-10138-1</a>","short":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T. Sato Martín de Almagro, Multibody System Dynamics (2026).","mla":"Konopik, Michael, et al. “On the Variational Discretisation of Optimal Control Problems for Unconstrained Lagrangian Dynamics.” <i>Multibody System Dynamics</i>, Springer Science and Business Media LLC, 2026, doi:<a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>.","bibtex":"@article{Konopik_Leyendecker_Maslovskaya_Ober-Blöbaum_Sato Martín de Almagro_2026, title={On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics}, DOI={<a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>}, journal={Multibody System Dynamics}, publisher={Springer Science and Business Media LLC}, author={Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Sato Martín de Almagro, Rodrigo T.}, year={2026} }"},"publication_identifier":{"issn":["1384-5640","1573-272X"]},"publication_status":"published"},{"title":"Drinfeld correspondence in infinite dimensions","date_updated":"2026-03-09T23:26:46Z","date_created":"2026-03-09T23:25:29Z","author":[{"last_name":"Rahangdale","full_name":"Rahangdale, Praful","id":"103300","first_name":"Praful"}],"year":"2026","citation":{"bibtex":"@article{Rahangdale_2026, title={Drinfeld correspondence in infinite dimensions}, author={Rahangdale, Praful}, year={2026} }","short":"P. Rahangdale, (2026).","mla":"Rahangdale, Praful. <i>Drinfeld Correspondence in Infinite Dimensions</i>. 2026.","apa":"Rahangdale, P. (2026). <i>Drinfeld correspondence in infinite dimensions</i>.","ama":"Rahangdale P. Drinfeld correspondence in infinite dimensions. Published online 2026.","chicago":"Rahangdale, Praful. “Drinfeld Correspondence in Infinite Dimensions,” 2026.","ieee":"P. Rahangdale, “Drinfeld correspondence in infinite dimensions.” 2026."},"language":[{"iso":"eng"}],"_id":"64871","external_id":{"arxiv":[" arXiv:2603.04634"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","type":"preprint"},{"file":[{"content_type":"application/pdf","relation":"main_file","success":1,"creator":"svdg","date_created":"2026-03-16T08:40:04Z","date_updated":"2026-03-16T08:40:04Z","access_level":"closed","file_name":"homogeneous-coupled-cell-systems-with-high-dimensional-internal-dynamics.pdf","file_id":"64980","file_size":1951746}],"abstract":[{"text":"We investigate homogeneous coupled cell systems with high-dimensional internal dynamics. In many studies on network dynamics, the analysis is restricted to networks with one-dimensional internal dynamics. Here, we show how symmetry explains the relation between dynamical behavior of systems with one-dimensional internal dynamics and with higher dimensional internal dynamics, when the underlying network topology is the same. Fundamental networks of homogeneous coupled cell systems (B. Rink, J. Sanders. Coupled Cell Networks and Their Hidden Symmetries. SIAM J. Math. Anal. 46.2 (2014)) can be expressed in terms of monoid representations, which uniquely decompose into indecomposable subrepresentations. In the high-dimensional internal dynamics case, these subrepresentations are isomorphic to multiple copies of those one computes in the one-dimensional internal dynamics case. This has interesting implications for possible center subspaces in bifurcation analysis. We describe the effect on steady state and Hopf bifurcations in l-parameter families of network vector fields. The main results in that regard are that (1) generic one-parameter steady state bifurcations are qualitatively independent of the dimension of the internal dynamics and that, (2) in order to observe all generic l-parameter bifurcations that may occur for internal dynamics of any dimension, the internal dynamics has to be at least l-dimensional for steady state bifurcations and 2l-dimensional for Hopf bifurcations. Furthermore, we illustrate how additional structure in the network can be exploited to obtain even greater understanding of bifurcation scenarios in the high-dimensional case beyond qualitative statements about the collective dynamics. One-parameter steady state bifurcations in feedforward networks exhibit an unusual amplification in the asymptotic growth rates of individual cells, when these are one-dimensional (S. von der Gracht, E. Nijholt, B. Rink. Amplified steady state bifurcations in feedforward networks. Nonlinearity 35.4 (2022)). As another main result, we prove that (3) the same cells exhibit this amplifying effect with the same growth rates when the internal dynamics is high-dimensional.","lang":"eng"}],"publication":"Chaos, Solitons & Fractals","language":[{"iso":"eng"}],"ddc":["510"],"keyword":["Coupled cell systems","Network dynamics","Dimension reduction","Bifurcation theory","Symmetry","Monoid representation theory"],"external_id":{"arxiv":["2510.06740"]},"year":"2026","title":"Homogeneous coupled cell systems with high-dimensional internal dynamics","date_created":"2026-03-16T08:39:07Z","publisher":"Elsevier BV","status":"public","type":"journal_article","file_date_updated":"2026-03-16T08:40:04Z","article_number":"118196","article_type":"original","user_id":"97359","department":[{"_id":"101"},{"_id":"841"}],"_id":"64979","citation":{"apa":"von der Gracht, S., Nijholt, E., &#38; Rink, B. (2026). Homogeneous coupled cell systems with high-dimensional internal dynamics. <i>Chaos, Solitons &#38; Fractals</i>, <i>208</i>, Article 118196. <a href=\"https://doi.org/10.1016/j.chaos.2026.118196\">https://doi.org/10.1016/j.chaos.2026.118196</a>","bibtex":"@article{von der Gracht_Nijholt_Rink_2026, title={Homogeneous coupled cell systems with high-dimensional internal dynamics}, volume={208}, DOI={<a href=\"https://doi.org/10.1016/j.chaos.2026.118196\">10.1016/j.chaos.2026.118196</a>}, number={118196}, journal={Chaos, Solitons &#38; Fractals}, publisher={Elsevier BV}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2026} }","mla":"von der Gracht, Sören, et al. “Homogeneous Coupled Cell Systems with High-Dimensional Internal Dynamics.” <i>Chaos, Solitons &#38; Fractals</i>, vol. 208, 118196, Elsevier BV, 2026, doi:<a href=\"https://doi.org/10.1016/j.chaos.2026.118196\">10.1016/j.chaos.2026.118196</a>.","short":"S. von der Gracht, E. Nijholt, B. Rink, Chaos, Solitons &#38; Fractals 208 (2026).","ama":"von der Gracht S, Nijholt E, Rink B. Homogeneous coupled cell systems with high-dimensional internal dynamics. <i>Chaos, Solitons &#38; Fractals</i>. 2026;208. doi:<a href=\"https://doi.org/10.1016/j.chaos.2026.118196\">10.1016/j.chaos.2026.118196</a>","ieee":"S. von der Gracht, E. Nijholt, and B. Rink, “Homogeneous coupled cell systems with high-dimensional internal dynamics,” <i>Chaos, Solitons &#38; Fractals</i>, vol. 208, Art. no. 118196, 2026, doi: <a href=\"https://doi.org/10.1016/j.chaos.2026.118196\">10.1016/j.chaos.2026.118196</a>.","chicago":"Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Homogeneous Coupled Cell Systems with High-Dimensional Internal Dynamics.” <i>Chaos, Solitons &#38; Fractals</i> 208 (2026). <a href=\"https://doi.org/10.1016/j.chaos.2026.118196\">https://doi.org/10.1016/j.chaos.2026.118196</a>."},"intvolume":"       208","publication_status":"published","has_accepted_license":"1","publication_identifier":{"issn":["0960-0779"]},"doi":"10.1016/j.chaos.2026.118196","author":[{"orcid":"0000-0002-8054-2058","last_name":"von der Gracht","id":"97359","full_name":"von der Gracht, Sören","first_name":"Sören"},{"full_name":"Nijholt, Eddie","last_name":"Nijholt","first_name":"Eddie"},{"first_name":"Bob","full_name":"Rink, Bob","last_name":"Rink"}],"volume":208,"date_updated":"2026-03-16T08:42:56Z"},{"status":"public","publication":"Proceedings of the IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM","type":"conference","language":[{"iso":"eng"}],"_id":"64797","department":[{"_id":"979"}],"user_id":"88811","year":"2026","citation":{"short":"L. Birk, G. Loth, L. Jotzo, K. Binder, D. Frischemeier, in: Proceedings of the IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM, International Association for Statistics Education, 2026.","bibtex":"@inproceedings{Birk_Loth_Jotzo_Binder_Frischemeier_2026, title={Editorial}, DOI={<a href=\"https://doi.org/10.52041/iase25.158\">10.52041/iase25.158</a>}, booktitle={Proceedings of the IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM}, publisher={International Association for Statistics Education}, author={Birk, Lisa and Loth, Gerrit and Jotzo, Luca and Binder, Karin and Frischemeier, Daniel}, year={2026} }","mla":"Birk, Lisa, et al. “Editorial.” <i>Proceedings of the IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM</i>, International Association for Statistics Education, 2026, doi:<a href=\"https://doi.org/10.52041/iase25.158\">10.52041/iase25.158</a>.","apa":"Birk, L., Loth, G., Jotzo, L., Binder, K., &#38; Frischemeier, D. (2026). Editorial. <i>Proceedings of the IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM</i>. <a href=\"https://doi.org/10.52041/iase25.158\">https://doi.org/10.52041/iase25.158</a>","ama":"Birk L, Loth G, Jotzo L, Binder K, Frischemeier D. Editorial. In: <i>Proceedings of the IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM</i>. International Association for Statistics Education; 2026. doi:<a href=\"https://doi.org/10.52041/iase25.158\">10.52041/iase25.158</a>","ieee":"L. Birk, G. Loth, L. Jotzo, K. Binder, and D. Frischemeier, “Editorial,” 2026, doi: <a href=\"https://doi.org/10.52041/iase25.158\">10.52041/iase25.158</a>.","chicago":"Birk, Lisa, Gerrit Loth, Luca Jotzo, Karin Binder, and Daniel Frischemeier. “Editorial.” In <i>Proceedings of the IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM</i>. International Association for Statistics Education, 2026. <a href=\"https://doi.org/10.52041/iase25.158\">https://doi.org/10.52041/iase25.158</a>."},"publication_status":"published","title":"Editorial","doi":"10.52041/iase25.158","publisher":"International Association for Statistics Education","date_updated":"2026-03-17T10:19:16Z","author":[{"full_name":"Birk, Lisa","last_name":"Birk","first_name":"Lisa"},{"first_name":"Gerrit","full_name":"Loth, Gerrit","last_name":"Loth"},{"last_name":"Jotzo","orcid":"0009-0003-1440-6466","full_name":"Jotzo, Luca","id":"88811","first_name":"Luca"},{"first_name":"Karin","last_name":"Binder","id":"83381","full_name":"Binder, Karin"},{"last_name":"Frischemeier","full_name":"Frischemeier, Daniel","first_name":"Daniel"}],"date_created":"2026-03-01T13:18:24Z"},{"status":"public","type":"journal_article","publication":"Grundschule aktuell","language":[{"iso":"ger"}],"_id":"64176","user_id":"44184","department":[{"_id":"543"}],"year":"2026","citation":{"apa":"Deutschen, K., Neufeld, I., &#38; Häsel-Weide, U. (2026). Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen. <i>Grundschule aktuell</i>, <i>173</i>, 10–11.","short":"K. Deutschen, I. Neufeld, U. Häsel-Weide, Grundschule aktuell (2026) 10–11.","bibtex":"@article{Deutschen_Neufeld_Häsel-Weide_2026, title={Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen.}, number={173}, journal={Grundschule aktuell}, author={Deutschen, Katrin and Neufeld, Inga and Häsel-Weide, Uta}, year={2026}, pages={10–11} }","mla":"Deutschen, Katrin, et al. “Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen.” <i>Grundschule aktuell</i>, no. 173, 2026, pp. 10–11.","chicago":"Deutschen, Katrin, Inga Neufeld, and Uta Häsel-Weide. “Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen.” <i>Grundschule aktuell</i>, no. 173 (2026): 10–11.","ieee":"K. Deutschen, I. Neufeld, and U. Häsel-Weide, “Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen.,” <i>Grundschule aktuell</i>, no. 173, pp. 10–11, 2026.","ama":"Deutschen K, Neufeld I, Häsel-Weide U. Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen. <i>Grundschule aktuell</i>. 2026;(173):10-11."},"page":"10-11","issue":"173","title":"Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen.","date_updated":"2026-03-17T10:48:56Z","date_created":"2026-02-16T12:16:29Z","author":[{"last_name":"Deutschen","id":"64894","full_name":"Deutschen, Katrin","first_name":"Katrin"},{"first_name":"Inga","id":"61635","full_name":"Neufeld, Inga","last_name":"Neufeld"},{"last_name":"Häsel-Weide","orcid":"0000-0001-6278-4240","full_name":"Häsel-Weide, Uta","id":"60267","first_name":"Uta"}]},{"page":"119-134","citation":{"apa":"Neufeld, I., &#38; Häsel-Weide, U. (2026).  Lernbegleitung in der mathematischen Förderung. Praktiken von (angehenden) Lehrkräften bei der Förderung arithmetischer Basiskompetenzen. In C. Vogelsang, L. Grotegurt, J. Bruns, J. Riese, &#38; S. Fechner (Eds.), <i>Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften. Konzeptionen und Forschungsperspektiven</i> (pp. 119–134). <a href=\"https://doi.org/10.31244/9783818851057 \">https://doi.org/10.31244/9783818851057 </a>","ama":"Neufeld I, Häsel-Weide U.  Lernbegleitung in der mathematischen Förderung. Praktiken von (angehenden) Lehrkräften bei der Förderung arithmetischer Basiskompetenzen. In: Vogelsang C, Grotegurt L, Bruns J, Riese J, Fechner S, eds. <i>Handlungsorientierung in Der Ausbildung von Lehrkräften Und Pädagogischen Fachkräften. Konzeptionen Und Forschungsperspektiven</i>. ; 2026:119-134. doi:<a href=\"https://doi.org/10.31244/9783818851057 \">10.31244/9783818851057 </a>","short":"I. Neufeld, U. Häsel-Weide, in: C. Vogelsang, L. Grotegurt, J. Bruns, J. Riese, S. Fechner (Eds.), Handlungsorientierung in Der Ausbildung von Lehrkräften Und Pädagogischen Fachkräften. Konzeptionen Und Forschungsperspektiven, 2026, pp. 119–134.","bibtex":"@inbook{Neufeld_Häsel-Weide_2026, title={ Lernbegleitung in der mathematischen Förderung. Praktiken von (angehenden) Lehrkräften bei der Förderung arithmetischer Basiskompetenzen}, DOI={<a href=\"https://doi.org/10.31244/9783818851057 \">10.31244/9783818851057 </a>}, booktitle={Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften. Konzeptionen und Forschungsperspektiven}, author={Neufeld, Inga and Häsel-Weide, Uta}, editor={Vogelsang, C. and Grotegurt, L. and Bruns, J. and Riese, J. and Fechner, S.}, year={2026}, pages={119–134} }","mla":"Neufeld, Inga, and Uta Häsel-Weide. “ Lernbegleitung in Der Mathematischen Förderung. Praktiken von (Angehenden) Lehrkräften Bei Der Förderung Arithmetischer Basiskompetenzen.” <i>Handlungsorientierung in Der Ausbildung von Lehrkräften Und Pädagogischen Fachkräften. Konzeptionen Und Forschungsperspektiven</i>, edited by C. Vogelsang et al., 2026, pp. 119–34, doi:<a href=\"https://doi.org/10.31244/9783818851057 \">10.31244/9783818851057 </a>.","chicago":"Neufeld, Inga, and Uta Häsel-Weide. “ Lernbegleitung in Der Mathematischen Förderung. Praktiken von (Angehenden) Lehrkräften Bei Der Förderung Arithmetischer Basiskompetenzen.” In <i>Handlungsorientierung in Der Ausbildung von Lehrkräften Und Pädagogischen Fachkräften. Konzeptionen Und Forschungsperspektiven</i>, edited by C. Vogelsang, L. Grotegurt, J. Bruns, J. Riese, and S. Fechner, 119–34, 2026. <a href=\"https://doi.org/10.31244/9783818851057 \">https://doi.org/10.31244/9783818851057 </a>.","ieee":"I. Neufeld and U. Häsel-Weide, “ Lernbegleitung in der mathematischen Förderung. Praktiken von (angehenden) Lehrkräften bei der Förderung arithmetischer Basiskompetenzen,” in <i>Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften. Konzeptionen und Forschungsperspektiven</i>, C. Vogelsang, L. Grotegurt, J. Bruns, J. Riese, and S. Fechner, Eds. 2026, pp. 119–134."},"year":"2026","author":[{"first_name":"Inga","last_name":"Neufeld","full_name":"Neufeld, Inga","id":"61635"},{"first_name":"Uta","id":"60267","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","orcid":"0000-0001-6278-4240"}],"date_created":"2026-03-17T10:57:17Z","date_updated":"2026-03-17T11:03:11Z","doi":"10.31244/9783818851057 ","title":" Lernbegleitung in der mathematischen Förderung. Praktiken von (angehenden) Lehrkräften bei der Förderung arithmetischer Basiskompetenzen","publication":"Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften. Konzeptionen und Forschungsperspektiven","type":"book_chapter","status":"public","editor":[{"last_name":"Vogelsang","full_name":"Vogelsang, C.","first_name":"C."},{"full_name":"Grotegurt, L.","last_name":"Grotegurt","first_name":"L."},{"first_name":"J.","full_name":"Bruns, J.","last_name":"Bruns"},{"last_name":"Riese","full_name":"Riese, J.","first_name":"J."},{"last_name":"Fechner","full_name":"Fechner, S.","first_name":"S."}],"department":[{"_id":"543"}],"user_id":"44184","_id":"65026","language":[{"iso":"eng"}]}]