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Geodesic interpretation of the global quasi-geostrophic equations. <i>Calculus of Variations and Partial Differential Equations </i>. 2026;65. doi:<a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>","bibtex":"@article{Modin_Suri_2026, title={Geodesic interpretation of the global quasi-geostrophic equations}, volume={65}, DOI={<a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>}, journal={Calculus of Variations and Partial Differential Equations }, author={Modin, Klas and Suri, Ali}, year={2026} }","mla":"Modin, Klas, and Ali Suri. “Geodesic Interpretation of the Global Quasi-Geostrophic Equations.” <i>Calculus of Variations and Partial Differential Equations </i>, vol. 65, 2026, doi:<a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>.","chicago":"Modin, Klas, and Ali Suri. “Geodesic Interpretation of the Global Quasi-Geostrophic Equations.” <i>Calculus of Variations and Partial Differential Equations </i> 65 (2026). <a href=\"https://doi.org/10.1007/s00526-025-03186-0\">https://doi.org/10.1007/s00526-025-03186-0</a>.","short":"K. 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Refining Hölder regularity theory in degenerate drift-diffusion equations. <i>Annali Di Matematica Pura Ed Applicata (1923 -)</i>. <a href=\"https://doi.org/10.1007/s10231-025-01642-4\">https://doi.org/10.1007/s10231-025-01642-4</a>","ieee":"T. Black, “Refining Hölder regularity theory in degenerate drift-diffusion equations,” <i>Annali di Matematica Pura ed Applicata (1923 -)</i>, 2026, doi: <a href=\"https://doi.org/10.1007/s10231-025-01642-4\">10.1007/s10231-025-01642-4</a>.","short":"T. 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Black, S. Kohatsu, D. Wu, Journal of Evolution Equations 26 (2026).","ieee":"T. Black, S. Kohatsu, and D. Wu, “Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption,” <i>Journal of Evolution Equations</i>, vol. 26, no. 1, Art. no. 24, 2026, doi: <a href=\"https://doi.org/10.1007/s00028-025-01163-w\">10.1007/s00028-025-01163-w</a>.","apa":"Black, T., Kohatsu, S., &#38; Wu, D. (2026). Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption. <i>Journal of Evolution Equations</i>, <i>26</i>(1), Article 24. <a href=\"https://doi.org/10.1007/s00028-025-01163-w\">https://doi.org/10.1007/s00028-025-01163-w</a>","bibtex":"@article{Black_Kohatsu_Wu_2026, title={Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption}, volume={26}, DOI={<a href=\"https://doi.org/10.1007/s00028-025-01163-w\">10.1007/s00028-025-01163-w</a>}, number={124}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Kohatsu, Shohei and Wu, Duan}, year={2026} }","ama":"Black T, Kohatsu S, Wu D. Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption. <i>Journal of Evolution Equations</i>. 2026;26(1). doi:<a href=\"https://doi.org/10.1007/s00028-025-01163-w\">10.1007/s00028-025-01163-w</a>","mla":"Black, Tobias, et al. “Global Solvability and Large-Time Behavior in a Doubly Degenerate Migration Model Involving Saturated Signal Consumption.” <i>Journal of Evolution Equations</i>, vol. 26, no. 1, 24, Springer Science and Business Media LLC, 2026, doi:<a href=\"https://doi.org/10.1007/s00028-025-01163-w\">10.1007/s00028-025-01163-w</a>."}},{"author":[{"id":"60267","first_name":"Uta","last_name":"Häsel-Weide","orcid":"0000-0001-6278-4240","full_name":"Häsel-Weide, Uta"},{"last_name":"Nührenbörger","first_name":"Marcus","full_name":"Nührenbörger, Marcus"}],"title":"Mathematische Basiskompetenzen. Diagnose und Förderung in der Grundschule.","status":"public","year":"2026","date_updated":"2026-02-16T12:16:39Z","_id":"64174","language":[{"iso":"ger"}],"page":"3-6","user_id":"44184","citation":{"chicago":"Häsel-Weide, Uta, and Marcus Nührenbörger. “Mathematische Basiskompetenzen. Diagnose und Förderung in der Grundschule.” <i>Grundschule aktuell</i>, no. 173 (2026): 3–6.","short":"U. Häsel-Weide, M. Nührenbörger, Grundschule aktuell (2026) 3–6.","ieee":"U. Häsel-Weide and M. Nührenbörger, “Mathematische Basiskompetenzen. Diagnose und Förderung in der Grundschule.,” <i>Grundschule aktuell</i>, no. 173, pp. 3–6, 2026.","apa":"Häsel-Weide, U., &#38; Nührenbörger, M. (2026). Mathematische Basiskompetenzen. Diagnose und Förderung in der Grundschule. <i>Grundschule aktuell</i>, <i>173</i>, 3–6.","bibtex":"@article{Häsel-Weide_Nührenbörger_2026, title={Mathematische Basiskompetenzen. Diagnose und Förderung in der Grundschule.}, number={173}, journal={Grundschule aktuell}, author={Häsel-Weide, Uta and Nührenbörger, Marcus}, year={2026}, pages={3–6} }","ama":"Häsel-Weide U, Nührenbörger M. Mathematische Basiskompetenzen. Diagnose und Förderung in der Grundschule. <i>Grundschule aktuell</i>. 2026;(173):3-6.","mla":"Häsel-Weide, Uta, and Marcus Nührenbörger. “Mathematische Basiskompetenzen. Diagnose und Förderung in der Grundschule.” <i>Grundschule aktuell</i>, no. 173, 2026, pp. 3–6."},"issue":"173","publication":"Grundschule aktuell","date_created":"2026-02-16T12:13:02Z","department":[{"_id":"543"}],"type":"journal_article"},{"volume":"(to appear)","user_id":"49178","_id":"51204","language":[{"iso":"eng"}],"date_updated":"2026-02-18T10:37:47Z","author":[{"full_name":"Lutsko, Christopher","first_name":"Christopher","last_name":"Lutsko"},{"id":"49178","full_name":"Weich, Tobias","last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919"},{"full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart","last_name":"Wolf","orcid":"0000-0001-8893-2045","id":"45027"}],"status":"public","year":"2026","title":"Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","date_created":"2024-02-06T20:35:36Z","external_id":{"arxiv":["2402.02530"]},"abstract":[{"lang":"eng","text":"Given a real semisimple connected Lie group $G$ and a discrete torsion-free\r\nsubgroup $\\Gamma < G$ we prove a precise connection between growth rates of the\r\ngroup $\\Gamma$, polyhedral bounds on the joint spectrum of the ring of\r\ninvariant differential operators, and the decay of matrix coefficients. In\r\nparticular, this allows us to completely characterize temperedness of\r\n$L^2(\\Gamma\\backslash G)$ in this general setting."}],"citation":{"apa":"Lutsko, C., Weich, T., &#38; Wolf, L. L. (2026). Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. <i>Duke Math. Journal </i>, <i>(to appear)</i>.","ieee":"C. Lutsko, T. Weich, and L. L. Wolf, “Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces,” <i>Duke Math. Journal </i>, vol. (to appear), 2026.","short":"C. Lutsko, T. Weich, L.L. Wolf, Duke Math. Journal  (to appear) (2026).","chicago":"Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” <i>Duke Math. Journal </i> (to appear) (2026).","mla":"Lutsko, Christopher, et al. “Polyhedral Bounds on the Joint Spectrum and Temperedness of Locally  Symmetric Spaces.” <i>Duke Math. Journal </i>, vol. (to appear), 2026.","ama":"Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces. <i>Duke Math Journal </i>. 2026;(to appear).","bibtex":"@article{Lutsko_Weich_Wolf_2026, title={Polyhedral bounds on the joint spectrum and temperedness of locally  symmetric spaces}, volume={(to appear)}, journal={Duke Math. Journal }, author={Lutsko, Christopher and Weich, Tobias and Wolf, Lasse Lennart}, year={2026} }"},"publication":"Duke Math. Journal "},{"doi":"10.1016/j.jfa.2026.111382","article_number":"111382","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-02-20T09:41:45Z","intvolume":"       290","year":"2026","title":"Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations","author":[{"first_name":"Milan","last_name":"Niestijl","full_name":"Niestijl, Milan"}],"publication_identifier":{"issn":["0022-1236"]},"type":"journal_article","department":[{"_id":"93"}],"date_created":"2026-02-20T09:38:34Z","publication":"Journal of Functional Analysis","issue":"9","user_id":"104095","volume":290,"_id":"64290","publisher":"Elsevier BV","status":"public","citation":{"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} }","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>","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>.","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>.","short":"M. Niestijl, Journal of Functional Analysis 290 (2026).","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>.","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>"}},{"citation":{"short":"M. Olbrich, G. Palmirotta, Mathematische Nachrichten 299 (2026) 456–479.","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>","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} }","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>","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>."},"page":"456-479","_id":"64569","publisher":"Wiley","user_id":"109467","volume":299,"status":"public","date_created":"2026-02-20T19:56:33Z","type":"journal_article","department":[{"_id":"548"}],"publication":"Mathematische Nachrichten","issue":"2","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"}],"language":[{"iso":"eng"}],"doi":"10.1002/mana.70100","title":"Solvability of invariant systems of differential equations on H2$\\mathbb {H}^2$ and beyond","year":"2026","publication_identifier":{"issn":["0025-584X","1522-2616"]},"author":[{"first_name":"Martin","last_name":"Olbrich","full_name":"Olbrich, Martin"},{"id":"109467","full_name":"Palmirotta, Guendalina","last_name":"Palmirotta","first_name":"Guendalina"}],"publication_status":"published","date_updated":"2026-02-20T20:01:56Z","intvolume":"       299"},{"date_created":"2026-02-26T06:56:00Z","external_id":{"arxiv":["arXiv:2602.12362"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint","citation":{"ama":"Glöckner H, Neeb K-H. Infinite-dimensional Lie groups. Published online 2026.","bibtex":"@article{Glöckner_Neeb_2026, title={Infinite-dimensional Lie groups}, author={Glöckner, Helge and Neeb, Karl-Hermann}, year={2026} }","mla":"Glöckner, Helge, and Karl-Hermann Neeb. <i>Infinite-Dimensional Lie Groups</i>. 2026.","short":"H. Glöckner, K.-H. Neeb, (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>.","ieee":"H. Glöckner and K.-H. Neeb, “Infinite-dimensional Lie groups.” 2026."},"_id":"64629","language":[{"iso":"eng"}],"page":"1056","user_id":"178","author":[{"full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner","id":"178"},{"full_name":"Neeb, Karl-Hermann","first_name":"Karl-Hermann","last_name":"Neeb"}],"status":"public","year":"2026","title":"Infinite-dimensional Lie groups","date_updated":"2026-02-26T06:58:23Z"},{"date_updated":"2026-03-03T08:49:33Z","author":[{"last_name":"Jalowy","first_name":"Jonas","orcid":"0000-0001-9624-2685","full_name":"Jalowy, Jonas","id":"113768"},{"last_name":"Lammers","first_name":"Isabel","full_name":"Lammers, Isabel"},{"full_name":"Löwe, Matthias","first_name":"Matthias","last_name":"Löwe"}],"year":"2026","title":"The infinite block spin Ising model","status":"public","user_id":"113768","_id":"64816","language":[{"iso":"eng"}],"abstract":[{"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 $s_N \\to \\infty$.","lang":"eng"}],"citation":{"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} }","ama":"Jalowy J, Lammers I, Löwe M. The infinite block spin Ising model. <i>arXiv:260301994</i>. Published online 2026.","mla":"Jalowy, Jonas, et al. “The Infinite Block Spin Ising Model.” <i>ArXiv:2603.01994</i>, 2026.","short":"J. Jalowy, I. Lammers, M. Löwe, ArXiv:2603.01994 (2026).","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.","apa":"Jalowy, J., Lammers, I., &#38; Löwe, M. (2026). The infinite block spin Ising model. In <i>arXiv:2603.01994</i>."},"publication":"arXiv:2603.01994","department":[{"_id":"94"}],"type":"preprint","date_created":"2026-03-03T08:49:16Z","external_id":{"arxiv":["2603.01994"]}},{"ddc":["510"],"user_id":"97359","_id":"64865","has_accepted_license":"1","status":"public","external_id":{"arxiv":["2603.06157"]},"file_date_updated":"2026-03-09T08:26:04Z","citation":{"apa":"von der Gracht, S., &#38; Lohse, A. (2026). Design of Hierarchical Excitable Networks. In <i>arXiv:2603.06157</i>.","ieee":"S. von der Gracht and A. Lohse, “Design of Hierarchical Excitable Networks,” <i>arXiv:2603.06157</i>. 2026.","chicago":"Gracht, Sören von der, and Alexander Lohse. “Design of Hierarchical Excitable Networks.” <i>ArXiv:2603.06157</i>, 2026.","short":"S. von der Gracht, A. Lohse, ArXiv:2603.06157 (2026).","mla":"von der Gracht, Sören, and Alexander Lohse. “Design of Hierarchical Excitable Networks.” <i>ArXiv:2603.06157</i>, 2026.","ama":"von der Gracht S, Lohse A. Design of Hierarchical Excitable Networks. <i>arXiv:260306157</i>. Published online 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} }"},"language":[{"iso":"eng"}],"date_updated":"2026-03-09T08:26:49Z","title":"Design of Hierarchical Excitable Networks","year":"2026","author":[{"last_name":"von der Gracht","first_name":"Sören","orcid":"0000-0002-8054-2058","full_name":"von der Gracht, Sören","id":"97359"},{"full_name":"Lohse, Alexander","first_name":"Alexander","last_name":"Lohse"}],"type":"preprint","department":[{"_id":"101"},{"_id":"841"}],"file":[{"success":1,"content_type":"application/pdf","file_id":"64866","date_updated":"2026-03-09T08:26:04Z","relation":"main_file","file_size":5179491,"access_level":"closed","file_name":"design-of-hierarchical-excitable-networks.pdf","date_created":"2026-03-09T08:26:04Z","creator":"svdg"}],"date_created":"2026-03-09T08:22:58Z","related_material":{"link":[{"url":"https://s-vdg.github.io/publication/design-of-hierarchical-excitable-networks/design-of-hierarchical-excitable-networks.pdf","relation":"research_paper"}]},"abstract":[{"lang":"eng","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."}],"publication":"arXiv:2603.06157"},{"volume":91,"user_id":"11829","doi":"10.1016/j.nonrwa.2025.104580","_id":"63435","publisher":"Elsevier BV","language":[{"iso":"eng"}],"page":"104580","intvolume":"        91","date_updated":"2026-01-05T07:40:49Z","publication_identifier":{"issn":["1468-1218"]},"author":[{"full_name":"Claes, Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","first_name":"Leander","id":"11829"},{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"year":"2026","title":"Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis","status":"public","department":[{"_id":"49"},{"_id":"90"}],"type":"journal_article","date_created":"2026-01-05T07:32:00Z","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"citation":{"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>.","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>","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>.","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} }","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>"},"publication":"Nonlinear Analysis: Real World Applications"},{"department":[{"_id":"636"}],"type":"journal_article","date_created":"2026-01-12T11:33:54Z","abstract":[{"lang":"eng","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."}],"citation":{"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>.","short":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T. Sato Martín de Almagro, Multibody System Dynamics (2026).","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>","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>.","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>","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} }","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>."},"publication":"Multibody System Dynamics","user_id":"87909","doi":"10.1007/s11044-025-10138-1","_id":"63557","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","publication_status":"published","date_updated":"2026-01-12T11:35:27Z","publication_identifier":{"issn":["1384-5640","1573-272X"]},"author":[{"first_name":"Michael","last_name":"Konopik","full_name":"Konopik, Michael"},{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"},{"id":"87909","first_name":"Sofya","last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya"},{"full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina","id":"16494"},{"full_name":"Sato Martín de Almagro, Rodrigo T.","first_name":"Rodrigo T.","last_name":"Sato Martín de Almagro"}],"title":"On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics","status":"public","year":"2026"},{"title":"Drinfeld correspondence in infinite dimensions","status":"public","year":"2026","author":[{"id":"103300","full_name":"Rahangdale, Praful","last_name":"Rahangdale","first_name":"Praful"}],"date_updated":"2026-03-09T23:26:46Z","language":[{"iso":"eng"}],"_id":"64871","user_id":"178","citation":{"bibtex":"@article{Rahangdale_2026, title={Drinfeld correspondence in infinite dimensions}, author={Rahangdale, Praful}, year={2026} }","ama":"Rahangdale P. Drinfeld correspondence in infinite dimensions. Published online 2026.","mla":"Rahangdale, Praful. <i>Drinfeld Correspondence in Infinite Dimensions</i>. 2026.","short":"P. Rahangdale, (2026).","chicago":"Rahangdale, Praful. “Drinfeld Correspondence in Infinite Dimensions,” 2026.","ieee":"P. Rahangdale, “Drinfeld correspondence in infinite dimensions.” 2026.","apa":"Rahangdale, P. (2026). <i>Drinfeld correspondence in infinite dimensions</i>."},"external_id":{"arxiv":[" arXiv:2603.04634"]},"date_created":"2026-03-09T23:25:29Z","type":"preprint","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}]},{"doi":"10.1016/j.chaos.2026.118196","language":[{"iso":"eng"}],"article_number":"118196","intvolume":"       208","article_type":"original","date_updated":"2026-03-16T08:42:56Z","publication_status":"published","author":[{"id":"97359","full_name":"von der Gracht, Sören","first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"von der Gracht"},{"last_name":"Nijholt","first_name":"Eddie","full_name":"Nijholt, Eddie"},{"full_name":"Rink, Bob","last_name":"Rink","first_name":"Bob"}],"publication_identifier":{"issn":["0960-0779"]},"title":"Homogeneous coupled cell systems with high-dimensional internal dynamics","year":"2026","department":[{"_id":"101"},{"_id":"841"}],"keyword":["Coupled cell systems","Network dynamics","Dimension reduction","Bifurcation theory","Symmetry","Monoid representation theory"],"type":"journal_article","date_created":"2026-03-16T08:39:07Z","file":[{"file_id":"64980","success":1,"content_type":"application/pdf","relation":"main_file","date_updated":"2026-03-16T08:40:04Z","file_name":"homogeneous-coupled-cell-systems-with-high-dimensional-internal-dynamics.pdf","access_level":"closed","file_size":1951746,"date_created":"2026-03-16T08:40:04Z","creator":"svdg"}],"abstract":[{"lang":"eng","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."}],"publication":"Chaos, Solitons & Fractals","volume":208,"ddc":["510"],"user_id":"97359","publisher":"Elsevier BV","_id":"64979","has_accepted_license":"1","status":"public","external_id":{"arxiv":["2510.06740"]},"citation":{"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>.","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>","short":"S. von der Gracht, E. Nijholt, B. Rink, Chaos, Solitons &#38; Fractals 208 (2026).","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>.","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>.","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} }","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>"},"file_date_updated":"2026-03-16T08:40:04Z"},{"status":"public","title":"Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen.","year":"2026","author":[{"first_name":"Katrin","last_name":"Deutschen","full_name":"Deutschen, Katrin","id":"64894"},{"id":"61635","full_name":"Neufeld, Inga","last_name":"Neufeld","first_name":"Inga"},{"first_name":"Uta","orcid":"0000-0001-6278-4240","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta","id":"60267"}],"date_updated":"2026-03-17T10:48:56Z","page":"10-11","language":[{"iso":"ger"}],"_id":"64176","user_id":"44184","publication":"Grundschule aktuell","issue":"173","citation":{"mla":"Deutschen, Katrin, et al. “Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen.” <i>Grundschule aktuell</i>, no. 173, 2026, pp. 10–11.","ama":"Deutschen K, Neufeld I, Häsel-Weide U. Lernbegleitung produktiv gestalten. Mathematische Verstehensprozesse von Kindern anregen. <i>Grundschule aktuell</i>. 2026;(173):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} }","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.","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.","short":"K. Deutschen, I. Neufeld, U. Häsel-Weide, Grundschule aktuell (2026) 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."},"date_created":"2026-02-16T12:16:29Z","type":"journal_article","department":[{"_id":"543"}]},{"author":[{"first_name":"Inga","last_name":"Neufeld","full_name":"Neufeld, Inga","id":"61635"},{"id":"60267","first_name":"Uta","orcid":"0000-0001-6278-4240","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta"}],"year":"2026","status":"public","title":" Lernbegleitung in der mathematischen Förderung. 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Vogelsang et al., 2026, pp. 119–34, doi:<a href=\"https://doi.org/10.31244/9783818851057 \">10.31244/9783818851057 </a>.","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>","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.","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>.","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.","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>","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} }"},"publication":"Handlungsorientierung in der Ausbildung von Lehrkräften und pädagogischen Fachkräften. Konzeptionen und Forschungsperspektiven","date_created":"2026-03-17T10:57:17Z","department":[{"_id":"543"}],"type":"book_chapter"},{"user_id":"178","_id":"65036","language":[{"iso":"eng"}],"date_updated":"2026-03-18T02:50:18Z","author":[{"first_name":"Tal","last_name":"Cohen","full_name":"Cohen, Tal"},{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"first_name":"Gil","last_name":"Goffer","full_name":"Goffer, Gil"},{"full_name":"Lederle, Waltraud","first_name":"Waltraud","last_name":"Lederle"}],"year":"2026","title":"Compact invariant random subgroups","status":"public","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint","date_created":"2026-03-18T02:49:44Z","external_id":{"arxiv":["arXiv:2603.16022 "]},"citation":{"bibtex":"@article{Cohen_Glöckner_Goffer_Lederle_2026, title={Compact invariant random subgroups}, author={Cohen, Tal and Glöckner, Helge and Goffer, Gil and Lederle, Waltraud}, year={2026} }","chicago":"Cohen, Tal, Helge Glöckner, Gil Goffer, and Waltraud Lederle. “Compact Invariant Random Subgroups,” 2026.","ama":"Cohen T, Glöckner H, Goffer G, Lederle W. Compact invariant random subgroups. Published online 2026.","short":"T. Cohen, H. Glöckner, G. Goffer, W. Lederle, (2026).","ieee":"T. Cohen, H. Glöckner, G. Goffer, and W. Lederle, “Compact invariant random subgroups.” 2026.","mla":"Cohen, Tal, et al. <i>Compact Invariant Random Subgroups</i>. 2026.","apa":"Cohen, T., Glöckner, H., Goffer, G., &#38; Lederle, W. (2026). <i>Compact invariant random subgroups</i>."}},{"oa":"1","external_id":{"arxiv":["2412.00780"]},"project":[{"_id":"356","name":"TRR 358 - B02: TRR 358 - Spektraltheorie in höherem Rang und unendlichem Volumen (Teilprojekt B02)"}],"citation":{"ieee":"G. Palmirotta, Y. Sire, and J.-P. Anker, “The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees,” <i>Journal of Differential Equations</i>, 2026, doi: <a href=\"https://doi.org/10.1016/j.jde.2025.114065\">10.1016/j.jde.2025.114065</a>.","mla":"Palmirotta, Guendalina, et al. “The Schrödinger Equation with Fractional Laplacian on Hyperbolic Spaces and Homogeneous Trees.” <i>Journal of Differential Equations</i>, Elsevier, 2026, doi:<a href=\"https://doi.org/10.1016/j.jde.2025.114065\">10.1016/j.jde.2025.114065</a>.","apa":"Palmirotta, G., Sire, Y., &#38; Anker, J.-P. (2026). The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees. <i>Journal of Differential Equations</i>. <a href=\"https://doi.org/10.1016/j.jde.2025.114065\">https://doi.org/10.1016/j.jde.2025.114065</a>","bibtex":"@article{Palmirotta_Sire_Anker_2026, title={The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2025.114065\">10.1016/j.jde.2025.114065</a>}, journal={Journal of Differential Equations}, publisher={Elsevier}, author={Palmirotta, Guendalina and Sire, Yannick and Anker, Jean-Philippe}, year={2026} }","chicago":"Palmirotta, Guendalina, Yannick Sire, and Jean-Philippe Anker. “The Schrödinger Equation with Fractional Laplacian on Hyperbolic Spaces and Homogeneous Trees.” <i>Journal of Differential Equations</i>, 2026. <a href=\"https://doi.org/10.1016/j.jde.2025.114065\">https://doi.org/10.1016/j.jde.2025.114065</a>.","short":"G. Palmirotta, Y. Sire, J.-P. Anker, Journal of Differential Equations (2026).","ama":"Palmirotta G, Sire Y, Anker J-P. The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees. <i>Journal of Differential Equations</i>. Published online 2026. doi:<a href=\"https://doi.org/10.1016/j.jde.2025.114065\">10.1016/j.jde.2025.114065</a>"},"user_id":"109467","_id":"57580","publisher":"Elsevier","status":"public","keyword":["Schrödinger equation","Fractional Laplacian","Dispersive estimates","Strichartz estimates","Real hyperbolic spaces","Homogeneous trees"],"type":"journal_article","department":[{"_id":"10"},{"_id":"548"}],"date_created":"2024-12-04T16:21:38Z","abstract":[{"text":"We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogeneous trees. Due to the Knapp phenomenon, the Strichartz estimates on Euclidean spaces for the fractional Laplacian exhibit loss of derivatives. A similar phenomenon appears on real hyperbolic spaces. However, such a loss disappears on homogeneous trees, due to the triviality of the estimates for small times.","lang":"eng"}],"related_material":{"link":[{"url":"https://www.sciencedirect.com/science/article/pii/S0022039625010927?via%3Dihub","relation":"confirmation"}]},"publication":"Journal of Differential Equations","doi":"10.1016/j.jde.2025.114065","main_file_link":[{"url":"https://doi.org/10.1016/j.jde.2025.114065","open_access":"1"}],"language":[{"iso":"eng"}],"date_updated":"2026-03-30T12:03:37Z","publication_status":"published","year":"2026","title":"The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees","author":[{"id":"109467","full_name":"Palmirotta, Guendalina","first_name":"Guendalina","last_name":"Palmirotta"},{"last_name":"Sire","first_name":"Yannick","full_name":"Sire, Yannick"},{"full_name":"Anker, Jean-Philippe","first_name":"Jean-Philippe","last_name":"Anker"}]}]