[{"date_created":"2026-01-15T10:23:32Z","department":[{"_id":"979"}],"type":"conference","citation":{"mla":"Garnelo Abellanas, Irene. “Towards Design Principles for Learning Environments Based on Theorem Provers.” <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, 2025.","ama":"Garnelo Abellanas I. Towards design principles for learning environments based on theorem provers. In: <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>. ; 2025.","bibtex":"@inproceedings{Garnelo Abellanas_2025, title={Towards design principles for learning environments based on theorem provers}, booktitle={Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}, author={Garnelo Abellanas, Irene}, year={2025} }","apa":"Garnelo Abellanas, I. (2025). Towards design principles for learning environments based on theorem provers. <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>.","ieee":"I. Garnelo Abellanas, “Towards design principles for learning environments based on theorem provers,” 2025.","short":"I. Garnelo Abellanas, in: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025.","chicago":"Garnelo Abellanas, Irene. “Towards Design Principles for Learning Environments Based on Theorem Provers.” In <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, 2025."},"publication":"Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)","_id":"63622","language":[{"iso":"eng"}],"user_id":"93843","author":[{"full_name":"Garnelo Abellanas, Irene","first_name":"Irene","last_name":"Garnelo Abellanas","id":"93843"}],"title":"Towards design principles for learning environments based on theorem provers","year":"2025","status":"public","date_updated":"2026-01-15T10:23:49Z"},{"citation":{"ieee":"I. Garnelo Abellanas, “Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern,” 2025.","apa":"Garnelo Abellanas, I. (2025). Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern. <i>Beiträge Zum Mathematikunterricht 2025</i>.","short":"I. Garnelo Abellanas, in: Beiträge Zum Mathematikunterricht 2025, 2025.","chicago":"Garnelo Abellanas, Irene. “Ein Designprinzip Für Lernumgebungen Zu Inter-Aktiven Theorembeweisern.” In <i>Beiträge Zum Mathematikunterricht 2025</i>, 2025.","mla":"Garnelo Abellanas, Irene. “Ein Designprinzip Für Lernumgebungen Zu Inter-Aktiven Theorembeweisern.” <i>Beiträge Zum Mathematikunterricht 2025</i>, 2025.","bibtex":"@inproceedings{Garnelo Abellanas_2025, title={Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern}, booktitle={Beiträge zum Mathematikunterricht 2025}, author={Garnelo Abellanas, Irene}, year={2025} }","ama":"Garnelo Abellanas I. Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern. In: <i>Beiträge Zum Mathematikunterricht 2025</i>. ; 2025."},"publication":"Beiträge zum Mathematikunterricht 2025","department":[{"_id":"979"}],"type":"conference","date_created":"2026-01-15T10:31:16Z","date_updated":"2026-01-15T10:31:29Z","author":[{"id":"93843","first_name":"Irene","last_name":"Garnelo Abellanas","full_name":"Garnelo Abellanas, Irene"}],"status":"public","title":"Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern","year":"2025","user_id":"93843","_id":"63629","language":[{"iso":"eng"}]},{"user_id":"99427","volume":2310,"editor":[{"last_name":"Hiroshima","first_name":"Fumio","full_name":"Hiroshima, Fumio"}],"_id":"47534","status":"public","external_id":{"arxiv":["2309.09005"]},"project":[{"name":"PhoQC: PhoQC: Photonisches Quantencomputing","_id":"266"}],"citation":{"ieee":"B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions,” in <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”</i> 2025, vol. 2310, no. 3.","apa":"Hinrichs, B., &#38; Matte, O. (2025). Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In F. Hiroshima (Ed.), <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics”</i> (Vol. 2310, Issue 3).","short":"B. Hinrichs, O. Matte, in: F. Hiroshima (Ed.), Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” 2025.","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” In <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”</i> edited by Fumio Hiroshima, Vol. 2310. RIMS Kôkyûroku, 2025.","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”</i> edited by Fumio Hiroshima, vol. 2310, no. 3, 2025.","bibtex":"@inproceedings{Hinrichs_Matte_2025, series={RIMS Kôkyûroku}, title={Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions}, volume={2310}, number={3}, booktitle={Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics”}, author={Hinrichs, Benjamin and Matte, Oliver}, editor={Hiroshima, Fumio}, year={2025}, collection={RIMS Kôkyûroku} }","ama":"Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In: Hiroshima F, ed. <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics.”</i> Vol 2310. RIMS Kôkyûroku. ; 2025."},"main_file_link":[{"url":"https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2310.html"}],"series_title":"RIMS Kôkyûroku","language":[{"iso":"eng"}],"date_updated":"2026-01-16T08:55:19Z","intvolume":"      2310","title":"Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions","year":"2025","author":[{"id":"99427","first_name":"Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin"},{"first_name":"Oliver","last_name":"Matte","full_name":"Matte, Oliver"}],"type":"conference","department":[{"_id":"799"},{"_id":"623"}],"date_created":"2023-10-02T06:21:37Z","abstract":[{"text":"In this proceeding we consider a translation invariant Nelson type model in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors in a recent preprint (where several matter particles and exterior\r\npotentials are treated as well). After that, we employ a few technical key\r\nrelations and estimates obtained in our preprint to present an otherwise\r\nself-contained derivation of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian.","lang":"eng"}],"issue":"3","publication":"Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'"},{"_id":"63642","language":[{"iso":"eng"}],"user_id":"99427","author":[{"last_name":"Betz","first_name":"Volker","full_name":"Betz, Volker"},{"id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","first_name":"Benjamin","orcid":"0000-0001-9074-1205"},{"last_name":"Kraft","first_name":"Mino Nicola","full_name":"Kraft, Mino Nicola"},{"last_name":"Polzer","first_name":"Steffen","full_name":"Polzer, Steffen"}],"year":"2025","status":"public","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","date_updated":"2026-01-16T08:57:21Z","date_created":"2026-01-16T08:56:45Z","external_id":{"arxiv":["2501.19362"]},"department":[{"_id":"799"}],"type":"preprint","citation":{"bibtex":"@article{Betz_Hinrichs_Kraft_Polzer_2025, title={On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model}, journal={arXiv:2501.19362}, author={Betz, Volker and Hinrichs, Benjamin and Kraft, Mino Nicola and Polzer, Steffen}, year={2025} }","ama":"Betz V, Hinrichs B, Kraft MN, Polzer S. On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model. <i>arXiv:250119362</i>. Published online 2025.","mla":"Betz, Volker, et al. “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” <i>ArXiv:2501.19362</i>, 2025.","chicago":"Betz, Volker, Benjamin Hinrichs, Mino Nicola Kraft, and Steffen Polzer. “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” <i>ArXiv:2501.19362</i>, 2025.","short":"V. Betz, B. Hinrichs, M.N. Kraft, S. Polzer, ArXiv:2501.19362 (2025).","ieee":"V. Betz, B. Hinrichs, M. N. Kraft, and S. Polzer, “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model,” <i>arXiv:2501.19362</i>. 2025.","apa":"Betz, V., Hinrichs, B., Kraft, M. N., &#38; Polzer, S. (2025). On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model. In <i>arXiv:2501.19362</i>."},"publication":"arXiv:2501.19362","project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"abstract":[{"lang":"eng","text":"We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dimensional continuum Ising model, i.e., to showing that the respective two point function is lower bounded by a strictly positive constant. We can then use known results from percolation theory to establish long range order at large coupling. Combined with the known existence of ground states at small coupling, our result proves that the spin boson model undergoes a phase transition with respect to the coupling strength. We also present an expansion for the vacuum overlap of the spin boson ground state in terms of the Ising $n$-point functions, which implies that the phase transition is unique, i.e., that there is a critical coupling constant below which a ground state exists and above which none can exist."}]},{"user_id":"99427","language":[{"iso":"eng"}],"_id":"63644","date_updated":"2026-01-16T08:59:03Z","title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","year":"2025","status":"public","author":[{"id":"99427","last_name":"Hinrichs","first_name":"Benjamin","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin"},{"first_name":"Jonas","last_name":"Lampart","full_name":"Lampart, Jonas"},{"first_name":"Javier","last_name":"Valentín Martín","full_name":"Valentín Martín, Javier"}],"type":"preprint","department":[{"_id":"799"}],"external_id":{"arxiv":["2502.04876"]},"date_created":"2026-01-16T08:58:25Z","abstract":[{"text":"We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or its rotating-wave approximation. If the state change of the system upon emission or absorption of a boson is either given by a normal matrix or by a 2-nilpotent one, which is the case for the previously named examples, we prove an optimal renormalization result. We complement it, by proving the norm resolvent convergence of appropriately regularized models to the renormalized one. Our method consists of a dressing transformation argument in the normal case and an appropriate interior boundary condition for the 2-nilpotent case.","lang":"eng"}],"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"publication":"arXiv:2502.04876","citation":{"bibtex":"@article{Hinrichs_Lampart_Valentín Martín_2025, title={Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions}, journal={arXiv:2502.04876}, author={Hinrichs, Benjamin and Lampart, Jonas and Valentín Martín, Javier}, year={2025} }","ama":"Hinrichs B, Lampart J, Valentín Martín J. Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions. <i>arXiv:250204876</i>. Published online 2025.","mla":"Hinrichs, Benjamin, et al. “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.” <i>ArXiv:2502.04876</i>, 2025.","short":"B. Hinrichs, J. Lampart, J. Valentín Martín, ArXiv:2502.04876 (2025).","chicago":"Hinrichs, Benjamin, Jonas Lampart, and Javier Valentín Martín. “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.” <i>ArXiv:2502.04876</i>, 2025.","ieee":"B. Hinrichs, J. Lampart, and J. Valentín Martín, “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions,” <i>arXiv:2502.04876</i>. 2025.","apa":"Hinrichs, B., Lampart, J., &#38; Valentín Martín, J. (2025). Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions. In <i>arXiv:2502.04876</i>."}},{"department":[{"_id":"799"}],"type":"preprint","date_created":"2026-01-16T08:57:34Z","external_id":{"arxiv":["2505.19977"]},"abstract":[{"lang":"eng","text":"In this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach, based on the study of a special class of ground states of the van Hove-Miyatake dynamical map is compared with an Hamiltonian renormalization that makes use of a non-unitary dressing transformation. The two approaches are proved to yield equivalent results."}],"citation":{"short":"M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).","chicago":"Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” <i>ArXiv:2505.19977</i>, 2025.","ieee":"M. Falconi and B. Hinrichs, “Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach,” <i>arXiv:2505.19977</i>. 2025.","apa":"Falconi, M., &#38; Hinrichs, B. (2025). Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. In <i>arXiv:2505.19977</i>.","bibtex":"@article{Falconi_Hinrichs_2025, title={Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach}, journal={arXiv:2505.19977}, author={Falconi, Marco and Hinrichs, Benjamin}, year={2025} }","ama":"Falconi M, Hinrichs B. Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. <i>arXiv:250519977</i>. Published online 2025.","mla":"Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” <i>ArXiv:2505.19977</i>, 2025."},"publication":"arXiv:2505.19977","user_id":"99427","_id":"63643","language":[{"iso":"eng"}],"date_updated":"2026-01-16T08:58:12Z","author":[{"full_name":"Falconi, Marco","last_name":"Falconi","first_name":"Marco"},{"full_name":"Hinrichs, Benjamin","first_name":"Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","id":"99427"}],"status":"public","year":"2025","title":"Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach"},{"author":[{"full_name":"Falconi, Marco","first_name":"Marco","last_name":"Falconi"},{"id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","first_name":"Benjamin","orcid":"0000-0001-9074-1205"},{"full_name":"Valentín Martín, Javier","first_name":"Javier","last_name":"Valentín Martín"}],"status":"public","title":"Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors","year":"2025","date_updated":"2026-01-16T09:01:45Z","language":[{"iso":"eng"}],"_id":"63645","user_id":"99427","citation":{"mla":"Falconi, Marco, et al. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” <i>ArXiv:2508.00805</i>, 2025.","ama":"Falconi M, Hinrichs B, Valentín Martín J. Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. <i>arXiv:250800805</i>. Published online 2025.","bibtex":"@article{Falconi_Hinrichs_Valentín Martín_2025, title={Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors}, journal={arXiv:2508.00805}, author={Falconi, Marco and Hinrichs, Benjamin and Valentín Martín, Javier}, year={2025} }","apa":"Falconi, M., Hinrichs, B., &#38; Valentín Martín, J. (2025). Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. In <i>arXiv:2508.00805</i>.","ieee":"M. Falconi, B. Hinrichs, and J. Valentín Martín, “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors,” <i>arXiv:2508.00805</i>. 2025.","short":"M. Falconi, B. Hinrichs, J. Valentín Martín, ArXiv:2508.00805 (2025).","chicago":"Falconi, Marco, Benjamin Hinrichs, and Javier Valentín Martín. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” <i>ArXiv:2508.00805</i>, 2025."},"publication":"arXiv:2508.00805","project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"abstract":[{"lang":"eng","text":"In this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wigner spontaneous emission. The renormalization is performed through both a self-energy and mass renormalization, in the so-called Hamiltonian formalism of constructive quantum field theory, implemented by a non-unitary dressing transformation. This solves the problem of triviality for unitarily-renormalized supercritical spin-boson models."}],"date_created":"2026-01-16T08:59:11Z","external_id":{"arxiv":["2508.00805"]},"department":[{"_id":"799"}],"type":"preprint"},{"type":"preprint","department":[{"_id":"799"}],"external_id":{"arxiv":["2511.02867"]},"date_created":"2026-01-16T08:59:45Z","abstract":[{"lang":"eng","text":"We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected to both rank-one perturbation theory as well as renewal theory. We further apply our results in order to derive criteria for the existence and non-existence of ground states for a finite dimensional quantum system coupled to a bosonic field."}],"project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"publication":"arXiv:2511.02867","citation":{"chicago":"Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” <i>ArXiv:2511.02867</i>, 2025.","short":"B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025).","apa":"Hinrichs, B., &#38; Polzer, S. (2025). Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. In <i>arXiv:2511.02867</i>.","ieee":"B. Hinrichs and S. Polzer, “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems,” <i>arXiv:2511.02867</i>. 2025.","ama":"Hinrichs B, Polzer S. Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. <i>arXiv:251102867</i>. Published online 2025.","bibtex":"@article{Hinrichs_Polzer_2025, title={Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems}, journal={arXiv:2511.02867}, author={Hinrichs, Benjamin and Polzer, Steffen}, year={2025} }","mla":"Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” <i>ArXiv:2511.02867</i>, 2025."},"user_id":"99427","_id":"63646","language":[{"iso":"eng"}],"date_updated":"2026-01-16T09:01:02Z","status":"public","year":"2025","title":"Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems","author":[{"id":"99427","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","first_name":"Benjamin","full_name":"Hinrichs, Benjamin"},{"full_name":"Polzer, Steffen","last_name":"Polzer","first_name":"Steffen"}]},{"language":[{"iso":"eng"}],"_id":"63647","user_id":"99427","status":"public","year":"2025","title":"On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks","author":[{"id":"99427","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","first_name":"Benjamin"},{"full_name":"Mittenbühler, Pascal","last_name":"Mittenbühler","first_name":"Pascal"}],"date_updated":"2026-01-16T09:00:31Z","external_id":{"arxiv":["2511.13409"]},"date_created":"2026-01-16T08:59:54Z","type":"preprint","department":[{"_id":"799"}],"publication":"arXiv:2511.13409","citation":{"bibtex":"@article{Hinrichs_Mittenbühler_2025, title={On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks}, journal={arXiv:2511.13409}, author={Hinrichs, Benjamin and Mittenbühler, Pascal}, year={2025} }","chicago":"Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks.” <i>ArXiv:2511.13409</i>, 2025.","short":"B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (2025).","ama":"Hinrichs B, Mittenbühler P. On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. <i>arXiv:251113409</i>. Published online 2025.","ieee":"B. Hinrichs and P. Mittenbühler, “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks,” <i>arXiv:2511.13409</i>. 2025.","mla":"Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks.” <i>ArXiv:2511.13409</i>, 2025.","apa":"Hinrichs, B., &#38; Mittenbühler, P. (2025). On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. In <i>arXiv:2511.13409</i>."},"abstract":[{"text":"We study the convergence rate of translation-invariant discrete-time quantum dynamics on a one-dimensional lattice. We prove that the cumulative distributions function of the ballistically scaled position $\\mathbb X(n)/{n}$ after $n$ steps converges at a rate of $n^{-1/3}$ in the Lévy metric as $n\\to\\infty$. In the special case of step-coin quantum walks with two-dimensional coin space, we recover the same convergence rate for the supremum distance and prove optimality.","lang":"eng"}],"project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}]},{"issue":"04","publication":"Geometric Mechanics","date_created":"2026-01-16T10:22:21Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"journal_article","publication_identifier":{"issn":["2972-4589","2972-4597"]},"author":[{"id":"178","full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner"},{"last_name":"Schmeding","first_name":"Alexander","full_name":"Schmeding, Alexander"},{"last_name":"Suri","first_name":"Ali","orcid":"https://orcid.org/0000-0002-9682-9037","full_name":"Suri, Ali","id":"89268"}],"year":"2025","title":"Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups","article_type":"original","intvolume":"         1","publication_status":"published","date_updated":"2026-01-16T10:25:34Z","language":[{"iso":"eng"}],"doi":"10.1142/s2972458925500029","citation":{"apa":"Glöckner, H., Schmeding, A., &#38; Suri, A. (2025). Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. <i>Geometric Mechanics</i>, <i>01</i>(04), 383–437. <a href=\"https://doi.org/10.1142/s2972458925500029\">https://doi.org/10.1142/s2972458925500029</a>","ieee":"H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups,” <i>Geometric Mechanics</i>, vol. 01, no. 04, pp. 383–437, 2025, doi: <a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>.","short":"H. Glöckner, A. Schmeding, A. Suri, Geometric Mechanics 01 (2025) 383–437.","chicago":"Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” <i>Geometric Mechanics</i> 01, no. 04 (2025): 383–437. <a href=\"https://doi.org/10.1142/s2972458925500029\">https://doi.org/10.1142/s2972458925500029</a>.","mla":"Glöckner, Helge, et al. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” <i>Geometric Mechanics</i>, vol. 01, no. 04, World Scientific Pub Co Pte Ltd, 2025, pp. 383–437, doi:<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>.","ama":"Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. <i>Geometric Mechanics</i>. 2025;01(04):383-437. doi:<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>","bibtex":"@article{Glöckner_Schmeding_Suri_2025, title={Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups}, volume={01}, DOI={<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>}, number={04}, journal={Geometric Mechanics}, publisher={World Scientific Pub Co Pte Ltd}, author={Glöckner, Helge and Schmeding, Alexander and Suri, Ali}, year={2025}, pages={383–437} }"},"quality_controlled":"1","status":"public","publisher":"World Scientific Pub Co Pte Ltd","_id":"63649","page":"383-437","volume":"01","user_id":"178"},{"citation":{"chicago":"Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs in Zeiten Der Ressourcenvielfalt.” In <i>Beiträge Zum Mathematikunterricht 2025. 58. 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Kovács, IMA Journal of Numerical Analysis (n.d.).","chicago":"Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for Full Discretization of Cahn--Hilliard Equation with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, n.d. <a href=\"https://doi.org/10.1093/imanum/draf009\">https://doi.org/10.1093/imanum/draf009</a>."}},{"publication":"IMA Journal of Numerical Analysis","issue":"5","citation":{"mla":"Edelmann, Dominik, et al. “Numerical Analysis of an Evolving Bulk--Surface Model of Tumour Growth.” <i>IMA Journal of Numerical Analysis</i>, vol. 45, no. 5, 2025, pp. 2581--2627, doi:<a href=\"https://doi.org/10.1093/imanum/drae077\">10.1093/imanum/drae077</a>.","ama":"Edelmann D, Kovács B, Lubich C. Numerical analysis of an evolving bulk--surface model of tumour growth. <i>IMA Journal of Numerical Analysis</i>. 2025;45(5):2581--2627. doi:<a href=\"https://doi.org/10.1093/imanum/drae077\">10.1093/imanum/drae077</a>","bibtex":"@article{Edelmann_Kovács_Lubich_2025, title={Numerical analysis of an evolving bulk--surface model of tumour growth}, volume={45}, DOI={<a href=\"https://doi.org/10.1093/imanum/drae077\">10.1093/imanum/drae077</a>}, number={5}, journal={IMA Journal of Numerical Analysis}, author={Edelmann, Dominik and Kovács, Balázs and Lubich, Christian}, year={2025}, pages={2581--2627} }","apa":"Edelmann, D., Kovács, B., &#38; Lubich, C. (2025). Numerical analysis of an evolving bulk--surface model of tumour growth. <i>IMA Journal of Numerical Analysis</i>, <i>45</i>(5), 2581--2627. <a href=\"https://doi.org/10.1093/imanum/drae077\">https://doi.org/10.1093/imanum/drae077</a>","ieee":"D. Edelmann, B. Kovács, and C. Lubich, “Numerical analysis of an evolving bulk--surface model of tumour growth,” <i>IMA Journal of Numerical Analysis</i>, vol. 45, no. 5, pp. 2581--2627, 2025, doi: <a href=\"https://doi.org/10.1093/imanum/drae077\">10.1093/imanum/drae077</a>.","short":"D. Edelmann, B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 45 (2025) 2581--2627.","chicago":"Edelmann, Dominik, Balázs Kovács, and Christian Lubich. “Numerical Analysis of an Evolving Bulk--Surface Model of Tumour Growth.” <i>IMA Journal of Numerical Analysis</i> 45, no. 5 (2025): 2581--2627. <a href=\"https://doi.org/10.1093/imanum/drae077\">https://doi.org/10.1093/imanum/drae077</a>."},"date_created":"2024-04-03T09:11:36Z","type":"journal_article","department":[{"_id":"841"}],"title":"Numerical analysis of an evolving bulk--surface model of tumour growth","year":"2025","status":"public","author":[{"full_name":"Edelmann, Dominik","last_name":"Edelmann","first_name":"Dominik"},{"full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","first_name":"Balázs","last_name":"Kovács","id":"100441"},{"last_name":"Lubich","first_name":"Christian","full_name":"Lubich, Christian"}],"date_updated":"2026-02-18T14:44:54Z","intvolume":"        45","page":"2581--2627","language":[{"iso":"eng"}],"_id":"53141","doi":"10.1093/imanum/drae077","user_id":"100441","volume":45},{"doi":"10.1093/imanum/draf082.","user_id":"100441","_id":"55781","language":[{"iso":"eng"}],"date_updated":"2026-02-18T14:47:34Z","year":"2025","title":"Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface","status":"public","author":[{"full_name":"Bai, Genming","first_name":"Genming","last_name":"Bai"},{"full_name":"Kovács, Balázs","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","id":"100441"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"}],"type":"journal_article","department":[{"_id":"841"}],"external_id":{"arxiv":["2408.14096"]},"date_created":"2024-08-27T07:37:39Z","abstract":[{"lang":"eng","text":"In this paper, we prove that spatially semi-discrete evolving finite element\r\nmethod for parabolic equations on a given evolving hypersurface of arbitrary\r\ndimensions preserves the maximal $L^p$-regularity at the discrete level. We\r\nfirst establish the results on a stationary surface and then extend them, via a\r\nperturbation argument, to the case where the underlying surface is evolving\r\nunder a prescribed velocity field. The proof combines techniques in evolving\r\nfinite element method, properties of Green's functions on (discretised) closed\r\nsurfaces, and local energy estimates for finite element methods"}],"publication":"IMA Journal of Numerical Analysis","citation":{"chicago":"Bai, Genming, Balázs Kovács, and Buyang Li. “Maximal Regularity of Evolving FEMs for Parabolic Equations on an  Evolving Surface.” <i>IMA Journal of Numerical Analysis</i>, 2025. <a href=\"https://doi.org/10.1093/imanum/draf082.\">https://doi.org/10.1093/imanum/draf082.</a>","short":"G. Bai, B. Kovács, B. Li, IMA Journal of Numerical Analysis (2025).","ieee":"G. Bai, B. Kovács, and B. Li, “Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface,” <i>IMA Journal of Numerical Analysis</i>, 2025, doi: <a href=\"https://doi.org/10.1093/imanum/draf082.\">10.1093/imanum/draf082.</a>","apa":"Bai, G., Kovács, B., &#38; Li, B. (2025). Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/draf082.\">https://doi.org/10.1093/imanum/draf082.</a>","bibtex":"@article{Bai_Kovács_Li_2025, title={Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface}, DOI={<a href=\"https://doi.org/10.1093/imanum/draf082.\">10.1093/imanum/draf082.</a>}, journal={IMA Journal of Numerical Analysis}, author={Bai, Genming and Kovács, Balázs and Li, Buyang}, year={2025} }","ama":"Bai G, Kovács B, Li B. Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface. <i>IMA Journal of Numerical Analysis</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1093/imanum/draf082.\">10.1093/imanum/draf082.</a>","mla":"Bai, Genming, et al. “Maximal Regularity of Evolving FEMs for Parabolic Equations on an  Evolving Surface.” <i>IMA Journal of Numerical Analysis</i>, 2025, doi:<a href=\"https://doi.org/10.1093/imanum/draf082.\">10.1093/imanum/draf082.</a>"}},{"department":[{"_id":"555"}],"type":"journal_article","date_created":"2024-10-22T09:31:19Z","file":[{"success":1,"content_type":"application/pdf","file_id":"64288","date_updated":"2026-02-19T14:14:39Z","relation":"main_file","file_size":443262,"access_level":"closed","file_name":"MSA_hermitsch_published.pdf","date_created":"2026-02-19T14:14:39Z","creator":"llangen"}],"related_material":{"link":[{"url":"https://arxiv.org/abs/2410.10364","relation":"research_paper"}]},"abstract":[{"lang":"eng","text":"We establish a multiresolution analysis on the space $\\text{Herm}(n)$ of\r\n$n\\times n$ complex Hermitian matrices which is adapted to invariance under\r\nconjugation by the unitary group $U(n).$ The orbits under this action are\r\nparametrized by the possible ordered spectra of Hermitian matrices, which\r\nconstitute a closed Weyl chamber of type $A_{n-1}$ in $\\mathbb R^n.$ The space\r\n$L^2(\\text{Herm}(n))^{U(n)}$ of radial, i.e. $U(n)$-invariant $L^2$-functions\r\non $\\text{Herm}(n)$ is naturally identified with a certain weighted $L^2$-space\r\non this chamber.\r\n  The scale spaces of our multiresolution analysis are obtained by usual dyadic\r\ndilations as well as generalized translations of a scaling function, where the\r\ngeneralized translation is a hypergroup translation which respects the radial\r\ngeometry. We provide a concise criterion to characterize orthonormal wavelet\r\nbases and show that such bases always exist. They provide natural orthonormal\r\nbases of the space $L^2(\\text{Herm}(n))^{U(n)}.$\r\n  Furthermore, we show how to obtain radial scaling functions from classical\r\nscaling functions on $\\mathbb R^{n}$. Finally, generalizations related to the\r\nCartan decompositions for general compact Lie groups are indicated."}],"publication":"Indagationes Mathematicae","issue":"6","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.1016/j.indag.2025.03.009"}],"intvolume":"        36","article_type":"original","date_updated":"2026-02-19T14:16:43Z","publication_status":"published","author":[{"full_name":"Langen, Lukas","first_name":"Lukas","last_name":"Langen","id":"73664"},{"id":"37390","first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit"}],"title":"Multiresolution analysis on spectra of hermitian matrices","year":"2025","external_id":{"arxiv":["2410.10364"]},"project":[{"_id":"357","name":"TRR 358 - Ganzzahlige Strukturen in Geometrie und Darstellungstheorie"}],"citation":{"short":"L. Langen, M. Rösler, Indagationes Mathematicae 36 (2025) 1671–1694.","chicago":"Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra of Hermitian Matrices.” <i>Indagationes Mathematicae</i> 36, no. 6 (2025): 1671–94.","ieee":"L. Langen and M. Rösler, “Multiresolution analysis on spectra of hermitian matrices,” <i>Indagationes Mathematicae</i>, vol. 36, no. 6, pp. 1671–1694, 2025.","apa":"Langen, L., &#38; Rösler, M. (2025). Multiresolution analysis on spectra of hermitian matrices. <i>Indagationes Mathematicae</i>, <i>36</i>(6), 1671–1694.","bibtex":"@article{Langen_Rösler_2025, title={Multiresolution analysis on spectra of hermitian matrices}, volume={36}, number={6}, journal={Indagationes Mathematicae}, publisher={Elsevier}, author={Langen, Lukas and Rösler, Margit}, year={2025}, pages={1671–1694} }","ama":"Langen L, Rösler M. Multiresolution analysis on spectra of hermitian matrices. <i>Indagationes Mathematicae</i>. 2025;36(6):1671-1694.","mla":"Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra of Hermitian Matrices.” <i>Indagationes Mathematicae</i>, vol. 36, no. 6, Elsevier, 2025, pp. 1671–94."},"file_date_updated":"2026-02-19T14:14:39Z","volume":36,"ddc":["510"],"user_id":"73664","_id":"56717","publisher":"Elsevier","page":"1671-1694","has_accepted_license":"1","status":"public"},{"intvolume":"       406","date_updated":"2026-02-20T09:41:41Z","publication_status":"published","author":[{"first_name":"Bas","last_name":"Janssens","full_name":"Janssens, Bas"},{"full_name":"Niestijl, Milan","first_name":"Milan","last_name":"Niestijl"}],"publication_identifier":{"issn":["0010-3616","1432-0916"]},"year":"2025","title":"Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms","doi":"10.1007/s00220-024-05226-w","language":[{"iso":"eng"}],"article_number":"45","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\overline{\\rho }$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mover>\r\n                    <mml:mi>ρ</mml:mi>\r\n                    <mml:mo>¯</mml:mo>\r\n                  </mml:mover>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of the Lie group <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$${{\\,\\textrm{Diff}\\,}}_c(M)$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mspace/>\r\n                        <mml:mtext>Diff</mml:mtext>\r\n                        <mml:mspace/>\r\n                      </mml:mrow>\r\n                      <mml:mi>c</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>M</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of compactly supported diffeomorphisms of a smooth manifold <jats:italic>M</jats:italic> that satisfy a so-called generalized positive energy condition. In particular, this captures representations that are in a suitable sense compatible with a KMS state on the von Neumann algebra generated by <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\overline{\\rho }$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mover>\r\n                    <mml:mi>ρ</mml:mi>\r\n                    <mml:mo>¯</mml:mo>\r\n                  </mml:mover>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. We show that if <jats:italic>M</jats:italic> is connected and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\dim (M) &gt; 1$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>dim</mml:mo>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>M</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, then any such representation is necessarily trivial on the identity component <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$${{\\,\\textrm{Diff}\\,}}_c(M)_0$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mspace/>\r\n                        <mml:mtext>Diff</mml:mtext>\r\n                        <mml:mspace/>\r\n                      </mml:mrow>\r\n                      <mml:mi>c</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>M</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. As an intermediate step towards this result, we determine the continuous second Lie algebra cohomology <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$H^2_\\textrm{ct}(\\mathcal {X}_c(M), \\mathbb {R})$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msubsup>\r\n                      <mml:mi>H</mml:mi>\r\n                      <mml:mtext>ct</mml:mtext>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:msubsup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:msub>\r\n                        <mml:mi>X</mml:mi>\r\n                        <mml:mi>c</mml:mi>\r\n                      </mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>M</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>,</mml:mo>\r\n                      <mml:mi>R</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of the Lie algebra of compactly supported vector fields. This is subtly different from Gelfand–Fuks cohomology in view of the compact support condition.</jats:p>"}],"publication":"Communications in Mathematical Physics","issue":"2","department":[{"_id":"93"}],"type":"journal_article","date_created":"2026-02-20T09:33:11Z","status":"public","volume":406,"user_id":"104095","publisher":"Springer Science and Business Media LLC","_id":"64289","citation":{"apa":"Janssens, B., &#38; Niestijl, M. (2025). Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms. <i>Communications in Mathematical Physics</i>, <i>406</i>(2), Article 45. <a href=\"https://doi.org/10.1007/s00220-024-05226-w\">https://doi.org/10.1007/s00220-024-05226-w</a>","ieee":"B. Janssens and M. Niestijl, “Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms,” <i>Communications in Mathematical Physics</i>, vol. 406, no. 2, Art. no. 45, 2025, doi: <a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>.","short":"B. Janssens, M. Niestijl, Communications in Mathematical Physics 406 (2025).","chicago":"Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms.” <i>Communications in Mathematical Physics</i> 406, no. 2 (2025). <a href=\"https://doi.org/10.1007/s00220-024-05226-w\">https://doi.org/10.1007/s00220-024-05226-w</a>.","mla":"Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms.” <i>Communications in Mathematical Physics</i>, vol. 406, no. 2, 45, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>.","ama":"Janssens B, Niestijl M. Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms. <i>Communications in Mathematical Physics</i>. 2025;406(2). doi:<a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>","bibtex":"@article{Janssens_Niestijl_2025, title={Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms}, volume={406}, DOI={<a href=\"https://doi.org/10.1007/s00220-024-05226-w\">10.1007/s00220-024-05226-w</a>}, number={245}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Janssens, Bas and Niestijl, Milan}, year={2025} }"}},{"abstract":[{"lang":"eng","text":"A finite classical polar space of rank $n$ consists of the totally isotropic\r\nsubspaces of a finite vector space over $\\mathbb{F}_q$ equipped with a\r\nnondegenerate form such that $n$ is the maximal dimension of such a subspace. A\r\n$t$-$(n,k,\\lambda)$ design in a finite classical polar space of rank $n$ is a\r\ncollection $Y$ of totally isotropic $k$-spaces such that each totally isotropic\r\n$t$-space is contained in exactly $\\lambda$ members of $Y$. Nontrivial examples\r\nare currently only known for $t\\leq 2$. We show that $t$-$(n,k,\\lambda)$\r\ndesigns in polar spaces exist for all $t$ and $q$ provided that\r\n$k>\\frac{21}{2}t$ and $n$ is sufficiently large enough. The proof is based on a\r\nprobabilistic method by Kuperberg, Lovett, and Peled, and it is thus\r\nnonconstructive."}],"citation":{"bibtex":"@article{Weiß_2025, title={Nontrivial $t$-designs in polar spaces exist for all $t$}, volume={93}, DOI={<a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>}, journal={Des. Codes Cryptogr.}, author={Weiß, Charlene}, year={2025}, pages={971–981} }","ama":"Weiß C. Nontrivial $t$-designs in polar spaces exist for all $t$. <i>Des Codes Cryptogr</i>. 2025;93:971-981. doi:<a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>","mla":"Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” <i>Des. Codes Cryptogr.</i>, vol. 93, 2025, pp. 971–81, doi:<a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>.","short":"C. Weiß, Des. Codes Cryptogr. 93 (2025) 971–981.","chicago":"Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” <i>Des. Codes Cryptogr.</i> 93 (2025): 971–81. <a href=\"https://doi.org/10.1007/s10623-024-01471-1\">https://doi.org/10.1007/s10623-024-01471-1</a>.","ieee":"C. Weiß, “Nontrivial $t$-designs in polar spaces exist for all $t$,” <i>Des. Codes Cryptogr.</i>, vol. 93, pp. 971–981, 2025, doi: <a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>.","apa":"Weiß, C. (2025). Nontrivial $t$-designs in polar spaces exist for all $t$. <i>Des. Codes Cryptogr.</i>, <i>93</i>, 971–981. <a href=\"https://doi.org/10.1007/s10623-024-01471-1\">https://doi.org/10.1007/s10623-024-01471-1</a>"},"publication":"Des. Codes Cryptogr.","department":[{"_id":"100"}],"type":"journal_article","date_created":"2024-01-08T14:39:54Z","intvolume":"        93","date_updated":"2026-02-25T13:51:50Z","publication_status":"published","author":[{"full_name":"Weiß, Charlene","last_name":"Weiß","first_name":"Charlene","id":"70420"}],"status":"public","title":"Nontrivial $t$-designs in polar spaces exist for all $t$","year":"2025","volume":93,"doi":"10.1007/s10623-024-01471-1","user_id":"70420","_id":"50299","language":[{"iso":"eng"}],"page":"971 - 981"}]