--- _id: '63587' author: - first_name: Ali full_name: Suri, Ali id: '89268' last_name: Suri orcid: https://orcid.org/0000-0002-9682-9037 citation: ama: Suri A. Stochastic Euler-Poincaré reduction for central extension. Differential Geometry and its Applications. 2025;101. doi:https://doi.org/10.1016/j.difgeo.2025.102290 apa: Suri, A. (2025). Stochastic Euler-Poincaré reduction for central extension. Differential Geometry and Its Applications, 101. https://doi.org/10.1016/j.difgeo.2025.102290 bibtex: '@article{Suri_2025, title={Stochastic Euler-Poincaré reduction for central extension}, volume={101}, DOI={https://doi.org/10.1016/j.difgeo.2025.102290}, journal={Differential Geometry and its Applications}, publisher={Elsevier}, author={Suri, Ali}, year={2025} }' chicago: Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.” Differential Geometry and Its Applications 101 (2025). https://doi.org/10.1016/j.difgeo.2025.102290. ieee: 'A. Suri, “Stochastic Euler-Poincaré reduction for central extension,” Differential Geometry and its Applications, vol. 101, 2025, doi: https://doi.org/10.1016/j.difgeo.2025.102290.' mla: Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.” Differential Geometry and Its Applications, vol. 101, Elsevier, 2025, doi:https://doi.org/10.1016/j.difgeo.2025.102290. short: A. Suri, Differential Geometry and Its Applications 101 (2025). date_created: 2026-01-13T10:28:17Z date_updated: 2026-01-13T10:54:20Z department: - _id: '10' - _id: '87' - _id: '93' doi: https://doi.org/10.1016/j.difgeo.2025.102290 intvolume: ' 101' language: - iso: eng publication: Differential Geometry and its Applications publisher: Elsevier status: public title: Stochastic Euler-Poincaré reduction for central extension type: journal_article user_id: '89268' volume: 101 year: '2025' ... --- _id: '63589' author: - first_name: Ana Bela full_name: Cruzeiro, Ana Bela last_name: Cruzeiro - first_name: Ali full_name: Suri, Ali id: '89268' last_name: Suri orcid: https://orcid.org/0000-0002-9682-9037 citation: ama: 'Cruzeiro AB, Suri A. Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics. In: Springer; 2025. doi:https://doi.org/10.1007/978-3-032-03921-7_41' apa: Cruzeiro, A. B., & Suri, A. (2025). Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics. https://doi.org/10.1007/978-3-032-03921-7_41 bibtex: '@inproceedings{Cruzeiro_Suri_2025, place={Cham}, title={Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics}, DOI={https://doi.org/10.1007/978-3-032-03921-7_41}, publisher={Springer}, author={Cruzeiro, Ana Bela and Suri, Ali}, year={2025} }' chicago: 'Cruzeiro, Ana Bela, and Ali Suri. “Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics.” Cham: Springer, 2025. https://doi.org/10.1007/978-3-032-03921-7_41.' ieee: 'A. B. Cruzeiro and A. Suri, “Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics,” 2025, doi: https://doi.org/10.1007/978-3-032-03921-7_41.' mla: Cruzeiro, Ana Bela, and Ali Suri. Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics. Springer, 2025, doi:https://doi.org/10.1007/978-3-032-03921-7_41. short: 'A.B. Cruzeiro, A. Suri, in: Springer, Cham, 2025.' date_created: 2026-01-13T10:48:06Z date_updated: 2026-01-13T10:54:11Z department: - _id: '10' - _id: '87' - _id: '93' doi: https://doi.org/10.1007/978-3-032-03921-7_41 language: - iso: eng place: Cham publication_identifier: isbn: - 978-3-032-03920-0 publisher: Springer status: public title: Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics type: conference user_id: '89268' year: '2025' ... --- _id: '63602' abstract: - lang: eng text: We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb R)$. author: - first_name: ' P. W.' full_name: Michor, P. W. last_name: Michor - first_name: Praful full_name: Rahangdale, Praful id: '103300' last_name: Rahangdale citation: ama: Michor P. W., Rahangdale P. Poisson bivectors on infinite dimensional manifolds. Published online 2025. apa: Michor, P. W., & Rahangdale, P. (2025). Poisson bivectors on infinite dimensional manifolds. bibtex: '@article{Michor_Rahangdale_2025, title={Poisson bivectors on infinite dimensional manifolds}, author={Michor, P. W. and Rahangdale, Praful}, year={2025} }' chicago: Michor, P. W., and Praful Rahangdale. “Poisson Bivectors on Infinite Dimensional Manifolds,” 2025. ieee: P. W. Michor and P. Rahangdale, “Poisson bivectors on infinite dimensional manifolds.” 2025. mla: Michor, P. W., and Praful Rahangdale. Poisson Bivectors on Infinite Dimensional Manifolds. 2025. short: P. W. Michor, P. Rahangdale, (2025). date_created: 2026-01-14T01:08:37Z date_updated: 2026-01-14T02:11:51Z department: - _id: '10' - _id: '87' - _id: '93' language: - iso: eng status: public title: Poisson bivectors on infinite dimensional manifolds type: preprint user_id: '103300' year: '2025' ... --- _id: '63622' author: - first_name: Irene full_name: Garnelo Abellanas, Irene id: '93843' last_name: Garnelo Abellanas citation: ama: 'Garnelo Abellanas I. Towards design principles for learning environments based on theorem provers. In: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). ; 2025.' apa: Garnelo Abellanas, I. (2025). Towards design principles for learning environments based on theorem provers. Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). 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} }' chicago: Garnelo Abellanas, Irene. “Towards Design Principles for Learning Environments Based on Theorem Provers.” In Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025. ieee: I. Garnelo Abellanas, “Towards design principles for learning environments based on theorem provers,” 2025. mla: Garnelo Abellanas, Irene. “Towards Design Principles for Learning Environments Based on Theorem Provers.” Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025. short: 'I. Garnelo Abellanas, in: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025.' date_created: 2026-01-15T10:23:32Z date_updated: 2026-01-15T10:23:49Z department: - _id: '979' language: - iso: eng publication: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) status: public title: Towards design principles for learning environments based on theorem provers type: conference user_id: '93843' year: '2025' ... --- _id: '63629' author: - first_name: Irene full_name: Garnelo Abellanas, Irene id: '93843' last_name: Garnelo Abellanas citation: ama: 'Garnelo Abellanas I. Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern. In: Beiträge Zum Mathematikunterricht 2025. ; 2025.' apa: Garnelo Abellanas, I. (2025). Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern. Beiträge Zum Mathematikunterricht 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} }' chicago: Garnelo Abellanas, Irene. “Ein Designprinzip Für Lernumgebungen Zu Inter-Aktiven Theorembeweisern.” In Beiträge Zum Mathematikunterricht 2025, 2025. ieee: I. Garnelo Abellanas, “Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern,” 2025. mla: Garnelo Abellanas, Irene. “Ein Designprinzip Für Lernumgebungen Zu Inter-Aktiven Theorembeweisern.” Beiträge Zum Mathematikunterricht 2025, 2025. short: 'I. Garnelo Abellanas, in: Beiträge Zum Mathematikunterricht 2025, 2025.' date_created: 2026-01-15T10:31:16Z date_updated: 2026-01-15T10:31:29Z department: - _id: '979' language: - iso: eng publication: Beiträge zum Mathematikunterricht 2025 status: public title: Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern type: conference user_id: '93843' year: '2025' ... --- _id: '47534' abstract: - lang: eng 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." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Oliver full_name: Matte, Oliver last_name: Matte citation: ama: 'Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In: Hiroshima F, ed. Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics.” Vol 2310. RIMS Kôkyûroku. ; 2025.' apa: Hinrichs, B., & Matte, O. (2025). Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In F. Hiroshima (Ed.), Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics” (Vol. 2310, Issue 3). 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} }' chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” In Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” edited by Fumio Hiroshima, Vol. 2310. RIMS Kôkyûroku, 2025. ieee: B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions,” in Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” 2025, vol. 2310, no. 3. mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” edited by Fumio Hiroshima, vol. 2310, no. 3, 2025. short: 'B. Hinrichs, O. Matte, in: F. Hiroshima (Ed.), Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” 2025.' date_created: 2023-10-02T06:21:37Z date_updated: 2026-01-16T08:55:19Z department: - _id: '799' - _id: '623' editor: - first_name: Fumio full_name: Hiroshima, Fumio last_name: Hiroshima external_id: arxiv: - '2309.09005' intvolume: ' 2310' issue: '3' language: - iso: eng main_file_link: - url: https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2310.html project: - _id: '266' name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics' series_title: RIMS Kôkyûroku status: public title: Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions type: conference user_id: '99427' volume: 2310 year: '2025' ... --- _id: '63642' 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. author: - first_name: Volker full_name: Betz, Volker last_name: Betz - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Mino Nicola full_name: Kraft, Mino Nicola last_name: Kraft - first_name: Steffen full_name: Polzer, Steffen last_name: Polzer citation: ama: Betz V, Hinrichs B, Kraft MN, Polzer S. On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model. arXiv:250119362. Published online 2025. apa: Betz, V., Hinrichs, B., Kraft, M. N., & Polzer, S. (2025). On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model. In arXiv:2501.19362. 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} }' chicago: Betz, Volker, Benjamin Hinrichs, Mino Nicola Kraft, and Steffen Polzer. “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” 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,” arXiv:2501.19362. 2025. mla: Betz, Volker, et al. “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” ArXiv:2501.19362, 2025. short: V. Betz, B. Hinrichs, M.N. Kraft, S. Polzer, ArXiv:2501.19362 (2025). date_created: 2026-01-16T08:56:45Z date_updated: 2026-01-16T08:57:21Z department: - _id: '799' external_id: arxiv: - '2501.19362' language: - iso: eng project: - _id: '266' name: 'PhoQC: Photonisches Quantencomputing' publication: arXiv:2501.19362 status: public title: On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model type: preprint user_id: '99427' year: '2025' ... --- _id: '63644' abstract: - lang: eng 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. author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Jonas full_name: Lampart, Jonas last_name: Lampart - first_name: Javier full_name: Valentín Martín, Javier last_name: Valentín Martín citation: ama: Hinrichs B, Lampart J, Valentín Martín J. Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions. arXiv:250204876. Published online 2025. apa: Hinrichs, B., Lampart, J., & Valentín Martín, J. (2025). Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions. In arXiv:2502.04876. 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} }' chicago: Hinrichs, Benjamin, Jonas Lampart, and Javier Valentín Martín. “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.” ArXiv:2502.04876, 2025. ieee: B. Hinrichs, J. Lampart, and J. Valentín Martín, “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions,” arXiv:2502.04876. 2025. mla: Hinrichs, Benjamin, et al. “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.” ArXiv:2502.04876, 2025. short: B. Hinrichs, J. Lampart, J. Valentín Martín, ArXiv:2502.04876 (2025). date_created: 2026-01-16T08:58:25Z date_updated: 2026-01-16T08:59:03Z department: - _id: '799' external_id: arxiv: - '2502.04876' language: - iso: eng project: - _id: '266' name: 'PhoQC: Photonisches Quantencomputing' publication: arXiv:2502.04876 status: public title: Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions type: preprint user_id: '99427' year: '2025' ... --- _id: '63643' 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. author: - first_name: Marco full_name: Falconi, Marco last_name: Falconi - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 citation: ama: 'Falconi M, Hinrichs B. Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. arXiv:250519977. Published online 2025.' apa: 'Falconi, M., & Hinrichs, B. (2025). Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. In arXiv:2505.19977.' 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} }' chicago: 'Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977, 2025.' ieee: 'M. Falconi and B. Hinrichs, “Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach,” arXiv:2505.19977. 2025.' mla: 'Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977, 2025.' short: M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025). date_created: 2026-01-16T08:57:34Z date_updated: 2026-01-16T08:58:12Z department: - _id: '799' external_id: arxiv: - '2505.19977' language: - iso: eng publication: arXiv:2505.19977 status: public title: 'Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach' type: preprint user_id: '99427' year: '2025' ... --- _id: '63645' 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. author: - first_name: Marco full_name: Falconi, Marco last_name: Falconi - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Javier full_name: Valentín Martín, Javier last_name: Valentín Martín citation: ama: Falconi M, Hinrichs B, Valentín Martín J. Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. arXiv:250800805. Published online 2025. apa: Falconi, M., Hinrichs, B., & Valentín Martín, J. (2025). Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. In arXiv:2508.00805. 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} }' chicago: Falconi, Marco, Benjamin Hinrichs, and Javier Valentín Martín. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” ArXiv:2508.00805, 2025. ieee: M. Falconi, B. Hinrichs, and J. Valentín Martín, “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors,” arXiv:2508.00805. 2025. mla: Falconi, Marco, et al. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” ArXiv:2508.00805, 2025. short: M. Falconi, B. Hinrichs, J. Valentín Martín, ArXiv:2508.00805 (2025). date_created: 2026-01-16T08:59:11Z date_updated: 2026-01-16T09:01:45Z department: - _id: '799' external_id: arxiv: - '2508.00805' language: - iso: eng project: - _id: '266' name: 'PhoQC: Photonisches Quantencomputing' publication: arXiv:2508.00805 status: public title: Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors type: preprint user_id: '99427' year: '2025' ... --- _id: '63646' 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. author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Steffen full_name: Polzer, Steffen last_name: Polzer citation: ama: Hinrichs B, Polzer S. Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. arXiv:251102867. Published online 2025. apa: Hinrichs, B., & Polzer, S. (2025). Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. In arXiv:2511.02867. 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} }' chicago: Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” ArXiv:2511.02867, 2025. ieee: B. Hinrichs and S. Polzer, “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems,” arXiv:2511.02867. 2025. mla: Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” ArXiv:2511.02867, 2025. short: B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025). date_created: 2026-01-16T08:59:45Z date_updated: 2026-01-16T09:01:02Z department: - _id: '799' external_id: arxiv: - '2511.02867' language: - iso: eng project: - _id: '266' name: 'PhoQC: Photonisches Quantencomputing' publication: arXiv:2511.02867 status: public title: Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems type: preprint user_id: '99427' year: '2025' ... --- _id: '63647' abstract: - lang: eng 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. author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Pascal full_name: Mittenbühler, Pascal last_name: Mittenbühler citation: ama: Hinrichs B, Mittenbühler P. On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. arXiv:251113409. Published online 2025. apa: Hinrichs, B., & Mittenbühler, P. (2025). On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. In arXiv:2511.13409. 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.” ArXiv:2511.13409, 2025. ieee: B. Hinrichs and P. Mittenbühler, “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks,” arXiv:2511.13409. 2025. mla: Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks.” ArXiv:2511.13409, 2025. short: B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (2025). date_created: 2026-01-16T08:59:54Z date_updated: 2026-01-16T09:00:31Z department: - _id: '799' external_id: arxiv: - '2511.13409' language: - iso: eng project: - _id: '266' name: 'PhoQC: Photonisches Quantencomputing' publication: arXiv:2511.13409 status: public title: On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks type: preprint user_id: '99427' year: '2025' ... --- _id: '63649' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding - first_name: Ali full_name: Suri, Ali id: '89268' last_name: Suri orcid: https://orcid.org/0000-0002-9682-9037 citation: ama: Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics. 2025;01(04):383-437. doi:10.1142/s2972458925500029 apa: Glöckner, H., Schmeding, A., & Suri, A. (2025). Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics, 01(04), 383–437. https://doi.org/10.1142/s2972458925500029 bibtex: '@article{Glöckner_Schmeding_Suri_2025, title={Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups}, volume={01}, DOI={10.1142/s2972458925500029}, 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} }' chicago: 'Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric Mechanics 01, no. 04 (2025): 383–437. https://doi.org/10.1142/s2972458925500029.' ieee: 'H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups,” Geometric Mechanics, vol. 01, no. 04, pp. 383–437, 2025, doi: 10.1142/s2972458925500029.' mla: Glöckner, Helge, et al. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric Mechanics, vol. 01, no. 04, World Scientific Pub Co Pte Ltd, 2025, pp. 383–437, doi:10.1142/s2972458925500029. short: H. Glöckner, A. Schmeding, A. Suri, Geometric Mechanics 01 (2025) 383–437. date_created: 2026-01-16T10:22:21Z date_updated: 2026-01-16T10:25:34Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1142/s2972458925500029 intvolume: ' 1' issue: '04' language: - iso: eng page: 383-437 publication: Geometric Mechanics publication_identifier: issn: - 2972-4589 - 2972-4597 publication_status: published publisher: World Scientific Pub Co Pte Ltd quality_controlled: '1' status: public title: Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups type: journal_article user_id: '178' volume: '01' year: '2025' ... --- _id: '63697' author: - first_name: Lea full_name: Stallmeister, Lea id: '63369' last_name: Stallmeister - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat citation: ama: 'Stallmeister L, Rezat S. Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt. In: Schick L, Platz M, Lambert A, eds. Beiträge Zum Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. WTM-Verlag; 2025. doi:10.17877/DE290R-26373' apa: Stallmeister, L., & Rezat, S. (2025). Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt. In L. Schick, M. Platz, & A. Lambert (Eds.), Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik. WTM-Verlag. https://doi.org/10.17877/DE290R-26373 bibtex: '@inproceedings{Stallmeister_Rezat_2025, title={Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt}, DOI={10.17877/DE290R-26373}, booktitle={Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM-Verlag}, author={Stallmeister, Lea and Rezat, Sebastian}, editor={Schick, Lisa and Platz, Melanie and Lambert, Anselm}, year={2025} }' chicago: Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs in Zeiten Der Ressourcenvielfalt.” In Beiträge Zum Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Lisa Schick, Melanie Platz, and Anselm Lambert. WTM-Verlag, 2025. https://doi.org/10.17877/DE290R-26373. ieee: 'L. Stallmeister and S. Rezat, “Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt,” in Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Universität des Saarlandes, Saarbrücken, 2025, doi: 10.17877/DE290R-26373.' mla: Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs in Zeiten Der Ressourcenvielfalt.” Beiträge Zum Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Lisa Schick et al., WTM-Verlag, 2025, doi:10.17877/DE290R-26373. short: 'L. Stallmeister, S. Rezat, in: L. Schick, M. Platz, A. Lambert (Eds.), Beiträge Zum Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM-Verlag, 2025.' conference: location: Universität des Saarlandes, Saarbrücken name: 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik date_created: 2026-01-22T08:30:16Z date_updated: 2026-01-22T08:36:01Z department: - _id: '98' doi: 10.17877/DE290R-26373 editor: - first_name: Lisa full_name: Schick, Lisa last_name: Schick - first_name: Melanie full_name: Platz, Melanie last_name: Platz - first_name: Anselm full_name: Lambert, Anselm last_name: Lambert language: - iso: eng main_file_link: - open_access: '1' url: http://dx.doi.org/10.17877/DE290R-26373 oa: '1' publication: Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik publisher: WTM-Verlag status: public title: Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt type: conference user_id: '63369' year: '2025' ... --- _id: '62062' author: - first_name: Inga full_name: Neufeld, Inga id: '61635' last_name: Neufeld - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide orcid: 0000-0001-6278-4240 citation: ama: 'Neufeld I, Häsel-Weide U. Learning support practices in the fostering of basic arithmetic skills. In: Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik M, Free University of Bozen-Bolzano an ERME, eds. Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). ; 2025.' apa: Neufeld, I., & Häsel-Weide, U. (2025). Learning support practices in the fostering of basic arithmetic skills. In M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, & Free University of Bozen-Bolzano an ERME (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). bibtex: '@inproceedings{Neufeld_Häsel-Weide_2025, title={Learning support practices in the fostering of basic arithmetic skills}, booktitle={Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}, author={Neufeld, Inga and Häsel-Weide, Uta}, editor={Bosch, M. and Bolondi, G. and Carreira, S. and Spagnolo, C. and Gaidoschik, M. and Free University of Bozen-Bolzano an ERME}, year={2025} }' chicago: Neufeld, Inga, and Uta Häsel-Weide. “Learning Support Practices in the Fostering of Basic Arithmetic Skills.” In Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), edited by M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, and Free University of Bozen-Bolzano an ERME, 2025. ieee: I. Neufeld and U. Häsel-Weide, “Learning support practices in the fostering of basic arithmetic skills,” in Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), Bozen, Italy, 2025. mla: Neufeld, Inga, and Uta Häsel-Weide. “Learning Support Practices in the Fostering of Basic Arithmetic Skills.” Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), edited by M. Bosch et al., 2025. short: 'I. Neufeld, U. Häsel-Weide, in: M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, Free University of Bozen-Bolzano an ERME (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025.' conference: location: Bozen, Italy name: Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) corporate_editor: - Free University of Bozen-Bolzano an ERME date_created: 2025-11-04T09:00:29Z date_updated: 2026-01-22T10:20:49Z department: - _id: '543' editor: - first_name: M. full_name: Bosch, M. last_name: Bosch - first_name: G. full_name: Bolondi, G. last_name: Bolondi - first_name: S. full_name: Carreira, S. last_name: Carreira - first_name: C. full_name: Spagnolo, C. last_name: Spagnolo - first_name: M. full_name: Gaidoschik, M. last_name: Gaidoschik language: - iso: eng publication: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) related_material: link: - relation: confirmation url: 'https://hal.science/hal-05293284 ' status: public title: Learning support practices in the fostering of basic arithmetic skills type: conference user_id: '44184' year: '2025' ... --- _id: '62063' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide orcid: 0000-0001-6278-4240 - first_name: Marcus full_name: Nührenbörger, Marcus last_name: Nührenbörger citation: ama: 'Häsel-Weide U, Nührenbörger M. Practices in math discourses in inclusive primary school. In: Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik M, Free University of Bozen-Bolzano an ERME, eds. Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). ; 2025.' apa: Häsel-Weide, U., & Nührenbörger, M. (2025). Practices in math discourses in inclusive primary school. In M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, & Free University of Bozen-Bolzano an ERME (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). bibtex: '@inproceedings{Häsel-Weide_Nührenbörger_2025, title={Practices in math discourses in inclusive primary school}, booktitle={Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}, author={Häsel-Weide, Uta and Nührenbörger, Marcus}, editor={Bosch, M. and Bolondi, G. and Carreira, S. and Spagnolo, C. and Gaidoschik, M. and Free University of Bozen-Bolzano an ERME}, year={2025} }' chicago: Häsel-Weide, Uta, and Marcus Nührenbörger. “Practices in Math Discourses in Inclusive Primary School.” In Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), edited by M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, and Free University of Bozen-Bolzano an ERME, 2025. ieee: U. Häsel-Weide and M. Nührenbörger, “Practices in math discourses in inclusive primary school,” in Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), Bozen, Italy, 2025. mla: Häsel-Weide, Uta, and Marcus Nührenbörger. “Practices in Math Discourses in Inclusive Primary School.” Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), edited by M. Bosch et al., 2025. short: 'U. Häsel-Weide, M. Nührenbörger, in: M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, Free University of Bozen-Bolzano an ERME (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025.' conference: location: Bozen, Italy name: Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) corporate_editor: - Free University of Bozen-Bolzano an ERME date_created: 2025-11-04T09:03:20Z date_updated: 2026-01-22T10:20:55Z department: - _id: '543' editor: - first_name: M. full_name: Bosch, M. last_name: Bosch - first_name: G. full_name: Bolondi, G. last_name: Bolondi - first_name: S. full_name: Carreira, S. last_name: Carreira - first_name: C. full_name: Spagnolo, C. last_name: Spagnolo - first_name: M. full_name: Gaidoschik, M. last_name: Gaidoschik language: - iso: eng publication: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) related_material: link: - relation: confirmation url: 'https://hal.science/hal-05285878 ' status: public title: Practices in math discourses in inclusive primary school type: conference user_id: '44184' year: '2025' ... --- _id: '63730' author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Hedwig full_name: Gasteiger, Hedwig last_name: Gasteiger - first_name: Bernd full_name: Lastering, Bernd last_name: Lastering - first_name: Theresa full_name: Schopferer, Theresa last_name: Schopferer - first_name: Detlev full_name: Zech, Detlev last_name: Zech citation: ama: 'Bruns J, Gasteiger H, Lastering B, Schopferer T, Zech D. Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken. In: Pudenz S, Schoell O, Cleef M, eds. 25 Jahre Berufskolleg - Wegspuren Und Zukunftspfade. wbv; 2025:175-188.' apa: Bruns, J., Gasteiger, H., Lastering, B., Schopferer, T., & Zech, D. (2025). Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken. In S. Pudenz, O. Schoell, & M. Cleef (Eds.), 25 Jahre Berufskolleg - Wegspuren und Zukunftspfade (pp. 175–188). wbv. bibtex: '@inbook{Bruns_Gasteiger_Lastering_Schopferer_Zech_2025, place={Bielefeld}, title={Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken}, booktitle={25 Jahre Berufskolleg - Wegspuren und Zukunftspfade}, publisher={wbv}, author={Bruns, Julia and Gasteiger, Hedwig and Lastering, Bernd and Schopferer, Theresa and Zech, Detlev}, editor={Pudenz, Stephanie and Schoell, Oliver and Cleef, Maria}, year={2025}, pages={175–188} }' chicago: 'Bruns, Julia, Hedwig Gasteiger, Bernd Lastering, Theresa Schopferer, and Detlev Zech. “Frühe Mathematische Bildung Als Ausbildungsinhalt Der Erzieherinnen- Und Erzieher-Ausbildung Stärken.” In 25 Jahre Berufskolleg - Wegspuren Und Zukunftspfade, edited by Stephanie Pudenz, Oliver Schoell, and Maria Cleef, 175–88. Bielefeld: wbv, 2025.' ieee: 'J. Bruns, H. Gasteiger, B. Lastering, T. Schopferer, and D. Zech, “Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken,” in 25 Jahre Berufskolleg - Wegspuren und Zukunftspfade, S. Pudenz, O. Schoell, and M. Cleef, Eds. Bielefeld: wbv, 2025, pp. 175–188.' mla: Bruns, Julia, et al. “Frühe Mathematische Bildung Als Ausbildungsinhalt Der Erzieherinnen- Und Erzieher-Ausbildung Stärken.” 25 Jahre Berufskolleg - Wegspuren Und Zukunftspfade, edited by Stephanie Pudenz et al., wbv, 2025, pp. 175–88. short: 'J. Bruns, H. Gasteiger, B. Lastering, T. Schopferer, D. Zech, in: S. Pudenz, O. Schoell, M. Cleef (Eds.), 25 Jahre Berufskolleg - Wegspuren Und Zukunftspfade, wbv, Bielefeld, 2025, pp. 175–188.' date_created: 2026-01-26T11:23:48Z date_updated: 2026-01-26T11:23:55Z department: - _id: '611' editor: - first_name: Stephanie full_name: Pudenz, Stephanie last_name: Pudenz - first_name: Oliver full_name: Schoell, Oliver last_name: Schoell - first_name: Maria full_name: Cleef, Maria last_name: Cleef language: - iso: eng page: 175-188 place: Bielefeld publication: 25 Jahre Berufskolleg - Wegspuren und Zukunftspfade publisher: wbv status: public title: Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken type: book_chapter user_id: '72183' year: '2025' ... --- _id: '55459' article_type: original author: - first_name: Nils full_name: Bullerjahn, Nils id: '103797' last_name: Bullerjahn orcid: https://orcid.org/0009-0003-8460-1574 - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 citation: ama: Bullerjahn N, Kovács B. Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis. doi:10.1093/imanum/draf009 apa: Bullerjahn, N., & Kovács, B. (n.d.). Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/draf009 bibtex: '@article{Bullerjahn_Kovács, title={Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions}, DOI={10.1093/imanum/draf009}, journal={IMA Journal of Numerical Analysis}, author={Bullerjahn, Nils and Kovács, Balázs} }' chicago: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for Full Discretization of Cahn--Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis, n.d. https://doi.org/10.1093/imanum/draf009. ieee: 'N. Bullerjahn and B. Kovács, “Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions,” IMA Journal of Numerical Analysis, doi: 10.1093/imanum/draf009.' mla: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for Full Discretization of Cahn--Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis, doi:10.1093/imanum/draf009. short: N. Bullerjahn, B. Kovács, IMA Journal of Numerical Analysis (n.d.). date_created: 2024-07-31T09:03:45Z date_updated: 2026-02-18T14:46:18Z department: - _id: '841' doi: 10.1093/imanum/draf009 language: - iso: eng publication: IMA Journal of Numerical Analysis publication_status: accepted status: public title: Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions type: journal_article user_id: '100441' year: '2025' ... --- _id: '53141' author: - first_name: Dominik full_name: Edelmann, Dominik last_name: Edelmann - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 - first_name: Christian full_name: Lubich, Christian last_name: Lubich citation: ama: Edelmann D, Kovács B, Lubich C. Numerical analysis of an evolving bulk--surface model of tumour growth. IMA Journal of Numerical Analysis. 2025;45(5):2581--2627. doi:10.1093/imanum/drae077 apa: Edelmann, D., Kovács, B., & Lubich, C. (2025). Numerical analysis of an evolving bulk--surface model of tumour growth. IMA Journal of Numerical Analysis, 45(5), 2581--2627. https://doi.org/10.1093/imanum/drae077 bibtex: '@article{Edelmann_Kovács_Lubich_2025, title={Numerical analysis of an evolving bulk--surface model of tumour growth}, volume={45}, DOI={10.1093/imanum/drae077}, number={5}, journal={IMA Journal of Numerical Analysis}, author={Edelmann, Dominik and Kovács, Balázs and Lubich, Christian}, year={2025}, pages={2581--2627} }' chicago: 'Edelmann, Dominik, Balázs Kovács, and Christian Lubich. “Numerical Analysis of an Evolving Bulk--Surface Model of Tumour Growth.” IMA Journal of Numerical Analysis 45, no. 5 (2025): 2581--2627. https://doi.org/10.1093/imanum/drae077.' ieee: 'D. Edelmann, B. Kovács, and C. Lubich, “Numerical analysis of an evolving bulk--surface model of tumour growth,” IMA Journal of Numerical Analysis, vol. 45, no. 5, pp. 2581--2627, 2025, doi: 10.1093/imanum/drae077.' mla: Edelmann, Dominik, et al. “Numerical Analysis of an Evolving Bulk--Surface Model of Tumour Growth.” IMA Journal of Numerical Analysis, vol. 45, no. 5, 2025, pp. 2581--2627, doi:10.1093/imanum/drae077. short: D. Edelmann, B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 45 (2025) 2581--2627. date_created: 2024-04-03T09:11:36Z date_updated: 2026-02-18T14:44:54Z department: - _id: '841' doi: 10.1093/imanum/drae077 intvolume: ' 45' issue: '5' language: - iso: eng page: 2581--2627 publication: IMA Journal of Numerical Analysis status: public title: Numerical analysis of an evolving bulk--surface model of tumour growth type: journal_article user_id: '100441' volume: 45 year: '2025' ... --- _id: '55781' 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" author: - first_name: Genming full_name: Bai, Genming last_name: Bai - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 - first_name: Buyang full_name: Li, Buyang last_name: Li citation: ama: Bai G, Kovács B, Li B. Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface. IMA Journal of Numerical Analysis. Published online 2025. doi:10.1093/imanum/draf082. apa: Bai, G., Kovács, B., & Li, B. (2025). Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/draf082. bibtex: '@article{Bai_Kovács_Li_2025, title={Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface}, DOI={10.1093/imanum/draf082.}, journal={IMA Journal of Numerical Analysis}, author={Bai, Genming and Kovács, Balázs and Li, Buyang}, year={2025} }' chicago: Bai, Genming, Balázs Kovács, and Buyang Li. “Maximal Regularity of Evolving FEMs for Parabolic Equations on an  Evolving Surface.” IMA Journal of Numerical Analysis, 2025. https://doi.org/10.1093/imanum/draf082. ieee: 'G. Bai, B. Kovács, and B. Li, “Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface,” IMA Journal of Numerical Analysis, 2025, doi: 10.1093/imanum/draf082.' mla: Bai, Genming, et al. “Maximal Regularity of Evolving FEMs for Parabolic Equations on an  Evolving Surface.” IMA Journal of Numerical Analysis, 2025, doi:10.1093/imanum/draf082. short: G. Bai, B. Kovács, B. Li, IMA Journal of Numerical Analysis (2025). date_created: 2024-08-27T07:37:39Z date_updated: 2026-02-18T14:47:34Z department: - _id: '841' doi: 10.1093/imanum/draf082. external_id: arxiv: - '2408.14096' language: - iso: eng publication: IMA Journal of Numerical Analysis status: public title: Maximal regularity of evolving FEMs for parabolic equations on an evolving surface type: journal_article user_id: '100441' year: '2025' ...