[{"status":"public","publication":"Differential Geometry and its Applications","type":"journal_article","language":[{"iso":"eng"}],"_id":"63587","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"89268","year":"2025","intvolume":"       101","citation":{"bibtex":"@article{Suri_2025, title={Stochastic Euler-Poincaré reduction for central extension}, volume={101}, DOI={<a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>}, journal={Differential Geometry and its Applications}, publisher={Elsevier}, author={Suri, Ali}, year={2025} }","mla":"Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.” <i>Differential Geometry and Its Applications</i>, vol. 101, Elsevier, 2025, doi:<a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>.","short":"A. Suri, Differential Geometry and Its Applications 101 (2025).","apa":"Suri, A. (2025). Stochastic Euler-Poincaré reduction for central extension. <i>Differential Geometry and Its Applications</i>, <i>101</i>. <a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>","ama":"Suri A. Stochastic Euler-Poincaré reduction for central extension. <i>Differential Geometry and its Applications</i>. 2025;101. doi:<a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>","chicago":"Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.” <i>Differential Geometry and Its Applications</i> 101 (2025). <a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>.","ieee":"A. Suri, “Stochastic Euler-Poincaré reduction for central extension,” <i>Differential Geometry and its Applications</i>, vol. 101, 2025, doi: <a href=\"https://doi.org/10.1016/j.difgeo.2025.102290\">https://doi.org/10.1016/j.difgeo.2025.102290</a>."},"title":"Stochastic Euler-Poincaré reduction for central extension","doi":"https://doi.org/10.1016/j.difgeo.2025.102290","publisher":"Elsevier","date_updated":"2026-01-13T10:54:20Z","volume":101,"author":[{"first_name":"Ali","id":"89268","full_name":"Suri, Ali","orcid":"https://orcid.org/0000-0002-9682-9037","last_name":"Suri"}],"date_created":"2026-01-13T10:28:17Z"},{"publisher":"Springer","date_updated":"2026-01-13T10:54:11Z","author":[{"first_name":"Ana Bela","last_name":"Cruzeiro","full_name":"Cruzeiro, Ana Bela"},{"id":"89268","full_name":"Suri, Ali","orcid":"https://orcid.org/0000-0002-9682-9037","last_name":"Suri","first_name":"Ali"}],"date_created":"2026-01-13T10:48:06Z","title":"Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics","doi":"https://doi.org/10.1007/978-3-032-03921-7_41","publication_identifier":{"isbn":["978-3-032-03920-0"]},"place":"Cham","year":"2025","citation":{"apa":"Cruzeiro, A. B., &#38; Suri, A. (2025). <i>Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics</i>. <a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>","bibtex":"@inproceedings{Cruzeiro_Suri_2025, place={Cham}, title={Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics}, DOI={<a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>}, publisher={Springer}, author={Cruzeiro, Ana Bela and Suri, Ali}, year={2025} }","short":"A.B. Cruzeiro, A. Suri, in: Springer, Cham, 2025.","mla":"Cruzeiro, Ana Bela, and Ali Suri. <i>Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics</i>. Springer, 2025, doi:<a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>.","chicago":"Cruzeiro, Ana Bela, and Ali Suri. “Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics.” Cham: Springer, 2025. <a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>.","ieee":"A. B. Cruzeiro and A. Suri, “Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics,” 2025, doi: <a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>.","ama":"Cruzeiro AB, Suri A. Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics. In: Springer; 2025. doi:<a href=\"https://doi.org/10.1007/978-3-032-03921-7_41\">https://doi.org/10.1007/978-3-032-03921-7_41</a>"},"_id":"63589","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"89268","language":[{"iso":"eng"}],"type":"conference","status":"public"},{"type":"preprint","abstract":[{"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 $L_{skew}^2(T^*M,\\mathbb R)$.","lang":"eng"}],"status":"public","_id":"63602","user_id":"103300","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"language":[{"iso":"eng"}],"year":"2025","citation":{"short":"P. W. Michor, P. Rahangdale, (2025).","bibtex":"@article{Michor_Rahangdale_2025, title={Poisson bivectors on infinite dimensional manifolds}, author={Michor,  P. W. and Rahangdale, Praful}, year={2025} }","mla":"Michor,  P. W., and Praful Rahangdale. <i>Poisson Bivectors on Infinite Dimensional Manifolds</i>. 2025.","apa":"Michor,  P. W., &#38; Rahangdale, P. (2025). <i>Poisson bivectors on infinite dimensional manifolds</i>.","ama":"Michor  P. W., Rahangdale P. Poisson bivectors on infinite dimensional manifolds. Published online 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."},"date_updated":"2026-01-14T02:11:51Z","author":[{"full_name":"Michor,  P. W.","last_name":"Michor","first_name":" P. W."},{"id":"103300","full_name":"Rahangdale, Praful","last_name":"Rahangdale","first_name":"Praful"}],"date_created":"2026-01-14T01:08:37Z","title":"Poisson bivectors on infinite dimensional manifolds"},{"status":"public","type":"conference","publication":"Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)","language":[{"iso":"eng"}],"user_id":"93843","department":[{"_id":"979"}],"_id":"63622","citation":{"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>.","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} }","short":"I. Garnelo Abellanas, in: Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), 2025.","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.","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.","ieee":"I. Garnelo Abellanas, “Towards design principles for learning environments based on theorem provers,” 2025."},"year":"2025","title":"Towards design principles for learning environments based on theorem provers","date_created":"2026-01-15T10:23:32Z","author":[{"first_name":"Irene","last_name":"Garnelo Abellanas","full_name":"Garnelo Abellanas, Irene","id":"93843"}],"date_updated":"2026-01-15T10:23:49Z"},{"department":[{"_id":"979"}],"date_created":"2026-01-15T10:31:16Z","user_id":"93843","author":[{"first_name":"Irene","id":"93843","full_name":"Garnelo Abellanas, Irene","last_name":"Garnelo Abellanas"}],"_id":"63629","date_updated":"2026-01-15T10:31:29Z","language":[{"iso":"eng"}],"title":"Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern","publication":"Beiträge zum Mathematikunterricht 2025","type":"conference","status":"public","citation":{"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} }","short":"I. Garnelo Abellanas, in: Beiträge Zum Mathematikunterricht 2025, 2025.","apa":"Garnelo Abellanas, I. (2025). Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern. <i>Beiträge Zum Mathematikunterricht 2025</i>.","ama":"Garnelo Abellanas I. Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern. In: <i>Beiträge Zum Mathematikunterricht 2025</i>. ; 2025.","chicago":"Garnelo Abellanas, Irene. “Ein Designprinzip Für Lernumgebungen Zu Inter-Aktiven Theorembeweisern.” In <i>Beiträge Zum Mathematikunterricht 2025</i>, 2025.","ieee":"I. Garnelo Abellanas, “Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern,” 2025."},"year":"2025"},{"title":"Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions","date_created":"2023-10-02T06:21:37Z","year":"2025","issue":"3","language":[{"iso":"eng"}],"external_id":{"arxiv":["2309.09005"]},"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."}],"publication":"Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'","main_file_link":[{"url":"https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2310.html"}],"volume":2310,"author":[{"first_name":"Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","id":"99427","full_name":"Hinrichs, Benjamin"},{"last_name":"Matte","full_name":"Matte, Oliver","first_name":"Oliver"}],"date_updated":"2026-01-16T08:55:19Z","intvolume":"      2310","citation":{"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.","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.","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.","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).","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} }","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.","short":"B. Hinrichs, O. Matte, in: F. Hiroshima (Ed.), Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” 2025."},"department":[{"_id":"799"},{"_id":"623"}],"series_title":"RIMS Kôkyûroku","user_id":"99427","_id":"47534","project":[{"name":"PhoQC: PhoQC: Photonisches Quantencomputing","_id":"266"}],"status":"public","editor":[{"first_name":"Fumio","full_name":"Hiroshima, Fumio","last_name":"Hiroshima"}],"type":"conference"},{"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"_id":"63642","external_id":{"arxiv":["2501.19362"]},"user_id":"99427","department":[{"_id":"799"}],"language":[{"iso":"eng"}],"type":"preprint","publication":"arXiv:2501.19362","abstract":[{"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.","lang":"eng"}],"status":"public","date_updated":"2026-01-16T08:57:21Z","date_created":"2026-01-16T08:56:45Z","author":[{"last_name":"Betz","full_name":"Betz, Volker","first_name":"Volker"},{"full_name":"Hinrichs, Benjamin","id":"99427","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","first_name":"Benjamin"},{"full_name":"Kraft, Mino Nicola","last_name":"Kraft","first_name":"Mino Nicola"},{"full_name":"Polzer, Steffen","last_name":"Polzer","first_name":"Steffen"}],"title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","year":"2025","citation":{"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.","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.","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.","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} }","short":"V. Betz, B. Hinrichs, M.N. Kraft, S. Polzer, ArXiv:2501.19362 (2025).","mla":"Betz, Volker, et al. “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>."}},{"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"}],"status":"public","type":"preprint","publication":"arXiv:2502.04876","language":[{"iso":"eng"}],"project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"_id":"63644","external_id":{"arxiv":["2502.04876"]},"user_id":"99427","department":[{"_id":"799"}],"year":"2025","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} }","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).","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>.","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.","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.","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."},"title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","date_updated":"2026-01-16T08:59:03Z","author":[{"first_name":"Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","id":"99427","full_name":"Hinrichs, Benjamin"},{"last_name":"Lampart","full_name":"Lampart, Jonas","first_name":"Jonas"},{"full_name":"Valentín Martín, Javier","last_name":"Valentín Martín","first_name":"Javier"}],"date_created":"2026-01-16T08:58:25Z"},{"date_updated":"2026-01-16T08:58:12Z","date_created":"2026-01-16T08:57:34Z","author":[{"first_name":"Marco","last_name":"Falconi","full_name":"Falconi, Marco"},{"first_name":"Benjamin","full_name":"Hinrichs, Benjamin","id":"99427","orcid":"0000-0001-9074-1205","last_name":"Hinrichs"}],"title":"Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach","year":"2025","citation":{"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.","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} }","short":"M. Falconi, B. Hinrichs, ArXiv:2505.19977 (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."},"external_id":{"arxiv":["2505.19977"]},"_id":"63643","user_id":"99427","department":[{"_id":"799"}],"language":[{"iso":"eng"}],"type":"preprint","publication":"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."}],"status":"public"},{"language":[{"iso":"eng"}],"user_id":"99427","department":[{"_id":"799"}],"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"_id":"63645","external_id":{"arxiv":["2508.00805"]},"status":"public","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."}],"type":"preprint","publication":"arXiv:2508.00805","title":"Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors","date_created":"2026-01-16T08:59:11Z","author":[{"first_name":"Marco","full_name":"Falconi, Marco","last_name":"Falconi"},{"first_name":"Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","id":"99427"},{"first_name":"Javier","last_name":"Valentín Martín","full_name":"Valentín Martín, Javier"}],"date_updated":"2026-01-16T09:01:45Z","citation":{"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.","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.","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.","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>.","mla":"Falconi, Marco, et al. “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).","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} }"},"year":"2025"},{"title":"Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems","date_updated":"2026-01-16T09:01:02Z","date_created":"2026-01-16T08:59:45Z","author":[{"last_name":"Hinrichs","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","id":"99427","first_name":"Benjamin"},{"last_name":"Polzer","full_name":"Polzer, Steffen","first_name":"Steffen"}],"year":"2025","citation":{"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.","short":"B. Hinrichs, S. 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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.","lang":"eng"}],"status":"public","publication":"arXiv:2511.02867","type":"preprint"},{"title":"On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks","date_updated":"2026-01-16T09:00:31Z","date_created":"2026-01-16T08:59:54Z","author":[{"first_name":"Benjamin","id":"99427","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs"},{"first_name":"Pascal","last_name":"Mittenbühler","full_name":"Mittenbühler, Pascal"}],"year":"2025","citation":{"ieee":"B. Hinrichs and P. 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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"}],"status":"public","type":"preprint","publication":"arXiv:2511.13409"},{"issue":"04","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["2972-4589","2972-4597"]},"citation":{"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} }","short":"H. Glöckner, A. Schmeding, A. 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Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken. In S. Pudenz, O. Schoell, &#38; M. Cleef (Eds.), <i>25 Jahre Berufskolleg - Wegspuren und Zukunftspfade</i> (pp. 175–188). wbv."}},{"publication_status":"accepted","year":"2025","citation":{"apa":"Bullerjahn, N., &#38; Kovács, B. (n.d.). Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/draf009\">https://doi.org/10.1093/imanum/draf009</a>","short":"N. Bullerjahn, B. Kovács, IMA Journal of Numerical Analysis (n.d.).","mla":"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>, doi:<a href=\"https://doi.org/10.1093/imanum/draf009\">10.1093/imanum/draf009</a>.","bibtex":"@article{Bullerjahn_Kovács, title={Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions}, DOI={<a href=\"https://doi.org/10.1093/imanum/draf009\">10.1093/imanum/draf009</a>}, journal={IMA Journal of Numerical Analysis}, author={Bullerjahn, Nils and Kovács, Balázs} }","ieee":"N. Bullerjahn and B. Kovács, “Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, doi: <a href=\"https://doi.org/10.1093/imanum/draf009\">10.1093/imanum/draf009</a>.","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>.","ama":"Bullerjahn N, Kovács B. Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. doi:<a href=\"https://doi.org/10.1093/imanum/draf009\">10.1093/imanum/draf009</a>"},"date_updated":"2026-02-18T14:46:18Z","author":[{"first_name":"Nils","id":"103797","full_name":"Bullerjahn, Nils","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"}],"date_created":"2024-07-31T09:03:45Z","title":"Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions","doi":"10.1093/imanum/draf009","type":"journal_article","publication":"IMA Journal of Numerical Analysis","status":"public","_id":"55459","user_id":"100441","department":[{"_id":"841"}],"article_type":"original","language":[{"iso":"eng"}]},{"year":"2025","citation":{"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>","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>.","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>.","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} }","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>.","short":"D. Edelmann, B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 45 (2025) 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>"},"intvolume":"        45","page":"2581--2627","issue":"5","title":"Numerical analysis of an evolving bulk--surface model of tumour growth","doi":"10.1093/imanum/drae077","date_updated":"2026-02-18T14:44:54Z","author":[{"first_name":"Dominik","last_name":"Edelmann","full_name":"Edelmann, Dominik"},{"id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"},{"last_name":"Lubich","full_name":"Lubich, Christian","first_name":"Christian"}],"date_created":"2024-04-03T09:11:36Z","volume":45,"status":"public","type":"journal_article","publication":"IMA Journal of Numerical Analysis","language":[{"iso":"eng"}],"_id":"53141","user_id":"100441","department":[{"_id":"841"}]},{"language":[{"iso":"eng"}],"user_id":"100441","department":[{"_id":"841"}],"external_id":{"arxiv":["2408.14096"]},"_id":"55781","status":"public","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"}],"type":"journal_article","publication":"IMA Journal of Numerical Analysis","doi":"10.1093/imanum/draf082.","title":"Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface","date_created":"2024-08-27T07:37:39Z","author":[{"first_name":"Genming","full_name":"Bai, Genming","last_name":"Bai"},{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441"},{"first_name":"Buyang","full_name":"Li, Buyang","last_name":"Li"}],"date_updated":"2026-02-18T14:47:34Z","citation":{"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>","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>","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>","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>","short":"G. Bai, B. Kovács, B. Li, IMA Journal of Numerical Analysis (2025).","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} }","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>"},"year":"2025"}]