[{"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."}],"status":"public","type":"preprint","publication":"arXiv:2501.19362","language":[{"iso":"eng"}],"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"_id":"63642","external_id":{"arxiv":["2501.19362"]},"user_id":"99427","department":[{"_id":"799"}],"year":"2025","citation":{"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.","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.","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.","mla":"Betz, Volker, et al. “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).","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} }","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>."},"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","author":[{"last_name":"Betz","full_name":"Betz, Volker","first_name":"Volker"},{"last_name":"Hinrichs","orcid":"0000-0001-9074-1205","id":"99427","full_name":"Hinrichs, Benjamin","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"}]},{"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"external_id":{"arxiv":["2502.04876"]},"_id":"63644","user_id":"99427","department":[{"_id":"799"}],"language":[{"iso":"eng"}],"type":"preprint","publication":"arXiv:2502.04876","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","date_updated":"2026-01-16T08:59:03Z","author":[{"last_name":"Hinrichs","orcid":"0000-0001-9074-1205","id":"99427","full_name":"Hinrichs, Benjamin","first_name":"Benjamin"},{"last_name":"Lampart","full_name":"Lampart, Jonas","first_name":"Jonas"},{"last_name":"Valentín Martín","full_name":"Valentín Martín, Javier","first_name":"Javier"}],"date_created":"2026-01-16T08:58:25Z","title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","year":"2025","citation":{"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.","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>.","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)."}},{"language":[{"iso":"eng"}],"user_id":"99427","department":[{"_id":"799"}],"external_id":{"arxiv":["2505.19977"]},"_id":"63643","status":"public","abstract":[{"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.","lang":"eng"}],"type":"preprint","publication":"arXiv:2505.19977","title":"Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach","author":[{"first_name":"Marco","full_name":"Falconi, Marco","last_name":"Falconi"},{"id":"99427","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","first_name":"Benjamin"}],"date_created":"2026-01-16T08:57:34Z","date_updated":"2026-01-16T08:58:12Z","citation":{"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>.","short":"M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).","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} }","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.","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.","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."},"year":"2025"},{"title":"Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors","date_updated":"2026-01-16T09:01:45Z","date_created":"2026-01-16T08:59:11Z","author":[{"first_name":"Marco","last_name":"Falconi","full_name":"Falconi, Marco"},{"full_name":"Hinrichs, Benjamin","id":"99427","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","first_name":"Benjamin"},{"full_name":"Valentín Martín, Javier","last_name":"Valentín Martín","first_name":"Javier"}],"year":"2025","citation":{"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} }","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>.","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.","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."},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2508.00805"]},"_id":"63645","project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"department":[{"_id":"799"}],"user_id":"99427","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."}],"status":"public","publication":"arXiv:2508.00805","type":"preprint"},{"citation":{"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} }","short":"B. Hinrichs, S. Polzer, ArXiv:2511.02867 (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.","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>.","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.","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."},"year":"2025","title":"Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems","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"},{"first_name":"Steffen","full_name":"Polzer, Steffen","last_name":"Polzer"}],"date_updated":"2026-01-16T09:01:02Z","status":"public","abstract":[{"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.","lang":"eng"}],"publication":"arXiv:2511.02867","type":"preprint","language":[{"iso":"eng"}],"department":[{"_id":"799"}],"user_id":"99427","_id":"63646","external_id":{"arxiv":["2511.02867"]},"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}]},{"citation":{"ama":"Hinrichs B, Mittenbühler P. On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. <i>arXiv:251113409</i>. Published online 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.","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.","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} }","short":"B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (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>."},"year":"2025","title":"On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks","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","full_name":"Mittenbühler, Pascal","last_name":"Mittenbühler"}],"date_updated":"2026-01-16T09:00:31Z","status":"public","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"}],"publication":"arXiv:2511.13409","type":"preprint","language":[{"iso":"eng"}],"department":[{"_id":"799"}],"user_id":"99427","external_id":{"arxiv":["2511.13409"]},"_id":"63647","project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}]},{"volume":"01","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"first_name":"Alexander","full_name":"Schmeding, Alexander","last_name":"Schmeding"},{"first_name":"Ali","orcid":"https://orcid.org/0000-0002-9682-9037","last_name":"Suri","full_name":"Suri, Ali","id":"89268"}],"date_created":"2026-01-16T10:22:21Z","date_updated":"2026-01-16T10:25:34Z","publisher":"World Scientific Pub Co Pte Ltd","doi":"10.1142/s2972458925500029","title":"Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups","issue":"04","quality_controlled":"1","publication_identifier":{"issn":["2972-4589","2972-4597"]},"publication_status":"published","intvolume":"         1","page":"383-437","citation":{"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>","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>.","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>.","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>","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. Suri, Geometric Mechanics 01 (2025) 383–437.","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>."},"year":"2025","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"63649","language":[{"iso":"eng"}],"article_type":"original","publication":"Geometric Mechanics","type":"journal_article","status":"public"},{"external_id":{"arxiv":["2410.10364"]},"language":[{"iso":"eng"}],"ddc":["510"],"publication":"Indagationes Mathematicae","file":[{"relation":"main_file","success":1,"content_type":"application/pdf","access_level":"closed","file_name":"MSA_hermitsch_published.pdf","file_id":"64288","file_size":443262,"creator":"llangen","date_created":"2026-02-19T14:14:39Z","date_updated":"2026-02-19T14:14:39Z"}],"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."}],"date_created":"2024-10-22T09:31:19Z","publisher":"Elsevier","title":"Multiresolution analysis on spectra of hermitian matrices","issue":"6","year":"2025","user_id":"73664","department":[{"_id":"555"}],"project":[{"name":"TRR 358 - Ganzzahlige Strukturen in Geometrie und Darstellungstheorie","_id":"357"}],"_id":"56717","file_date_updated":"2026-02-19T14:14:39Z","article_type":"original","type":"journal_article","status":"public","author":[{"id":"73664","full_name":"Langen, Lukas","last_name":"Langen","first_name":"Lukas"},{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"}],"volume":36,"date_updated":"2026-02-19T14:16:43Z","main_file_link":[{"url":"https://doi.org/10.1016/j.indag.2025.03.009"}],"related_material":{"link":[{"url":"https://arxiv.org/abs/2410.10364","relation":"research_paper"}]},"publication_status":"published","has_accepted_license":"1","citation":{"short":"L. Langen, M. Rösler, Indagationes Mathematicae 36 (2025) 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} }","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.","apa":"Langen, L., &#38; Rösler, M. (2025). Multiresolution analysis on spectra of hermitian matrices. <i>Indagationes Mathematicae</i>, <i>36</i>(6), 1671–1694.","ama":"Langen L, Rösler M. Multiresolution analysis on spectra of hermitian matrices. <i>Indagationes Mathematicae</i>. 2025;36(6):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."},"intvolume":"        36","page":"1671-1694"},{"title":"Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms","doi":"10.1007/s00220-024-05226-w","publisher":"Springer Science and Business Media LLC","date_updated":"2026-02-20T09:41:41Z","author":[{"first_name":"Bas","last_name":"Janssens","full_name":"Janssens, Bas"},{"last_name":"Niestijl","full_name":"Niestijl, Milan","first_name":"Milan"}],"date_created":"2026-02-20T09:33:11Z","volume":406,"year":"2025","citation":{"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>","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>.","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>.","short":"B. Janssens, M. Niestijl, Communications in Mathematical Physics 406 (2025).","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} }","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>.","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>"},"intvolume":"       406","publication_status":"published","publication_identifier":{"issn":["0010-3616","1432-0916"]},"issue":"2","article_number":"45","language":[{"iso":"eng"}],"_id":"64289","user_id":"104095","department":[{"_id":"93"}],"abstract":[{"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>","lang":"eng"}],"status":"public","type":"journal_article","publication":"Communications in Mathematical Physics"},{"status":"public","type":"journal_article","publication":"Applied Mathematics & Optimization","language":[{"iso":"eng"}],"article_number":"44","user_id":"11829","department":[{"_id":"90"}],"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"_id":"59258","citation":{"apa":"Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. <i>Applied Mathematics &#38; Optimization</i>, <i>91</i>(2), Article 44. <a href=\"https://doi.org/10.1007/s00245-025-10243-9\">https://doi.org/10.1007/s00245-025-10243-9</a>","short":"M. Winkler, Applied Mathematics &#38; Optimization 91 (2025).","mla":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” <i>Applied Mathematics &#38; Optimization</i>, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>.","bibtex":"@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={<a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>}, number={244}, journal={Applied Mathematics &#38; Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","ama":"Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. <i>Applied Mathematics &#38; Optimization</i>. 2025;91(2). doi:<a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>","chicago":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” <i>Applied Mathematics &#38; Optimization</i> 91, no. 2 (2025). <a href=\"https://doi.org/10.1007/s00245-025-10243-9\">https://doi.org/10.1007/s00245-025-10243-9</a>.","ieee":"M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters,” <i>Applied Mathematics &#38; Optimization</i>, vol. 91, no. 2, Art. no. 44, 2025, doi: <a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>."},"intvolume":"        91","year":"2025","issue":"2","publication_status":"published","publication_identifier":{"issn":["0095-4616","1432-0606"]},"doi":"10.1007/s00245-025-10243-9","title":"Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"date_created":"2025-04-02T11:23:25Z","volume":91,"date_updated":"2026-02-26T15:59:30Z","publisher":"Springer Science and Business Media LLC"},{"editor":[{"last_name":"Frahm","full_name":"Frahm, Jan","first_name":"Jan"},{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"},{"last_name":"Olafsson","full_name":"Olafsson, Gestur","first_name":"Gestur"}],"status":"public","publication":"J. Lie Theory","type":"journal_editor","language":[{"iso":"eng"}],"_id":"64736","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","year":"2025","intvolume":"        35","citation":{"apa":"Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday. (2025). In J. Frahm, H. Glöckner, J. Hilgert, &#38; G. Olafsson (Eds.), <i>J. Lie Theory</i> (Vol. 35, Issue 4).","mla":"Frahm, Jan, et al., editors. “Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday.” <i>J. Lie Theory</i>, vol. 35, no. 4, 2025.","bibtex":"@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday}, volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }","short":"J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday, 2025.","ama":"Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. <i>Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday</i>. Vol 35.; 2025.","chicago":"Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. <i>Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday</i>. <i>J. Lie Theory</i>. Vol. 35, 2025.","ieee":"J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., <i>Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday</i>, vol. 35, no. 4. 2025."},"quality_controlled":"1","issue":"4","title":"Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday","date_updated":"2026-02-26T17:51:43Z","volume":35,"date_created":"2026-02-26T17:42:01Z"},{"date_updated":"2026-02-26T21:58:36Z","oa":"1","author":[{"first_name":"Matthieu","last_name":"Pinaud","full_name":"Pinaud, Matthieu"}],"date_created":"2026-02-26T21:58:22Z","supervisor":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"}],"title":"Manifold of mappings and regularity properties of half-Lie groups","main_file_link":[{"open_access":"1","url":"https://nbn-resolving.org/urn:nbn:de:hbz:466:2-54221"}],"doi":"10.17619/UNIPB/1-2211","year":"2025","citation":{"chicago":"Pinaud, Matthieu. <i>Manifold of Mappings and Regularity Properties of Half-Lie Groups</i>, 2025. <a href=\"https://doi.org/10.17619/UNIPB/1-2211\">https://doi.org/10.17619/UNIPB/1-2211</a>.","ieee":"M. Pinaud, <i>Manifold of mappings and regularity properties of half-Lie groups</i>. 2025.","short":"M. Pinaud, Manifold of Mappings and Regularity Properties of Half-Lie Groups, 2025.","mla":"Pinaud, Matthieu. <i>Manifold of Mappings and Regularity Properties of Half-Lie Groups</i>. 2025, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2211\">10.17619/UNIPB/1-2211</a>.","bibtex":"@book{Pinaud_2025, title={Manifold of mappings and regularity properties of half-Lie groups}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-2211\">10.17619/UNIPB/1-2211</a>}, author={Pinaud, Matthieu}, year={2025} }","ama":"Pinaud M. <i>Manifold of Mappings and Regularity Properties of Half-Lie Groups</i>.; 2025. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-2211\">10.17619/UNIPB/1-2211</a>","apa":"Pinaud, M. (2025). <i>Manifold of mappings and regularity properties of half-Lie groups</i>. <a href=\"https://doi.org/10.17619/UNIPB/1-2211\">https://doi.org/10.17619/UNIPB/1-2211</a>"},"_id":"64770","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"language":[{"iso":"eng"}],"type":"dissertation","status":"public"},{"publication":"Nonlinear Analysis","type":"journal_article","abstract":[{"lang":"eng","text":"Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent real-analytic vector fields on $M$ which are integrable\r\nfunctions in time, and their dependence on the time-dependent vector field.\r\nNotably, we show that the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups, for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of other classes of groups.\r\nMoreover, we obtain new results concerning the continuity and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex direct\r\nlimits."}],"status":"public","_id":"34807","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","article_number":"113690","language":[{"iso":"eng"}],"quality_controlled":"1","year":"2025","intvolume":"       252","citation":{"chicago":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i> 252 (2025). <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>.","ieee":"H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” <i>Nonlinear Analysis</i>, vol. 252, Art. no. 113690, 2025, doi: <a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","ama":"Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>. 2025;252. doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>","mla":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i>, vol. 252, 113690, 2025, doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","bibtex":"@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms are L^1-regular}, volume={252}, DOI={<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>}, number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025} }","short":"H. Glöckner, Nonlinear Analysis 252 (2025).","apa":"Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>, <i>252</i>, Article 113690. <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>"},"date_updated":"2024-12-24T16:58:38Z","volume":252,"date_created":"2022-12-22T07:49:32Z","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"}],"title":"Lie groups of real analytic diffeomorphisms are L^1-regular","doi":"10.1016/j.na.2024.113690"},{"_id":"60205","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"23686","article_number":"113555","language":[{"iso":"eng"}],"publication":"Journal of Differential Equations","type":"journal_article","status":"public","date_updated":"2025-06-13T11:13:22Z","publisher":"Elsevier BV","volume":443,"author":[{"first_name":"Tobias","full_name":"Black, Tobias","id":"23686","orcid":"0000-0001-9963-0800","last_name":"Black"}],"date_created":"2025-06-13T11:12:23Z","title":"Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system","doi":"10.1016/j.jde.2025.113555","publication_identifier":{"issn":["0022-0396"]},"publication_status":"published","year":"2025","intvolume":"       443","citation":{"apa":"Black, T. (2025). Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. <i>Journal of Differential Equations</i>, <i>443</i>, Article 113555. <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">https://doi.org/10.1016/j.jde.2025.113555</a>","short":"T. Black, Journal of Differential Equations 443 (2025).","bibtex":"@article{Black_2025, title={Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system}, volume={443}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>}, number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2025} }","mla":"Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Differential Equations</i>, vol. 443, 113555, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>.","ieee":"T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,” <i>Journal of Differential Equations</i>, vol. 443, Art. no. 113555, 2025, doi: <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>.","chicago":"Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Differential Equations</i> 443 (2025). <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">https://doi.org/10.1016/j.jde.2025.113555</a>.","ama":"Black T. Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. <i>Journal of Differential Equations</i>. 2025;443. doi:<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>"}},{"publication":"Mathematical Models and Methods in Applied Sciences","language":[{"iso":"eng"}],"external_id":{"arxiv":["2411.14900"]},"year":"2025","issue":"11","title":"A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions","publisher":"World Scientific Pub Co Pte Ltd","date_created":"2024-06-20T13:43:42Z","status":"public","type":"journal_article","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"_id":"54837","user_id":"11829","department":[{"_id":"90"},{"_id":"49"}],"citation":{"short":"L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.","mla":"Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025, pp. 2465–512, doi:<a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>.","bibtex":"@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35}, DOI={<a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler, Michael}, year={2025}, pages={2465–2512} }","apa":"Claes, L., Lankeit, J., &#38; Winkler, M. (2025). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>35</i>(11), 2465–2512. <a href=\"https://doi.org/10.1142/s0218202525500447\">https://doi.org/10.1142/s0218202525500447</a>","ieee":"L. Claes, J. Lankeit, and M. Winkler, “A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 35, no. 11, pp. 2465–2512, 2025, doi: <a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>.","chicago":"Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” <i>Mathematical Models and Methods in Applied Sciences</i> 35, no. 11 (2025): 2465–2512. <a href=\"https://doi.org/10.1142/s0218202525500447\">https://doi.org/10.1142/s0218202525500447</a>.","ama":"Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. <i>Mathematical Models and Methods in Applied Sciences</i>. 2025;35(11):2465-2512. doi:<a href=\"https://doi.org/10.1142/s0218202525500447\">10.1142/s0218202525500447</a>"},"intvolume":"        35","page":"2465-2512","publication_identifier":{"issn":["1793-6314"]},"main_file_link":[{"url":"https://arxiv.org/pdf/2411.14900","open_access":"1"}],"doi":"10.1142/s0218202525500447","date_updated":"2026-01-05T07:59:41Z","oa":"1","author":[{"first_name":"Leander","full_name":"Claes, Leander","id":"11829","last_name":"Claes","orcid":"0000-0002-4393-268X"},{"full_name":"Lankeit, Johannes","last_name":"Lankeit","first_name":"Johannes"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"volume":35},{"language":[{"iso":"eng"}],"article_type":"original","user_id":"70575","department":[{"_id":"548"}],"_id":"53414","status":"public","abstract":[{"lang":"eng","text":"By constructing a non-empty domain of discontinuity in a suitable homogeneous\r\nspace, we prove that every torsion-free projective Anosov subgroup is the\r\nmonodromy group of a locally homogeneous contact Axiom A dynamical system with\r\na unique basic hyperbolic set on which the flow is conjugate to the refraction\r\nflow of Sambarino. Under the assumption of irreducibility, we utilize the work\r\nof Stoyanov to establish spectral estimates for the associated complex Ruelle\r\ntransfer operators, and by way of corollary: exponential mixing, exponentially\r\ndecaying error term in the prime orbit theorem, and a spectral gap for the\r\nRuelle zeta function. With no irreducibility assumption, results of\r\nDyatlov-Guillarmou imply the global meromorphic continuation of zeta functions\r\nwith smooth weights, as well as the existence of a discrete spectrum of\r\nRuelle-Pollicott resonances and (co)-resonant states. We apply our results to\r\nspace-like geodesic flows for the convex cocompact pseudo-Riemannian manifolds\r\nof Danciger-Gu\\'eritaud-Kassel, and the Benoist-Hilbert geodesic flow for\r\nstrictly convex real projective manifolds."}],"type":"journal_article","publication":"Geometric and Functional Analysis (GAFA)","doi":"10.1007/s00039-025-00712-2","title":"Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing","author":[{"last_name":"Delarue","full_name":"Delarue, Benjamin","id":"70575","first_name":"Benjamin"},{"first_name":"Daniel","full_name":"Monclair, Daniel","last_name":"Monclair"},{"full_name":"Sanders, Andrew","last_name":"Sanders","first_name":"Andrew"}],"date_created":"2024-04-11T12:31:34Z","volume":35,"date_updated":"2026-01-09T09:25:45Z","citation":{"ama":"Delarue B, Monclair D, Sanders A. Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing. <i>Geometric and Functional Analysis (GAFA)</i>. 2025;35:673–735. doi:<a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>","chicago":"Delarue, Benjamin, Daniel Monclair, and Andrew Sanders. “Locally Homogeneous Axiom A Flows I: Projective Anosov Subgroups and Exponential Mixing.” <i>Geometric and Functional Analysis (GAFA)</i> 35 (2025): 673–735. <a href=\"https://doi.org/10.1007/s00039-025-00712-2\">https://doi.org/10.1007/s00039-025-00712-2</a>.","ieee":"B. Delarue, D. Monclair, and A. Sanders, “Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing,” <i>Geometric and Functional Analysis (GAFA)</i>, vol. 35, pp. 673–735, 2025, doi: <a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>.","short":"B. Delarue, D. Monclair, A. Sanders, Geometric and Functional Analysis (GAFA) 35 (2025) 673–735.","bibtex":"@article{Delarue_Monclair_Sanders_2025, title={Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing}, volume={35}, DOI={<a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>}, journal={Geometric and Functional Analysis (GAFA)}, author={Delarue, Benjamin and Monclair, Daniel and Sanders, Andrew}, year={2025}, pages={673–735} }","mla":"Delarue, Benjamin, et al. “Locally Homogeneous Axiom A Flows I: Projective Anosov Subgroups and Exponential Mixing.” <i>Geometric and Functional Analysis (GAFA)</i>, vol. 35, 2025, pp. 673–735, doi:<a href=\"https://doi.org/10.1007/s00039-025-00712-2\">10.1007/s00039-025-00712-2</a>.","apa":"Delarue, B., Monclair, D., &#38; Sanders, A. (2025). Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing. <i>Geometric and Functional Analysis (GAFA)</i>, <i>35</i>, 673–735. <a href=\"https://doi.org/10.1007/s00039-025-00712-2\">https://doi.org/10.1007/s00039-025-00712-2</a>"},"intvolume":"        35","page":"673–735","year":"2025","publication_status":"published"},{"user_id":"70575","department":[{"_id":"548"}],"_id":"53412","language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","publication":"Transformation Groups","status":"public","abstract":[{"lang":"eng","text":"Let $M$ be a symplectic manifold carrying a Hamiltonian $S^1$-action with\r\nmomentum map $J:M \\rightarrow \\mathbb{R}$ and consider the corresponding\r\nsymplectic quotient $\\mathcal{M}_0:=J^{-1}(0)/S^1$. We extend Sjamaar's complex\r\nof differential forms on $\\mathcal{M}_0$, whose cohomology is isomorphic to the\r\nsingular cohomology $H(\\mathcal{M}_0;\\mathbb{R})$ of $\\mathcal{M}_0$ with real\r\ncoefficients, to a complex of differential forms on $\\mathcal{M}_0$ associated\r\nwith a partial desingularization $\\widetilde{\\mathcal{M}}_0$, which we call\r\nresolution differential forms. The cohomology of that complex turns out to be\r\nisomorphic to the de Rham cohomology $H(\\widetilde{ \\mathcal{M}}_0)$ of\r\n$\\widetilde{\\mathcal{M}}_0$. Based on this, we derive a long exact sequence\r\ninvolving both $H(\\mathcal{M}_0;\\mathbb{R})$ and $H(\\widetilde{\r\n\\mathcal{M}}_0)$ and give conditions for its splitting. We then define a Kirwan\r\nmap $\\mathcal{K}:H_{S^1}(M) \\rightarrow H(\\widetilde{\\mathcal{M}}_0)$ from the\r\nequivariant cohomology $H_{S^1}(M)$ of $M$ to $H(\\widetilde{\\mathcal{M}}_0)$\r\nand show that its image contains the image of $H(\\mathcal{M}_0;\\mathbb{R})$ in\r\n$H(\\widetilde{\\mathcal{M}}_0)$ under the natural inclusion. Combining both\r\nresults in the case that all fixed point components of $M$ have vanishing odd\r\ncohomology we obtain a surjection $\\check \\kappa:H^\\textrm{ev}_{S^1}(M)\r\n\\rightarrow H^\\textrm{ev}(\\mathcal{M}_0;\\mathbb{R})$ in even degrees, while\r\nalready simple examples show that a similar surjection in odd degrees does not\r\nexist in general. As an interesting class of examples we study abelian polygon\r\nspaces."}],"author":[{"full_name":"Delarue, Benjamin","id":"70575","last_name":"Delarue","first_name":"Benjamin"},{"full_name":"Ramacher, Pablo","last_name":"Ramacher","first_name":"Pablo"},{"first_name":"Maximilian","last_name":"Schmitt","full_name":"Schmitt, Maximilian"}],"date_created":"2024-04-11T12:30:59Z","date_updated":"2026-01-09T09:27:08Z","doi":"10.1007/s00031-025-09924-0","title":"Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity","publication_status":"epub_ahead","citation":{"apa":"Delarue, B., Ramacher, P., &#38; Schmitt, M. (2025). Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity. <i>Transformation Groups</i>. <a href=\"https://doi.org/10.1007/s00031-025-09924-0\">https://doi.org/10.1007/s00031-025-09924-0</a>","bibtex":"@article{Delarue_Ramacher_Schmitt_2025, title={Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity}, DOI={<a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>}, journal={Transformation Groups}, author={Delarue, Benjamin and Ramacher, Pablo and Schmitt, Maximilian}, year={2025} }","short":"B. Delarue, P. Ramacher, M. Schmitt, Transformation Groups (2025).","mla":"Delarue, Benjamin, et al. “Singular Cohomology of Symplectic Quotients by Circle Actions and Kirwan  Surjectivity.” <i>Transformation Groups</i>, 2025, doi:<a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>.","chicago":"Delarue, Benjamin, Pablo Ramacher, and Maximilian Schmitt. “Singular Cohomology of Symplectic Quotients by Circle Actions and Kirwan  Surjectivity.” <i>Transformation Groups</i>, 2025. <a href=\"https://doi.org/10.1007/s00031-025-09924-0\">https://doi.org/10.1007/s00031-025-09924-0</a>.","ieee":"B. Delarue, P. Ramacher, and M. Schmitt, “Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity,” <i>Transformation Groups</i>, 2025, doi: <a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>.","ama":"Delarue B, Ramacher P, Schmitt M. Singular cohomology of symplectic quotients by circle actions and Kirwan  surjectivity. <i>Transformation Groups</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1007/s00031-025-09924-0\">10.1007/s00031-025-09924-0</a>"},"year":"2025"},{"author":[{"last_name":"Bischof","full_name":"Bischof, Sebastian","id":"106729","first_name":"Sebastian"},{"last_name":"Marquis","full_name":"Marquis, Timothée","first_name":"Timothée"}],"date_created":"2026-01-12T14:12:09Z","date_updated":"2026-01-12T14:33:08Z","title":"Describing the nub in maximal Kac-Moody groups","citation":{"short":"S. Bischof, T. Marquis, (2025).","mla":"Bischof, Sebastian, and Timothée Marquis. <i>Describing the Nub in Maximal Kac-Moody Groups</i>. 2025.","bibtex":"@article{Bischof_Marquis_2025, title={Describing the nub in maximal Kac-Moody groups}, author={Bischof, Sebastian and Marquis, Timothée}, year={2025} }","apa":"Bischof, S., &#38; Marquis, T. (2025). <i>Describing the nub in maximal Kac-Moody groups</i>.","ama":"Bischof S, Marquis T. Describing the nub in maximal Kac-Moody groups. Published online 2025.","ieee":"S. Bischof and T. Marquis, “Describing the nub in maximal Kac-Moody groups.” 2025.","chicago":"Bischof, Sebastian, and Timothée Marquis. “Describing the Nub in Maximal Kac-Moody Groups,” 2025."},"year":"2025","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"106729","external_id":{"arxiv":["arXiv:2508.15506"]},"_id":"63569","language":[{"iso":"eng"}],"type":"preprint","status":"public","abstract":[{"lang":"eng","text":"Let $G$ be a totally disconnected locally compact (tdlc) group. The contraction group $\\mathrm{con}(g)$ of an element $g\\in G$ is the set of all $h\\in G$ such that $g^n h g^{-n} \\to 1_G$ as $n \\to \\infty$. The nub of $g$ can then be characterized as the intersection $\\mathrm{nub}(g)$ of the closures of $\\mathrm{con}(g)$ and $\\mathrm{con}(g^{-1})$.\r\n Contraction groups and nubs provide important tools in the study of the structure of tdlc groups, as already evidenced in the work of G. Willis. It is known that $\\mathrm{nub}(g) = \\{1\\}$ if and only if $\\mathrm{con}(g)$ is closed. In general, contraction groups are not closed and computing the nub is typically a challenging problem.\r\n Maximal Kac-Moody groups over finite fields form a prominent family of non-discrete compactly generated simple tdlc groups. In this paper we give a complete description of the nub of any element in these groups."}]},{"type":"preprint","abstract":[{"lang":"eng","text":"In this article we work out the details of flat groups of the automorphism group of locally finite Bruhat-Tits buildings."}],"status":"public","_id":"63568","external_id":{"arxiv":["arXiv:2512.16548"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"106729","language":[{"iso":"eng"}],"year":"2025","citation":{"short":"S. Bischof, (2025).","bibtex":"@article{Bischof_2025, title={On flat groups in affine buildings}, author={Bischof, Sebastian}, year={2025} }","mla":"Bischof, Sebastian. <i>On Flat Groups in Affine Buildings</i>. 2025.","apa":"Bischof, S. (2025). <i>On flat groups in affine buildings</i>.","ama":"Bischof S. On flat groups in affine buildings. Published online 2025.","chicago":"Bischof, Sebastian. “On Flat Groups in Affine Buildings,” 2025.","ieee":"S. Bischof, “On flat groups in affine buildings.” 2025."},"date_updated":"2026-01-12T14:32:33Z","author":[{"first_name":"Sebastian","last_name":"Bischof","id":"106729","full_name":"Bischof, Sebastian"}],"date_created":"2026-01-12T14:11:47Z","title":"On flat groups in affine buildings"},{"author":[{"first_name":"Benjamin","full_name":"Delarue, Benjamin","id":"70575","last_name":"Delarue"},{"full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert","first_name":"Joachim"}],"date_created":"2024-04-11T12:31:18Z","volume":35,"date_updated":"2026-03-31T09:07:17Z","title":"Quantum resonances and scattering poles of classical rank one locally  symmetric spaces","issue":"(4)","publication_status":"inpress","publication_identifier":{"issn":["0949-5932"]},"citation":{"ama":"Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>. 35((4)):787--804.","chicago":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i> 35, no. (4) (n.d.): 787--804.","ieee":"B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally  symmetric spaces,” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","bibtex":"@article{Delarue_Hilgert, title={Quantum resonances and scattering poles of classical rank one locally  symmetric spaces}, volume={35}, number={(4)}, journal={Journal of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804} }","mla":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","short":"B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.","apa":"Delarue, B., &#38; Hilgert, J. (n.d.). Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>, <i>35</i>((4)), 787--804."},"intvolume":"        35","page":"787--804","year":"2025","user_id":"220","department":[{"_id":"548"}],"_id":"53413","language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","publication":"Journal of Lie Theory","status":"public","abstract":[{"lang":"eng","text":"For negatively curved symmetric spaces it is known that the poles of the\r\nscattering matrices defined via the standard intertwining operators for the\r\nspherical principal representations of the isometry group are either given as\r\npoles of the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms."}]}]