[{"status":"public","abstract":[{"lang":"eng","text":"We study the convergence rate of translation-invariant discrete-time quantum dynamics on a one-dimensional lattice. We prove that the cumulative distributions function of the ballistically scaled position $\\mathbb X(n)/{n}$ after $n$ steps converges at a rate of $n^{-1/3}$ in the Lévy metric as $n\\to\\infty$. In the special case of step-coin quantum walks with two-dimensional coin space, we recover the same convergence rate for the supremum distance and prove optimality."}],"type":"preprint","publication":"arXiv:2511.13409","language":[{"iso":"eng"}],"user_id":"99427","department":[{"_id":"799"}],"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"external_id":{"arxiv":["2511.13409"]},"_id":"63647","citation":{"bibtex":"@article{Hinrichs_Mittenbühler_2025, title={On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks}, journal={arXiv:2511.13409}, author={Hinrichs, Benjamin and Mittenbühler, Pascal}, year={2025} }","mla":"Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks.” <i>ArXiv:2511.13409</i>, 2025.","short":"B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (2025).","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>.","ama":"Hinrichs B, Mittenbühler P. On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. <i>arXiv:251113409</i>. Published online 2025.","ieee":"B. Hinrichs and P. Mittenbühler, “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks,” <i>arXiv:2511.13409</i>. 2025.","chicago":"Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks.” <i>ArXiv:2511.13409</i>, 2025."},"year":"2025","title":"On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks","author":[{"first_name":"Benjamin","full_name":"Hinrichs, Benjamin","id":"99427","last_name":"Hinrichs","orcid":"0000-0001-9074-1205"},{"first_name":"Pascal","full_name":"Mittenbühler, Pascal","last_name":"Mittenbühler"}],"date_created":"2026-01-16T08:59:54Z","date_updated":"2026-01-16T09:00:31Z"},{"status":"public","publication":"Geometric Mechanics","type":"journal_article","article_type":"original","language":[{"iso":"eng"}],"_id":"63649","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","year":"2025","intvolume":"         1","page":"383-437","citation":{"apa":"Glöckner, H., Schmeding, A., &#38; Suri, A. (2025). Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. <i>Geometric Mechanics</i>, <i>01</i>(04), 383–437. <a href=\"https://doi.org/10.1142/s2972458925500029\">https://doi.org/10.1142/s2972458925500029</a>","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>.","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>."},"publication_identifier":{"issn":["2972-4589","2972-4597"]},"quality_controlled":"1","publication_status":"published","issue":"04","title":"Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups","doi":"10.1142/s2972458925500029","publisher":"World Scientific Pub Co Pte Ltd","date_updated":"2026-01-16T10:25:34Z","volume":"01","date_created":"2026-01-16T10:22:21Z","author":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"},{"full_name":"Schmeding, Alexander","last_name":"Schmeding","first_name":"Alexander"},{"first_name":"Ali","orcid":"https://orcid.org/0000-0002-9682-9037","last_name":"Suri","id":"89268","full_name":"Suri, Ali"}]},{"year":"2025","citation":{"chicago":"Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs in Zeiten Der Ressourcenvielfalt.” In <i>Beiträge Zum Mathematikunterricht 2025. 58. 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Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM-Verlag}, author={Stallmeister, Lea and Rezat, Sebastian}, editor={Schick, Lisa and Platz, Melanie and Lambert, Anselm}, year={2025} }","mla":"Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs in Zeiten Der Ressourcenvielfalt.” <i>Beiträge Zum Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by Lisa Schick et al., WTM-Verlag, 2025, doi:<a href=\"https://doi.org/10.17877/DE290R-26373\">10.17877/DE290R-26373</a>."},"title":"Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt","conference":{"location":"Universität des Saarlandes, Saarbrücken","name":"58. 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Practices in math discourses in inclusive primary school. In: Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik M, Free University of Bozen-Bolzano an ERME, eds. <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>. ; 2025.","ieee":"U. Häsel-Weide and M. Nührenbörger, “Practices in math discourses in inclusive primary school,” in <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, Bozen, Italy, 2025.","chicago":"Häsel-Weide, Uta, and Marcus Nührenbörger. “Practices in Math Discourses in Inclusive Primary School.” In <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, edited by M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, and Free University of Bozen-Bolzano an ERME, 2025.","apa":"Häsel-Weide, U., &#38; Nührenbörger, M. (2025). 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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>"},"publication_status":"accepted","article_type":"original","language":[{"iso":"eng"}],"_id":"55459","department":[{"_id":"841"}],"user_id":"100441","status":"public","publication":"IMA Journal of Numerical Analysis","type":"journal_article"},{"status":"public","publication":"IMA Journal of Numerical Analysis","type":"journal_article","language":[{"iso":"eng"}],"_id":"53141","department":[{"_id":"841"}],"user_id":"100441","year":"2025","intvolume":"        45","page":"2581--2627","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>","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>.","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>.","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>","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."},"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","volume":45,"author":[{"first_name":"Dominik","full_name":"Edelmann, Dominik","last_name":"Edelmann"},{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441","full_name":"Kovács, Balázs"},{"first_name":"Christian","full_name":"Lubich, Christian","last_name":"Lubich"}],"date_created":"2024-04-03T09:11:36Z"},{"year":"2025","citation":{"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>","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>","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>","short":"G. Bai, B. Kovács, B. Li, IMA Journal of Numerical Analysis (2025).","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>"},"date_updated":"2026-02-18T14:47:34Z","date_created":"2024-08-27T07:37:39Z","author":[{"last_name":"Bai","full_name":"Bai, Genming","first_name":"Genming"},{"first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441","full_name":"Kovács, Balázs"},{"first_name":"Buyang","full_name":"Li, Buyang","last_name":"Li"}],"title":"Maximal regularity of evolving FEMs for parabolic equations on an  evolving surface","doi":"10.1093/imanum/draf082.","type":"journal_article","publication":"IMA Journal of Numerical Analysis","abstract":[{"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","lang":"eng"}],"status":"public","external_id":{"arxiv":["2408.14096"]},"_id":"55781","user_id":"100441","department":[{"_id":"841"}],"language":[{"iso":"eng"}]},{"ddc":["510"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2410.10364"]},"abstract":[{"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.","lang":"eng"}],"file":[{"success":1,"relation":"main_file","content_type":"application/pdf","file_size":443262,"access_level":"closed","file_name":"MSA_hermitsch_published.pdf","file_id":"64288","date_updated":"2026-02-19T14:14:39Z","creator":"llangen","date_created":"2026-02-19T14:14:39Z"}],"publication":"Indagationes Mathematicae","title":"Multiresolution analysis on spectra of hermitian matrices","publisher":"Elsevier","date_created":"2024-10-22T09:31:19Z","year":"2025","issue":"6","article_type":"original","file_date_updated":"2026-02-19T14:14:39Z","project":[{"name":"TRR 358 - Ganzzahlige Strukturen in Geometrie und Darstellungstheorie","_id":"357"}],"_id":"56717","user_id":"73664","department":[{"_id":"555"}],"status":"public","type":"journal_article","main_file_link":[{"url":"https://doi.org/10.1016/j.indag.2025.03.009"}],"date_updated":"2026-02-19T14:16:43Z","author":[{"full_name":"Langen, Lukas","id":"73664","last_name":"Langen","first_name":"Lukas"},{"first_name":"Margit","last_name":"Rösler","id":"37390","full_name":"Rösler, Margit"}],"volume":36,"citation":{"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.","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.","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} }","short":"L. Langen, M. Rösler, Indagationes Mathematicae 36 (2025) 1671–1694.","apa":"Langen, L., &#38; Rösler, M. (2025). Multiresolution analysis on spectra of hermitian matrices. <i>Indagationes Mathematicae</i>, <i>36</i>(6), 1671–1694."},"intvolume":"        36","page":"1671-1694","publication_status":"published","has_accepted_license":"1","related_material":{"link":[{"url":"https://arxiv.org/abs/2410.10364","relation":"research_paper"}]}},{"type":"journal_article","publication":"Communications in Mathematical Physics","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\overline{\\rho }$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mover>\r\n                    <mml:mi>ρ</mml:mi>\r\n                    <mml:mo>¯</mml:mo>\r\n                  </mml:mover>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of the Lie group <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$${{\\,\\textrm{Diff}\\,}}_c(M)$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mspace/>\r\n                        <mml:mtext>Diff</mml:mtext>\r\n                        <mml:mspace/>\r\n                      </mml:mrow>\r\n                      <mml:mi>c</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>M</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of compactly supported diffeomorphisms of a smooth manifold <jats:italic>M</jats:italic> that satisfy a so-called generalized positive energy condition. In particular, this captures representations that are in a suitable sense compatible with a KMS state on the von Neumann algebra generated by <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\overline{\\rho }$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mover>\r\n                    <mml:mi>ρ</mml:mi>\r\n                    <mml:mo>¯</mml:mo>\r\n                  </mml:mover>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. We show that if <jats:italic>M</jats:italic> is connected and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\dim (M) &gt; 1$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>dim</mml:mo>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>M</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, then any such representation is necessarily trivial on the identity component <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$${{\\,\\textrm{Diff}\\,}}_c(M)_0$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mspace/>\r\n                        <mml:mtext>Diff</mml:mtext>\r\n                        <mml:mspace/>\r\n                      </mml:mrow>\r\n                      <mml:mi>c</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>M</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. As an intermediate step towards this result, we determine the continuous second Lie algebra cohomology <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$H^2_\\textrm{ct}(\\mathcal {X}_c(M), \\mathbb {R})$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msubsup>\r\n                      <mml:mi>H</mml:mi>\r\n                      <mml:mtext>ct</mml:mtext>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:msubsup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:msub>\r\n                        <mml:mi>X</mml:mi>\r\n                        <mml:mi>c</mml:mi>\r\n                      </mml:msub>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>M</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>,</mml:mo>\r\n                      <mml:mi>R</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> of the Lie algebra of compactly supported vector fields. This is subtly different from Gelfand–Fuks cohomology in view of the compact support condition.</jats:p>"}],"user_id":"104095","department":[{"_id":"93"}],"_id":"64289","language":[{"iso":"eng"}],"article_number":"45","issue":"2","publication_status":"published","publication_identifier":{"issn":["0010-3616","1432-0916"]},"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>.","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>.","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} }","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","year":"2025","date_created":"2026-02-20T09:33:11Z","author":[{"full_name":"Janssens, Bas","last_name":"Janssens","first_name":"Bas"},{"last_name":"Niestijl","full_name":"Niestijl, Milan","first_name":"Milan"}],"volume":406,"publisher":"Springer Science and Business Media LLC","date_updated":"2026-02-20T09:41:41Z","doi":"10.1007/s00220-024-05226-w","title":"Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms"},{"language":[{"iso":"eng"}],"user_id":"70420","department":[{"_id":"100"}],"_id":"50299","status":"public","abstract":[{"text":"A finite classical polar space of rank $n$ consists of the totally isotropic\r\nsubspaces of a finite vector space over $\\mathbb{F}_q$ equipped with a\r\nnondegenerate form such that $n$ is the maximal dimension of such a subspace. A\r\n$t$-$(n,k,\\lambda)$ design in a finite classical polar space of rank $n$ is a\r\ncollection $Y$ of totally isotropic $k$-spaces such that each totally isotropic\r\n$t$-space is contained in exactly $\\lambda$ members of $Y$. Nontrivial examples\r\nare currently only known for $t\\leq 2$. We show that $t$-$(n,k,\\lambda)$\r\ndesigns in polar spaces exist for all $t$ and $q$ provided that\r\n$k>\\frac{21}{2}t$ and $n$ is sufficiently large enough. The proof is based on a\r\nprobabilistic method by Kuperberg, Lovett, and Peled, and it is thus\r\nnonconstructive.","lang":"eng"}],"type":"journal_article","publication":"Des. Codes Cryptogr.","doi":"10.1007/s10623-024-01471-1","title":"Nontrivial $t$-designs in polar spaces exist for all $t$","author":[{"id":"70420","full_name":"Weiß, Charlene","last_name":"Weiß","first_name":"Charlene"}],"date_created":"2024-01-08T14:39:54Z","volume":93,"date_updated":"2026-02-25T13:51:50Z","citation":{"bibtex":"@article{Weiß_2025, title={Nontrivial $t$-designs in polar spaces exist for all $t$}, volume={93}, DOI={<a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>}, journal={Des. Codes Cryptogr.}, author={Weiß, Charlene}, year={2025}, pages={971–981} }","mla":"Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” <i>Des. Codes Cryptogr.</i>, vol. 93, 2025, pp. 971–81, doi:<a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>.","short":"C. Weiß, Des. Codes Cryptogr. 93 (2025) 971–981.","apa":"Weiß, C. (2025). Nontrivial $t$-designs in polar spaces exist for all $t$. <i>Des. Codes Cryptogr.</i>, <i>93</i>, 971–981. <a href=\"https://doi.org/10.1007/s10623-024-01471-1\">https://doi.org/10.1007/s10623-024-01471-1</a>","ama":"Weiß C. Nontrivial $t$-designs in polar spaces exist for all $t$. <i>Des Codes Cryptogr</i>. 2025;93:971-981. doi:<a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>","chicago":"Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.” <i>Des. Codes Cryptogr.</i> 93 (2025): 971–81. <a href=\"https://doi.org/10.1007/s10623-024-01471-1\">https://doi.org/10.1007/s10623-024-01471-1</a>.","ieee":"C. Weiß, “Nontrivial $t$-designs in polar spaces exist for all $t$,” <i>Des. Codes Cryptogr.</i>, vol. 93, pp. 971–981, 2025, doi: <a href=\"https://doi.org/10.1007/s10623-024-01471-1\">10.1007/s10623-024-01471-1</a>."},"page":"971 - 981","intvolume":"        93","year":"2025","publication_status":"published"},{"publication_status":"published","publication_identifier":{"issn":["0095-4616","1432-0606"]},"issue":"2","year":"2025","citation":{"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>.","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>.","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>","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>","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>.","short":"M. Winkler, Applied Mathematics &#38; Optimization 91 (2025).","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} }"},"intvolume":"        91","publisher":"Springer Science and Business Media LLC","date_updated":"2026-02-26T15:59:30Z","date_created":"2025-04-02T11:23:25Z","author":[{"full_name":"Winkler, Michael","id":"31496","last_name":"Winkler","first_name":"Michael"}],"volume":91,"title":"Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters","doi":"10.1007/s00245-025-10243-9","type":"journal_article","publication":"Applied Mathematics & Optimization","status":"public","project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"_id":"59258","user_id":"11829","department":[{"_id":"90"}],"article_number":"44","language":[{"iso":"eng"}]},{"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","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).","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.","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} }","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.","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.","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."},"quality_controlled":"1","issue":"4","language":[{"iso":"eng"}],"_id":"64736","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","editor":[{"last_name":"Frahm","full_name":"Frahm, Jan","first_name":"Jan"},{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"},{"full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert","first_name":"Joachim"},{"first_name":"Gestur","last_name":"Olafsson","full_name":"Olafsson, Gestur"}],"status":"public","publication":"J. Lie Theory","type":"journal_editor"},{"_id":"64770","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","language":[{"iso":"eng"}],"type":"dissertation","status":"public","oa":"1","date_updated":"2026-02-26T21:58:36Z","supervisor":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"}],"author":[{"first_name":"Matthieu","last_name":"Pinaud","full_name":"Pinaud, Matthieu"}],"date_created":"2026-02-26T21:58:22Z","title":"Manifold of mappings and regularity properties of half-Lie groups","doi":"10.17619/UNIPB/1-2211","main_file_link":[{"open_access":"1","url":"https://nbn-resolving.org/urn:nbn:de:hbz:466:2-54221"}],"year":"2025","citation":{"ieee":"M. Pinaud, <i>Manifold of mappings and regularity properties of half-Lie groups</i>. 2025.","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>.","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>","short":"M. Pinaud, Manifold of Mappings and Regularity Properties of Half-Lie Groups, 2025.","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} }","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>."}},{"quality_controlled":"1","intvolume":"       252","citation":{"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} }","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>.","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>","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>","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>.","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>."},"year":"2025","volume":252,"author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"date_created":"2022-12-22T07:49:32Z","date_updated":"2024-12-24T16:58:38Z","doi":"10.1016/j.na.2024.113690","title":"Lie groups of real analytic diffeomorphisms are L^1-regular","publication":"Nonlinear Analysis","type":"journal_article","status":"public","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."}],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34807","language":[{"iso":"eng"}],"article_number":"113690"},{"year":"2025","title":"Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility","publisher":"Schloss Dagstuhl -- Leibniz-Zentrum für Informatik","date_created":"2024-10-01T13:29:43Z","abstract":[{"lang":"eng","text":"In the general pattern formation (GPF) problem, a swarm of simple autonomous,\r\ndisoriented robots must form a given pattern. The robots' simplicity imply a\r\nstrong limitation: When the initial configuration is rotationally symmetric,\r\nonly patterns with a similar symmetry can be formed [Yamashita, Suzyuki; TCS\r\n2010]. The only known algorithm to form large patterns with limited visibility\r\nand without memory requires the robots to start in a near-gathering (a swarm of\r\nconstant diameter) [Hahn et al.; SAND 2024]. However, not only do we not know\r\nany near-gathering algorithm guaranteed to preserve symmetry but most natural\r\ngathering strategies trivially increase symmetries [Castenow et al.; OPODIS\r\n2022].\r\n  Thus, we study near-gathering without changing the swarm's rotational\r\nsymmetry for disoriented, oblivious robots with limited visibility (the\r\nOBLOT-model, see [Flocchini et al.; 2019]). We introduce a technique based on\r\nthe theory of dynamical systems to analyze how a given algorithm affects\r\nsymmetry and provide sufficient conditions for symmetry preservation. Until\r\nnow, it was unknown whether the considered OBLOT-model allows for any\r\nnon-trivial algorithm that always preserves symmetry. Our first result shows\r\nthat a variant of Go-to-the-Average always preserves symmetry but may sometimes\r\nlead to multiple, unconnected near-gathering clusters. Our second result is a\r\nsymmetry-preserving near-gathering algorithm that works on swarms with a convex\r\nboundary (the outer boundary of the unit disc graph) and without holes (circles\r\nof diameter 1 inside the boundary without any robots)."}],"publication":"28th International Conference on Principles of Distributed Systems (OPODIS 2024)","keyword":["Swarm Algorithm","Swarm Robots","Distributed Algorithm","Pattern Formation","Limited Visibility","Oblivious"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2409.19277"]},"intvolume":"       324","citation":{"ama":"Gerlach R, von der Gracht S, Hahn C, Harbig J, Kling P. Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In: Bonomi S, Galletta L, Rivière  Etienne, Schiavoni  Valerio, eds. <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>. Vol 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik; 2025. doi:<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>","ieee":"R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility,” in <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>, Lucca, Italy, 2025, vol. 324, doi: <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>.","chicago":"Gerlach, Raphael, Sören von der Gracht, Christopher Hahn, Jonas Harbig, and Peter Kling. “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility.” In <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>, edited by Silvia Bonomi, Letterio Galletta,  Etienne Rivière, and  Valerio Schiavoni, Vol. 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025. <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">https://doi.org/10.4230/LIPIcs.OPODIS.2024.13</a>.","apa":"Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., &#38; Kling, P. (2025). Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In S. Bonomi, L. Galletta,  Etienne Rivière, &#38;  Valerio Schiavoni (Eds.), <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i> (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">https://doi.org/10.4230/LIPIcs.OPODIS.2024.13</a>","mla":"Gerlach, Raphael, et al. “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility.” <i>28th International Conference on Principles of Distributed Systems (OPODIS 2024)</i>, edited by Silvia Bonomi et al., vol. 324, Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025, doi:<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>.","short":"R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi, L. Galletta,  Etienne Rivière,  Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.","bibtex":"@inproceedings{Gerlach_von der Gracht_Hahn_Harbig_Kling_2025, series={Leibniz International Proceedings in Informatics (LIPIcs)}, title={Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility}, volume={324}, DOI={<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2024.13\">10.4230/LIPIcs.OPODIS.2024.13</a>}, booktitle={28th International Conference on Principles of Distributed Systems (OPODIS 2024)}, publisher={Schloss Dagstuhl -- Leibniz-Zentrum für Informatik}, author={Gerlach, Raphael and von der Gracht, Sören and Hahn, Christopher and Harbig, Jonas and Kling, Peter}, editor={Bonomi, Silvia and Galletta, Letterio and Rivière,  Etienne and Schiavoni,  Valerio}, year={2025}, collection={Leibniz International Proceedings in Informatics (LIPIcs)} }"},"publication_identifier":{"isbn":["978-3-95977-360-7"],"issn":["1868-8969"]},"publication_status":"published","doi":"10.4230/LIPIcs.OPODIS.2024.13","conference":{"start_date":"2024-12-11","name":"28th International Conference on Principles of Distributed Systems (OPODIS 2024)","location":"Lucca, Italy","end_date":"2024-12-13"},"main_file_link":[{"url":"https://arxiv.org/abs/2409.19277","open_access":"1"}],"date_updated":"2025-01-09T11:39:19Z","oa":"1","volume":324,"author":[{"first_name":"Raphael","orcid":"0009-0002-4750-2051","last_name":"Gerlach","id":"32655","full_name":"Gerlach, Raphael"},{"full_name":"von der Gracht, Sören","id":"97359","orcid":"0000-0002-8054-2058","last_name":"von der Gracht","first_name":"Sören"},{"full_name":"Hahn, Christopher","last_name":"Hahn","first_name":"Christopher"},{"first_name":"Jonas","last_name":"Harbig","id":"47213","full_name":"Harbig, Jonas"},{"first_name":"Peter","full_name":"Kling, Peter","last_name":"Kling"}],"editor":[{"full_name":"Bonomi, Silvia","last_name":"Bonomi","first_name":"Silvia"},{"first_name":"Letterio","last_name":"Galletta","full_name":"Galletta, Letterio"},{"first_name":" Etienne","last_name":"Rivière","full_name":"Rivière,  Etienne"},{"last_name":"Schiavoni","full_name":"Schiavoni,  Valerio","first_name":" Valerio"}],"status":"public","type":"conference","_id":"56298","project":[{"grant_number":"453112019","_id":"106","name":"Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme"}],"department":[{"_id":"101"}],"series_title":"Leibniz International Proceedings in Informatics (LIPIcs)","user_id":"97359"},{"citation":{"apa":"Bullerjahn, N. (2025). Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions. <i>ArXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">https://doi.org/10.48550/ARXIV.2502.03847</a>","bibtex":"@article{Bullerjahn_2025, title={Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>}, journal={arXiv}, author={Bullerjahn, Nils}, year={2025} }","short":"N. Bullerjahn, ArXiv (2025).","mla":"Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost Mass Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.” <i>ArXiv</i>, 2025, doi:<a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>.","ama":"Bullerjahn N. Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions. <i>arXiv</i>. Published online 2025. doi:<a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>","ieee":"N. Bullerjahn, “Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions,” <i>arXiv</i>, 2025, doi: <a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">10.48550/ARXIV.2502.03847</a>.","chicago":"Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost Mass Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.” <i>ArXiv</i>, 2025. <a href=\"https://doi.org/10.48550/ARXIV.2502.03847\">https://doi.org/10.48550/ARXIV.2502.03847</a>."},"year":"2025","doi":"10.48550/ARXIV.2502.03847","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","date_created":"2025-02-07T08:27:10Z","author":[{"orcid":"https://orcid.org/0009-0003-8460-1574","last_name":"Bullerjahn","full_name":"Bullerjahn, Nils","id":"103797","first_name":"Nils"}],"date_updated":"2025-02-07T08:28:48Z","status":"public","publication":"arXiv","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"841"}],"user_id":"103797","_id":"58532"},{"status":"public","abstract":[{"text":"We introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. The classes physically correspond to field excitations in terms of single and multiple photons, each of which being in an arbitrary irreducible superposition of quantized modes. We further show how the transitions between classes are rendered possible by photon addition, photon subtraction, and photon-projection nonlinearities. We explicitly put forward a design for a multilayer interferometer in which the states for different classes can be generated with state-of-the-art experimental techniques. Limitations of the proposed designs are analyzed using the introduced classification, providing a benchmark for the robustness of certain states and classes. ","lang":"eng"}],"type":"preprint","language":[{"iso":"eng"}],"department":[{"_id":"623"},{"_id":"15"},{"_id":"636"}],"user_id":"85279","_id":"58544","external_id":{"arxiv":["2502.05123"]},"citation":{"short":"D. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier, P. Sharapova, J. Sperling, (n.d.).","mla":"Kopylov, Denis, et al. <i>Multiphoton, Multimode State Classification for Nonlinear Optical Circuits </i>.","bibtex":"@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling, title={Multiphoton, multimode state classification for nonlinear optical circuits }, author={Kopylov, Denis and Offen, Christian and Ares, Laura and Wembe Moafo, Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina and Sperling, Jan} }","apa":"Kopylov, D., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier, T., Sharapova, P., &#38; Sperling, J. (n.d.). <i>Multiphoton, multimode state classification for nonlinear optical circuits </i>.","ama":"Kopylov D, Offen C, Ares L, et al. Multiphoton, multimode state classification for nonlinear optical circuits .","ieee":"D. Kopylov <i>et al.</i>, “Multiphoton, multimode state classification for nonlinear optical circuits .” .","chicago":"Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits ,” n.d."},"year":"2025","publication_status":"submitted","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2502.05123","open_access":"1"}],"title":"Multiphoton, multimode state classification for nonlinear optical circuits ","date_created":"2025-02-10T08:26:45Z","author":[{"last_name":"Kopylov","id":"98502","full_name":"Kopylov, Denis","first_name":"Denis"},{"first_name":"Christian","last_name":"Offen","orcid":"0000-0002-5940-8057","full_name":"Offen, Christian","id":"85279"},{"first_name":"Laura","full_name":"Ares, Laura","last_name":"Ares"},{"first_name":"Boris Edgar","id":"95394","full_name":"Wembe Moafo, Boris Edgar","last_name":"Wembe Moafo"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494","last_name":"Ober-Blöbaum"},{"first_name":"Torsten","id":"344","full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072"},{"full_name":"Sharapova, Polina","id":"60286","last_name":"Sharapova","first_name":"Polina"},{"full_name":"Sperling, Jan","id":"75127","last_name":"Sperling","orcid":"0000-0002-5844-3205","first_name":"Jan"}],"oa":"1","date_updated":"2025-02-10T08:36:12Z"},{"title":"Mathematics education for girls in Prussia 1890–1925","doi":"10.1016/j.jmathb.2025.101242","date_updated":"2025-03-10T10:54:03Z","publisher":"Elsevier BV","volume":79,"date_created":"2025-03-10T10:46:07Z","author":[{"full_name":"Krüger, Katja","last_name":"Krüger","first_name":"Katja"},{"full_name":"Werth, Gerda","id":"578","last_name":"Werth","first_name":"Gerda"}],"year":"2025","intvolume":"        79","citation":{"apa":"Krüger, K., &#38; Werth, G. (2025). Mathematics education for girls in Prussia 1890–1925. <i>The Journal of Mathematical Behavior</i>, <i>79</i>, Article 101242. <a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">https://doi.org/10.1016/j.jmathb.2025.101242</a>","bibtex":"@article{Krüger_Werth_2025, title={Mathematics education for girls in Prussia 1890–1925}, volume={79}, DOI={<a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>}, number={101242}, journal={The Journal of Mathematical Behavior}, publisher={Elsevier BV}, author={Krüger, Katja and Werth, Gerda}, year={2025} }","short":"K. Krüger, G. Werth, The Journal of Mathematical Behavior 79 (2025).","mla":"Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia 1890–1925.” <i>The Journal of Mathematical Behavior</i>, vol. 79, 101242, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>.","ieee":"K. Krüger and G. Werth, “Mathematics education for girls in Prussia 1890–1925,” <i>The Journal of Mathematical Behavior</i>, vol. 79, Art. no. 101242, 2025, doi: <a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>.","chicago":"Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia 1890–1925.” <i>The Journal of Mathematical Behavior</i> 79 (2025). <a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">https://doi.org/10.1016/j.jmathb.2025.101242</a>.","ama":"Krüger K, Werth G. Mathematics education for girls in Prussia 1890–1925. <i>The Journal of Mathematical Behavior</i>. 2025;79. doi:<a href=\"https://doi.org/10.1016/j.jmathb.2025.101242\">10.1016/j.jmathb.2025.101242</a>"},"publication_identifier":{"issn":["0732-3123"]},"publication_status":"published","article_number":"101242","language":[{"iso":"eng"}],"_id":"58947","department":[{"_id":"34"},{"_id":"10"},{"_id":"98"},{"_id":"360"}],"user_id":"578","status":"public","publication":"The Journal of Mathematical Behavior","type":"journal_article"}]