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Published online 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."},"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."}],"external_id":{"arxiv":["arXiv:2512.16548"]},"date_created":"2026-01-12T14:11:47Z","type":"preprint","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}]},{"abstract":[{"text":"Prüfungen sind ein wesentlicher Bestandteil des Mathematikunterrichts. Mündliche Prüfungsformate sind insbesondere in Abschlussprüfungen üblich, wurden aber bislang kaum untersucht. Dieses Projekt widmet sich dem Vorkommen und der Bedeutung verschiedener Wissensarten in mündlichen Prüfungen. Dazu soll auf Grundlage videografierter Prüfungsgespräche eine Taxonomie für abgefragte Wissensarten entwickelt werden. Der Vortrag präsentiert die Konzeption sowie erste Ergebnisse einer Vorstudie, die als Basis für eine vertiefte Analyse realer Prüfungen dient.","lang":"ger"}],"publication":"Beiträge zum Mathematikunterricht 2025","citation":{"ama":"Hellmund J. Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt? In: Schick L, Platz M, Lambert A, eds. <i>Beiträge zum Mathematikunterricht 2025</i>. WTM; 2025:1417. doi:<a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>","bibtex":"@inproceedings{Hellmund_2025, title={Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?}, DOI={<a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>}, booktitle={Beiträge zum Mathematikunterricht 2025}, publisher={WTM}, author={Hellmund, Johannes}, editor={Schick, L. and Platz, M. and Lambert, A.}, year={2025}, pages={1417} }","mla":"Hellmund, Johannes. “Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?” <i>Beiträge zum Mathematikunterricht 2025</i>, edited by L. Schick et al., WTM, 2025, p. 1417, doi:<a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>.","short":"J. Hellmund, in: L. Schick, M. Platz, A. Lambert (Eds.), Beiträge zum Mathematikunterricht 2025, WTM, 2025, p. 1417.","chicago":"Hellmund, Johannes. “Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?” In <i>Beiträge zum Mathematikunterricht 2025</i>, edited by L. Schick, M. Platz, and A. Lambert, 1417. WTM, 2025. <a href=\"https://doi.org/10.17877/DE290R-25900\">https://doi.org/10.17877/DE290R-25900</a>.","apa":"Hellmund, J. (2025). Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt? In L. Schick, M. Platz, &#38; A. Lambert (Eds.), <i>Beiträge zum Mathematikunterricht 2025</i> (p. 1417). WTM. <a href=\"https://doi.org/10.17877/DE290R-25900\">https://doi.org/10.17877/DE290R-25900</a>","ieee":"J. Hellmund, “Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?,” in <i>Beiträge zum Mathematikunterricht 2025</i>, Saarbrücken, 2025, p. 1417, doi: <a href=\"https://doi.org/10.17877/DE290R-25900\">10.17877/DE290R-25900</a>."},"type":"conference","department":[{"_id":"979"},{"_id":"983"}],"date_created":"2026-01-12T17:16:19Z","date_updated":"2026-01-12T17:18:39Z","status":"public","title":"Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden abgefragt?","year":"2025","author":[{"full_name":"Hellmund, Johannes","first_name":"Johannes","last_name":"Hellmund","id":"111364"}],"conference":{"end_date":"2025-03-07","location":"Saarbrücken","start_date":"2025-03-03","name":"58. Jahrestagung der Gesellschaft für Didaktik der Mathematik"},"user_id":"111364","doi":"10.17877/DE290R-25900","editor":[{"last_name":"Schick","first_name":"L.","full_name":"Schick, L."},{"full_name":"Platz, M.","last_name":"Platz","first_name":"M."},{"last_name":"Lambert","first_name":"A.","full_name":"Lambert, A."}],"page":"1417","language":[{"iso":"ger"}],"_id":"63571","publisher":"WTM"},{"type":"conference","department":[{"_id":"574"},{"_id":"923"}],"date_created":"2026-01-12T17:13:22Z","place":"Cham","publication":"Lecture Notes in Computer Science","citation":{"ieee":"C. Demir, M. O. Yekini, M. Röder, Y. Mahmood, and A.-C. Ngonga Ngomo, “Tree-Based OWL Class Expression Learner over Large Graphs,” presented at the European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, Porto, 2025, doi: <a href=\"https://doi.org/10.1007/978-3-032-06066-2_29\">10.1007/978-3-032-06066-2_29</a>.","apa":"Demir, C., Yekini, M. O., Röder, M., Mahmood, Y., &#38; Ngonga Ngomo, A.-C. (2025). Tree-Based OWL Class Expression Learner over Large Graphs. <i>Lecture Notes in Computer Science</i>. European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, Porto. <a href=\"https://doi.org/10.1007/978-3-032-06066-2_29\">https://doi.org/10.1007/978-3-032-06066-2_29</a>","chicago":"Demir, Caglar, Moshood Olawale Yekini, Michael Röder, Yasir Mahmood, and Axel-Cyrille Ngonga Ngomo. “Tree-Based OWL Class Expression Learner over Large Graphs.” In <i>Lecture Notes in Computer Science</i>. Cham: Springer Nature Switzerland, 2025. <a href=\"https://doi.org/10.1007/978-3-032-06066-2_29\">https://doi.org/10.1007/978-3-032-06066-2_29</a>.","short":"C. Demir, M.O. Yekini, M. Röder, Y. Mahmood, A.-C. Ngonga Ngomo, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2025.","mla":"Demir, Caglar, et al. “Tree-Based OWL Class Expression Learner over Large Graphs.” <i>Lecture Notes in Computer Science</i>, Springer Nature Switzerland, 2025, doi:<a href=\"https://doi.org/10.1007/978-3-032-06066-2_29\">10.1007/978-3-032-06066-2_29</a>.","bibtex":"@inproceedings{Demir_Yekini_Röder_Mahmood_Ngonga Ngomo_2025, place={Cham}, title={Tree-Based OWL Class Expression Learner over Large Graphs}, DOI={<a href=\"https://doi.org/10.1007/978-3-032-06066-2_29\">10.1007/978-3-032-06066-2_29</a>}, booktitle={Lecture Notes in Computer Science}, publisher={Springer Nature Switzerland}, author={Demir, Caglar and Yekini, Moshood Olawale and Röder, Michael and Mahmood, Yasir and Ngonga Ngomo, Axel-Cyrille}, year={2025} }","ama":"Demir C, Yekini MO, Röder M, Mahmood Y, Ngonga Ngomo A-C. Tree-Based OWL Class Expression Learner over Large Graphs. 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Cham: Springer Nature Switzerland, 2025. <a href=\"https://doi.org/10.1007/978-3-032-09527-5_6\">https://doi.org/10.1007/978-3-032-09527-5_6</a>.","ama":"Memariani A, Röder M, Sharma A, Demir C, Ngonga Ngomo A-C. Link Prediction Under Non-targeted Attacks: Do Soft Labels Always Help? In: <i>Lecture Notes in Computer Science</i>. Springer Nature Switzerland; 2025. doi:<a href=\"https://doi.org/10.1007/978-3-032-09527-5_6\">10.1007/978-3-032-09527-5_6</a>","short":"A. Memariani, M. Röder, A. Sharma, C. Demir, A.-C. Ngonga Ngomo, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2025.","ieee":"A. Memariani, M. Röder, A. Sharma, C. Demir, and A.-C. Ngonga Ngomo, “Link Prediction Under Non-targeted Attacks: Do Soft Labels Always Help?,” 2025, doi: <a href=\"https://doi.org/10.1007/978-3-032-09527-5_6\">10.1007/978-3-032-09527-5_6</a>.","mla":"Memariani, Adel, et al. “Link Prediction Under Non-Targeted Attacks: Do Soft Labels Always Help?” <i>Lecture Notes in Computer Science</i>, Springer Nature Switzerland, 2025, doi:<a href=\"https://doi.org/10.1007/978-3-032-09527-5_6\">10.1007/978-3-032-09527-5_6</a>.","apa":"Memariani, A., Röder, M., Sharma, A., Demir, C., &#38; Ngonga Ngomo, A.-C. (2025). 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Gesellschaft Für Didaktik Der Chemie Und Physik Jahrestagung 2024 in Bochum (2025).","chicago":"Weiler, David, Jan-Philipp Burde, Kasim Costan, Rike Isabel Große-Heilmann, Christoph Kulgemeyer, Armin Lässer, Josef Riese, and Thomas Schubatzky. “Bedürfnisse von Lehrkräften Zu Digitalen Medien Adressieren! .” <i>Lernen, Lehren Und Forschen Im Schülerlabor. Gesellschaft Für Didaktik Der Chemie Und Physik Jahrestagung 2024 in Bochum</i>, 2025.","apa":"Weiler, D., Burde, J.-P., Costan, K., Große-Heilmann, R. I., Kulgemeyer, C., Lässer, A., Riese, J., &#38; Schubatzky, T. (2025). Bedürfnisse von Lehrkräften zu digitalen Medien adressieren! . In <i>Lernen, lehren und forschen im Schülerlabor. Gesellschaft Für Didaktik Der Chemie Und Physik Jahrestagung 2024 in Bochum</i>.","ieee":"D. Weiler <i>et al.</i>, “Bedürfnisse von Lehrkräften zu digitalen Medien adressieren! ,” <i>Lernen, lehren und forschen im Schülerlabor. 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Gesellschaft Für Didaktik Der Chemie Und Physik Jahrestagung 2024 in Bochum","user_id":"99511","_id":"57235","language":[{"iso":"eng"}],"date_updated":"2024-11-19T11:39:16Z","author":[{"full_name":"Weiler, David","last_name":"Weiler","first_name":"David"},{"full_name":"Burde, Jan-Philipp","last_name":"Burde","first_name":"Jan-Philipp"},{"first_name":"Kasim","last_name":"Costan","full_name":"Costan, Kasim"},{"last_name":"Große-Heilmann","first_name":"Rike Isabel","full_name":"Große-Heilmann, Rike Isabel"},{"id":"84533","first_name":"Christoph","last_name":"Kulgemeyer","full_name":"Kulgemeyer, Christoph"},{"full_name":"Lässer, Armin","first_name":"Armin","last_name":"Lässer"},{"id":"429","full_name":"Riese, Josef","first_name":"Josef","last_name":"Riese","orcid":"0000-0003-2927-2619"},{"full_name":"Schubatzky, Thomas","first_name":"Thomas","last_name":"Schubatzky"}],"title":"Bedürfnisse von Lehrkräften zu digitalen Medien adressieren! ","year":"2025","status":"public"},{"citation":{"ama":"Knickenberg M, Hoya F, Hellmich F. Wahrnehmung und Effekte elterlichen Feedbacks auf die Lesemotivation und -leistung von Grundschulkindern. Vortrag im Rahmen des Symposiums „Lernen durch Feedback von Lehrpersonen, Eltern und Schüler:innen“ (Sebastian Röhl &#38; Fabian Hoya) auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“. In: Universität Mannheim; 2025.","bibtex":"@inproceedings{Knickenberg_Hoya_Hellmich_2025, place={Mannheim}, title={Wahrnehmung und Effekte elterlichen Feedbacks auf die Lesemotivation und -leistung von Grundschulkindern. Vortrag im Rahmen des Symposiums „Lernen durch Feedback von Lehrpersonen, Eltern und Schüler:innen“ (Sebastian Röhl &#38; Fabian Hoya) auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“}, publisher={Universität Mannheim}, author={Knickenberg, Margarita and Hoya, Fabian and Hellmich, Frank}, year={2025} }","mla":"Knickenberg, Margarita, et al. <i>Wahrnehmung Und Effekte Elterlichen Feedbacks Auf Die Lesemotivation Und -Leistung von Grundschulkindern. Vortrag Im Rahmen Des Symposiums „Lernen Durch Feedback von Lehrpersonen, Eltern Und Schüler:Innen“ (Sebastian Röhl &#38; Fabian Hoya) Auf Der 12. Tagung Der Gesellschaft Für Empirische Bildungsforschung (GEBF). Thema: „Bildung Als Schlüssel Für Gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge Aus Der Bildungsforschung“</i>. Universität Mannheim, 2025.","chicago":"Knickenberg, Margarita, Fabian Hoya, and Frank Hellmich. “Wahrnehmung Und Effekte Elterlichen Feedbacks Auf Die Lesemotivation Und -Leistung von Grundschulkindern. Vortrag Im Rahmen Des Symposiums „Lernen Durch Feedback von Lehrpersonen, Eltern Und Schüler:Innen“ (Sebastian Röhl &#38; Fabian Hoya) Auf Der 12. Tagung Der Gesellschaft Für Empirische Bildungsforschung (GEBF). Thema: „Bildung Als Schlüssel Für Gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge Aus Der Bildungsforschung“.” Mannheim: Universität Mannheim, 2025.","short":"M. Knickenberg, F. Hoya, F. Hellmich, in: Universität Mannheim, Mannheim, 2025.","apa":"Knickenberg, M., Hoya, F., &#38; Hellmich, F. (2025). <i>Wahrnehmung und Effekte elterlichen Feedbacks auf die Lesemotivation und -leistung von Grundschulkindern. Vortrag im Rahmen des Symposiums „Lernen durch Feedback von Lehrpersonen, Eltern und Schüler:innen“ (Sebastian Röhl &#38; Fabian Hoya) auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“</i>.","ieee":"M. Knickenberg, F. Hoya, and F. Hellmich, “Wahrnehmung und Effekte elterlichen Feedbacks auf die Lesemotivation und -leistung von Grundschulkindern. Vortrag im Rahmen des Symposiums „Lernen durch Feedback von Lehrpersonen, Eltern und Schüler:innen“ (Sebastian Röhl &#38; Fabian Hoya) auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“,” 2025."},"type":"conference_abstract","department":[{"_id":"460"}],"date_created":"2024-10-06T20:20:34Z","place":"Mannheim","date_updated":"2024-12-18T10:27:57Z","title":"Wahrnehmung und Effekte elterlichen Feedbacks auf die Lesemotivation und -leistung von Grundschulkindern. Vortrag im Rahmen des Symposiums „Lernen durch Feedback von Lehrpersonen, Eltern und Schüler:innen“ (Sebastian Röhl & Fabian Hoya) auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“","status":"public","year":"2025","author":[{"orcid":"0000-0001-5521-0417","last_name":"Knickenberg","first_name":"Margarita","full_name":"Knickenberg, Margarita","id":"12978"},{"first_name":"Fabian","last_name":"Hoya","full_name":"Hoya, Fabian"},{"id":"26282","last_name":"Hellmich","first_name":"Frank","full_name":"Hellmich, Frank"}],"user_id":"57672","language":[{"iso":"eng"}],"_id":"56337","publisher":"Universität Mannheim"},{"citation":{"bibtex":"@inproceedings{Löper_Hellmich_2025, place={Mannheim}, title={ Determinanten für prosoziales Verhalten und Einstellungen von Grundschulkindern gegenüber Peers mit emotional-sozialem Förderbedarf. Vortrag auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“}, publisher={Universität Mannheim}, author={Löper, Marwin Felix and Hellmich, Frank}, year={2025} }","ama":"Löper MF, Hellmich F.  Determinanten für prosoziales Verhalten und Einstellungen von Grundschulkindern gegenüber Peers mit emotional-sozialem Förderbedarf. Vortrag auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“. In: Universität Mannheim; 2025.","mla":"Löper, Marwin Felix, and Frank Hellmich. <i> Determinanten Für Prosoziales Verhalten Und Einstellungen von Grundschulkindern Gegenüber Peers Mit Emotional-Sozialem Förderbedarf. Vortrag Auf Der 12. Tagung Der Gesellschaft Für Empirische Bildungsforschung (GEBF). Thema: „Bildung Als Schlüssel Für Gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge Aus Der Bildungsforschung“</i>. Universität Mannheim, 2025.","chicago":"Löper, Marwin Felix, and Frank Hellmich. “ Determinanten Für Prosoziales Verhalten Und Einstellungen von Grundschulkindern Gegenüber Peers Mit Emotional-Sozialem Förderbedarf. Vortrag Auf Der 12. Tagung Der Gesellschaft Für Empirische Bildungsforschung (GEBF). Thema: „Bildung Als Schlüssel Für Gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge Aus Der Bildungsforschung“.” Mannheim: Universität Mannheim, 2025.","short":"M.F. Löper, F. Hellmich, in: Universität Mannheim, Mannheim, 2025.","ieee":"M. F. Löper and F. Hellmich, “ Determinanten für prosoziales Verhalten und Einstellungen von Grundschulkindern gegenüber Peers mit emotional-sozialem Förderbedarf. Vortrag auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“,” 2025.","apa":"Löper, M. F., &#38; Hellmich, F. (2025). <i> Determinanten für prosoziales Verhalten und Einstellungen von Grundschulkindern gegenüber Peers mit emotional-sozialem Förderbedarf. Vortrag auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“</i>."},"department":[{"_id":"460"}],"type":"conference_abstract","place":"Mannheim","date_created":"2024-10-06T20:19:14Z","date_updated":"2024-12-18T10:33:29Z","author":[{"full_name":"Löper, Marwin Felix","last_name":"Löper","first_name":"Marwin Felix","id":"26693"},{"id":"26282","first_name":"Frank","last_name":"Hellmich","full_name":"Hellmich, Frank"}],"title":" Determinanten für prosoziales Verhalten und Einstellungen von Grundschulkindern gegenüber Peers mit emotional-sozialem Förderbedarf. Vortrag auf der 12. Tagung der Gesellschaft für Empirische Bildungsforschung (GEBF). Thema: „Bildung als Schlüssel für gesellschaftliche Herausforderungen: Interdisziplinäre Beiträge aus der Bildungsforschung“","status":"public","year":"2025","user_id":"57672","language":[{"iso":"eng"}],"_id":"56336","publisher":"Universität Mannheim"},{"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."}],"quality_controlled":"1","publication":"Nonlinear Analysis","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>.","short":"H. Glöckner, Nonlinear Analysis 252 (2025).","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>","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} }","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>","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>.","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>."},"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2022-12-22T07:49:32Z","date_updated":"2024-12-24T16:58:38Z","intvolume":"       252","year":"2025","title":"Lie groups of real analytic diffeomorphisms are L^1-regular","status":"public","author":[{"id":"178","full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner"}],"doi":"10.1016/j.na.2024.113690","user_id":"178","volume":252,"article_number":"113690","language":[{"iso":"eng"}],"_id":"34807"},{"user_id":"91663","alternative_title":["Mit den ZRM®-Coaching-Methoden zu mehr Gelassenheit und Wohlbefinden"],"_id":"57850","language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2024-12-22T17:44:52Z","title":"Meine Schwangerschaft - so individuell wie ich! ","status":"public","year":"2025","publication_identifier":{"isbn":["9783456862712"]},"author":[{"id":"91663","first_name":"Tamara","last_name":"Schneider","full_name":"Schneider, Tamara"},{"first_name":"Julia ","last_name":"Weber","full_name":"Weber, Julia "}],"type":"book","department":[{"_id":"36"}],"date_created":"2024-12-22T17:43:45Z","citation":{"mla":"Schneider, Tamara, and Julia Weber. <i>Meine Schwangerschaft - so individuell wie ich! </i>. 2025.","ama":"Schneider T, Weber J. <i>Meine Schwangerschaft - so individuell wie ich! </i>.; 2025.","bibtex":"@book{Schneider_Weber_2025, title={Meine Schwangerschaft - so individuell wie ich! }, author={Schneider, Tamara and Weber, Julia }, year={2025} }","apa":"Schneider, T., &#38; Weber, J. (2025). <i>Meine Schwangerschaft - so individuell wie ich! </i>.","ieee":"T. Schneider and J. Weber, <i>Meine Schwangerschaft - so individuell wie ich! </i>. 2025.","short":"T. Schneider, J. Weber, Meine Schwangerschaft - so individuell wie ich! , 2025.","chicago":"Schneider, Tamara, and Julia  Weber. <i>Meine Schwangerschaft - so individuell wie ich! </i>, 2025."}},{"place":"Berlin/Boston","citation":{"ieee":"T. Heise, <i>Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) </i>, vol. 166. Berlin/Boston: DeGruyter, 2025.","apa":"Heise, T. (2025). <i>Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) </i> (Vol. 166). DeGruyter. <a href=\"https://doi.org/10.1515/9783111525938\">https://doi.org/10.1515/9783111525938</a>","chicago":"Heise, Tillmann. <i>Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) </i>. Vol. 166. Studien und Texte zur Sozialgeschichte der Literatur. Berlin/Boston: DeGruyter, 2025. <a href=\"https://doi.org/10.1515/9783111525938\">https://doi.org/10.1515/9783111525938</a>.","short":"T. Heise, Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) , DeGruyter, Berlin/Boston, 2025.","mla":"Heise, Tillmann. <i>Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) </i>. DeGruyter, 2025, doi:<a href=\"https://doi.org/10.1515/9783111525938\">https://doi.org/10.1515/9783111525938</a>.","bibtex":"@book{Heise_2025, place={Berlin/Boston}, series={Studien und Texte zur Sozialgeschichte der Literatur}, title={Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) }, volume={166}, DOI={<a href=\"https://doi.org/10.1515/9783111525938\">https://doi.org/10.1515/9783111525938</a>}, publisher={DeGruyter}, author={Heise, Tillmann}, year={2025}, collection={Studien und Texte zur Sozialgeschichte der Literatur} }","ama":"Heise T. <i>Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) </i>. Vol 166. DeGruyter; 2025. doi:<a href=\"https://doi.org/10.1515/9783111525938\">https://doi.org/10.1515/9783111525938</a>"},"page":"519","_id":"54106","publisher":"DeGruyter","user_id":"103827","volume":166,"status":"public","date_created":"2024-05-08T14:13:58Z","type":"book","department":[{"_id":"5"}],"language":[{"iso":"ger"}],"series_title":"Studien und Texte zur Sozialgeschichte der Literatur","doi":"https://doi.org/10.1515/9783111525938","year":"2025","title":"Das ‚andere‘ Europa der Schriftsteller. Ideen, Netzwerke und Schreibweisen des antiliberalen Europa-Diskurses in Deutschland und Österreich (1918–1934) ","publication_identifier":{"isbn":["978-3-11-152346-0"]},"author":[{"id":"103827","last_name":"Heise","first_name":"Tillmann","full_name":"Heise, Tillmann"}],"date_updated":"2025-01-08T15:54:30Z","publication_status":"published","intvolume":"       166"},{"_id":"56298","publisher":"Schloss Dagstuhl -- Leibniz-Zentrum für Informatik","editor":[{"last_name":"Bonomi","first_name":"Silvia","full_name":"Bonomi, Silvia"},{"first_name":"Letterio","last_name":"Galletta","full_name":"Galletta, Letterio"},{"full_name":"Rivière,  Etienne","first_name":" Etienne","last_name":"Rivière"},{"full_name":"Schiavoni,  Valerio","last_name":"Schiavoni","first_name":" Valerio"}],"volume":324,"user_id":"97359","conference":{"location":"Lucca, Italy","start_date":"2024-12-11","name":"28th International Conference on Principles of Distributed Systems (OPODIS 2024)","end_date":"2024-12-13"},"status":"public","external_id":{"arxiv":["2409.19277"]},"oa":"1","citation":{"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>.","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>","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.","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>.","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>.","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)} }","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>"},"project":[{"grant_number":"453112019","_id":"106","name":"Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme"}],"series_title":"Leibniz International Proceedings in Informatics (LIPIcs)","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2409.19277"}],"doi":"10.4230/LIPIcs.OPODIS.2024.13","publication_identifier":{"isbn":["978-3-95977-360-7"],"issn":["1868-8969"]},"author":[{"id":"32655","full_name":"Gerlach, Raphael","orcid":"0009-0002-4750-2051","last_name":"Gerlach","first_name":"Raphael"},{"full_name":"von der Gracht, Sören","orcid":"0000-0002-8054-2058","first_name":"Sören","last_name":"von der Gracht","id":"97359"},{"last_name":"Hahn","first_name":"Christopher","full_name":"Hahn, Christopher"},{"id":"47213","last_name":"Harbig","first_name":"Jonas","full_name":"Harbig, Jonas"},{"first_name":"Peter","last_name":"Kling","full_name":"Kling, Peter"}],"year":"2025","title":"Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility","intvolume":"       324","date_updated":"2025-01-09T11:39:19Z","publication_status":"published","date_created":"2024-10-01T13:29:43Z","department":[{"_id":"101"}],"type":"conference","keyword":["Swarm Algorithm","Swarm Robots","Distributed Algorithm","Pattern Formation","Limited Visibility","Oblivious"],"publication":"28th International Conference on Principles of Distributed Systems (OPODIS 2024)","abstract":[{"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).","lang":"eng"}]},{"citation":{"ama":"Pramanik S, Mileaege D, Andreiev A, Hoyer K-P, Schaper M. Effect of Compression Rate and Pore Size Distribution on the Compression Behavior of Additively Manufactured Bio-inspired Fe3Si Microporous Material. <i>Journal of Materials Engineering and Performance</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1007/s11665-024-10618-z\">10.1007/s11665-024-10618-z</a>","bibtex":"@article{Pramanik_Mileaege_Andreiev_Hoyer_Schaper_2025, title={Effect of Compression Rate and Pore Size Distribution on the Compression Behavior of Additively Manufactured Bio-inspired Fe3Si Microporous Material}, DOI={<a href=\"https://doi.org/10.1007/s11665-024-10618-z\">10.1007/s11665-024-10618-z</a>}, journal={Journal of Materials Engineering and Performance}, publisher={Springer Science and Business Media LLC}, author={Pramanik, Sudipta and Mileaege, Dennis and Andreiev, Anatolii and Hoyer, Kay-Peter and Schaper, Mirko}, year={2025} }","mla":"Pramanik, Sudipta, et al. “Effect of Compression Rate and Pore Size Distribution on the Compression Behavior of Additively Manufactured Bio-Inspired Fe3Si Microporous Material.” <i>Journal of Materials Engineering and Performance</i>, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s11665-024-10618-z\">10.1007/s11665-024-10618-z</a>.","short":"S. Pramanik, D. Mileaege, A. Andreiev, K.-P. Hoyer, M. Schaper, Journal of Materials Engineering and Performance (2025).","chicago":"Pramanik, Sudipta, Dennis Mileaege, Anatolii Andreiev, Kay-Peter Hoyer, and Mirko Schaper. “Effect of Compression Rate and Pore Size Distribution on the Compression Behavior of Additively Manufactured Bio-Inspired Fe3Si Microporous Material.” <i>Journal of Materials Engineering and Performance</i>, 2025. <a href=\"https://doi.org/10.1007/s11665-024-10618-z\">https://doi.org/10.1007/s11665-024-10618-z</a>.","apa":"Pramanik, S., Mileaege, D., Andreiev, A., Hoyer, K.-P., &#38; Schaper, M. (2025). Effect of Compression Rate and Pore Size Distribution on the Compression Behavior of Additively Manufactured Bio-inspired Fe3Si Microporous Material. <i>Journal of Materials Engineering and Performance</i>. <a href=\"https://doi.org/10.1007/s11665-024-10618-z\">https://doi.org/10.1007/s11665-024-10618-z</a>","ieee":"S. Pramanik, D. Mileaege, A. Andreiev, K.-P. 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A Systematic Review of Learning Opportunities within the Crowdworkers’ Workplace. <i>Journal of Education and Learning</i>. 2025;14(2).","short":"S. Drechsler, C. Harteis, Journal of Education and Learning 14 (2025).","bibtex":"@article{Drechsler_Harteis_2025, title={A Systematic Review of Learning Opportunities within the Crowdworkers’ Workplace}, volume={14}, number={2}, journal={Journal of Education and Learning}, author={Drechsler, Stephan and Harteis, Christian}, year={2025} }","apa":"Drechsler, S., &#38; Harteis, C. (2025). A Systematic Review of Learning Opportunities within the Crowdworkers’ Workplace. <i>Journal of Education and Learning</i>, <i>14</i>(2).","mla":"Drechsler, Stephan, and Christian Harteis. “A Systematic Review of Learning Opportunities within the Crowdworkers’ Workplace.” <i>Journal of Education and Learning</i>, vol. 14, no. 2, 2025.","ieee":"S. Drechsler and C. 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Bullerjahn, ArXiv (2025).","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>. 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Kohlhammer GmbH, Stuttgart, 2025.","chicago":"Paul, Jürgen, Irene Schneider, Stephan Kokew, Jamal Malik, Fritz Schulze, Sebastian Günther, Paula Schrode, et al. <i>Islam II</i>. Edited by Georges Tamer, Peter Antes, Manfred Hutter, Jörg Rüpke, and Bettina Schmidt. Stuttgart: W. Kohlhammer GmbH, 2025. <a href=\"https://doi.org/10.17433/978-3-17-034023-7\">https://doi.org/10.17433/978-3-17-034023-7</a>.","bibtex":"@book{Paul_Schneider_Kokew_Malik_Schulze_Günther_Schrode_Rebstock_Gharaibeh_Würsch_et al._2025, place={Stuttgart}, title={Islam II}, DOI={<a href=\"https://doi.org/10.17433/978-3-17-034023-7\">10.17433/978-3-17-034023-7</a>}, publisher={W. Kohlhammer GmbH}, author={Paul, Jürgen and Schneider, Irene and Kokew, Stephan and Malik, Jamal and Schulze, Fritz and Günther, Sebastian and Schrode, Paula and Rebstock, Ulrich and Gharaibeh, Mohammad and Würsch, Renate and et al.}, editor={Tamer, Georges and Antes, Peter and Hutter, Manfred and Rüpke, Jörg and Schmidt, Bettina}, year={2025} }"}},{"place":"Bielefeld","citation":{"short":"S. Elit, in: S. Elit, N.O. Eke (Eds.), Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024, Aisthesis, Bielefeld, 2025, pp. 89–105.","chicago":"Elit, Stefan. “„Alles was gut ist“ – Jan Wagners lyrische Speisen (mit Getränken).” In <i>Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024</i>, edited by Stefan Elit and Norbert Otto Eke, 42:89–105. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Bielefeld: Aisthesis, 2025.","apa":"Elit, S. (2025). „Alles was gut ist“ – Jan Wagners lyrische Speisen (mit Getränken). In S. Elit &#38; N. O. Eke (Eds.), <i>Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024</i> (Vol. 42, pp. 89–105). Aisthesis.","ieee":"S. Elit, “„Alles was gut ist“ – Jan Wagners lyrische Speisen (mit Getränken),” in <i>Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024</i>, vol. 42, S. Elit and N. O. Eke, Eds. Bielefeld: Aisthesis, 2025, pp. 89–105.","ama":"Elit S. „Alles was gut ist“ – Jan Wagners lyrische Speisen (mit Getränken). In: Elit S, Eke NO, eds. <i>Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024</i>. Vol 42. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Aisthesis; 2025:89-105.","bibtex":"@inbook{Elit_2025, place={Bielefeld}, series={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller}, title={„Alles was gut ist“ – Jan Wagners lyrische Speisen (mit Getränken)}, volume={42}, booktitle={Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024}, publisher={Aisthesis}, author={Elit, Stefan}, editor={Elit, Stefan and Eke, Norbert Otto}, year={2025}, pages={89–105}, collection={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller} }","mla":"Elit, Stefan. “„Alles was gut ist“ – Jan Wagners lyrische Speisen (mit Getränken).” <i>Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024</i>, edited by Stefan Elit and Norbert Otto Eke, vol. 42, Aisthesis, 2025, pp. 89–105."},"publisher":"Aisthesis","_id":"58115","page":"89-105","volume":42,"editor":[{"full_name":"Elit, Stefan","last_name":"Elit","first_name":"Stefan"},{"first_name":"Norbert Otto","last_name":"Eke","full_name":"Eke, Norbert Otto"}],"user_id":"105","status":"public","date_created":"2025-01-08T20:01:58Z","department":[{"_id":"465"},{"_id":"5"}],"type":"book_chapter","publication":"Was im Gedicht geschieht: Jan Wagner. Paderborn Wintersemester 2023/2024","series_title":"Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller","language":[{"iso":"ger"}],"publication_identifier":{"isbn":["978-3-8498-2062-6"],"eisbn":["978-3-8498-2063-3"]},"author":[{"id":"105","orcid":"0000-0002-4719-1073","first_name":"Stefan","last_name":"Elit","full_name":"Elit, Stefan"}],"year":"2025","title":"„Alles was gut ist“ – Jan Wagners lyrische Speisen (mit Getränken)","intvolume":"        42","publication_status":"published","date_updated":"2025-02-09T11:19:09Z"},{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2502.05123","open_access":"1"}],"language":[{"iso":"eng"}],"_id":"58544","user_id":"85279","status":"public","year":"2025","title":"Multiphoton, multimode state classification for nonlinear optical circuits ","author":[{"id":"98502","first_name":"Denis","last_name":"Kopylov","full_name":"Kopylov, Denis"},{"full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian","last_name":"Offen","id":"85279"},{"full_name":"Ares, Laura","last_name":"Ares","first_name":"Laura"},{"last_name":"Wembe Moafo","first_name":"Boris Edgar","full_name":"Wembe Moafo, Boris Edgar","id":"95394"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten","full_name":"Meier, Torsten","id":"344"},{"first_name":"Polina","last_name":"Sharapova","full_name":"Sharapova, Polina","id":"60286"},{"id":"75127","orcid":"0000-0002-5844-3205","last_name":"Sperling","first_name":"Jan","full_name":"Sperling, Jan"}],"publication_status":"submitted","date_updated":"2025-02-10T08:36:12Z","external_id":{"arxiv":["2502.05123"]},"date_created":"2025-02-10T08:26:45Z","type":"preprint","department":[{"_id":"623"},{"_id":"15"},{"_id":"636"}],"oa":"1","citation":{"short":"D. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier, P. Sharapova, J. Sperling, (n.d.).","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.","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>.","ieee":"D. Kopylov <i>et al.</i>, “Multiphoton, multimode state classification for nonlinear optical circuits .” .","ama":"Kopylov D, Offen C, Ares L, et al. Multiphoton, multimode state classification for nonlinear optical circuits .","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} }","mla":"Kopylov, Denis, et al. <i>Multiphoton, Multimode State Classification for Nonlinear Optical Circuits </i>."},"abstract":[{"lang":"eng","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. "}]}]
