[{"user_id":"14931","title":"Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics","status":"public","date_created":"2024-02-05T08:47:35Z","editor":[{"full_name":"Drijvers, P.","first_name":"P.","last_name":"Drijvers"},{"last_name":"Csapodi","first_name":"C.","full_name":"Csapodi, C."},{"full_name":"Palmér, H.","first_name":"H.","last_name":"Palmér"},{"last_name":"Gosztonyi","first_name":"K.","full_name":"Gosztonyi, K."},{"first_name":"E.","full_name":"Kónya, E.","last_name":"Kónya"}],"author":[{"last_name":"Graf","id":"89837","first_name":"Lara Marie","full_name":"Graf, Lara Marie"},{"first_name":"Uta","full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","id":"60267"},{"first_name":"K.","full_name":"Höveler, K.","last_name":"Höveler"},{"full_name":"Nührenbörger, M.","first_name":"M.","last_name":"Nührenbörger"}],"publication":"Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)","department":[{"_id":"543"}],"corporate_editor":["Alfréd Rényi Institute of Mathematics and ERME"],"_id":"51131","date_updated":"2024-02-05T08:55:43Z","language":[{"iso":"eng"}],"year":"2023","citation":{"ieee":"L. M. Graf, U. Häsel-Weide, K. Höveler, and M. Nührenbörger, “Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics,” in Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), 2023, pp. 3203–3210.","short":"L.M. Graf, U. Häsel-Weide, K. Höveler, M. Nührenbörger, in: P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, Alfréd Rényi Institute of Mathematics and ERME (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), 2023, pp. 3203–3210.","mla":"Graf, Lara Marie, et al. “Insights into Out-of-Field Teachers’ Self-Reports: Fostering the Understanding of Addition and Subtraction as a Basis for Children to Overcome Difficulties in Mathematics.” Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by P. Drijvers et al., 2023, pp. 3203–10.","bibtex":"@inproceedings{Graf_Häsel-Weide_Höveler_Nührenbörger_2023, title={Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics}, booktitle={Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)}, author={Graf, Lara Marie and Häsel-Weide, Uta and Höveler, K. and Nührenbörger, M.}, editor={Drijvers, P. and Csapodi, C. and Palmér, H. and Gosztonyi, K. and Kónya, E. and Alfréd Rényi Institute of Mathematics and ERME}, year={2023}, pages={3203–3210} }","ama":"Graf LM, Häsel-Weide U, Höveler K, Nührenbörger M. Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics. In: Drijvers P, Csapodi C, Palmér H, Gosztonyi K, Kónya E, Alfréd Rényi Institute of Mathematics and ERME, eds. Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). ; 2023:3203-3210.","apa":"Graf, L. M., Häsel-Weide, U., Höveler, K., & Nührenbörger, M. (2023). Insights into out-of-field teachers’ self-reports: Fostering the understanding of addition and subtraction as a basis for children to overcome difficulties in mathematics. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, & Alfréd Rényi Institute of Mathematics and ERME (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 3203–3210).","chicago":"Graf, Lara Marie, Uta Häsel-Weide, K. Höveler, and M. Nührenbörger. “Insights into Out-of-Field Teachers’ Self-Reports: Fostering the Understanding of Addition and Subtraction as a Basis for Children to Overcome Difficulties in Mathematics.” In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, and Alfréd Rényi Institute of Mathematics and ERME, 3203–10, 2023."},"type":"conference","page":"3203-3210"},{"author":[{"id":"49178","last_name":"Weich","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias"},{"first_name":"Lasse Lennart","full_name":"Wolf, Lasse Lennart","last_name":"Wolf","id":"45027"}],"publication":"Communications in Mathematical Physics","department":[{"_id":"10"},{"_id":"548"},{"_id":"623"}],"volume":403,"publication_identifier":{"unknown":["1275-1295"]},"status":"public","date_created":"2022-05-11T10:38:11Z","external_id":{"arxiv":["2205.03167"]},"abstract":[{"text":"Given a geometrically finite hyperbolic surface of infinite volume it is a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding principal eigenvalues. A large class of examples fulfilling these\r\nassumptions are the non-compact quotients by Anosov subgroups.","lang":"eng"}],"title":"Absence of principal eigenvalues for higher rank locally symmetric spaces","user_id":"49178","type":"journal_article","year":"2023","citation":{"mla":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics, vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1.","bibtex":"@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher rank locally symmetric spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1}, journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }","chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1.","apa":"Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1","ama":"Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1","ieee":"T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank locally symmetric spaces,” Communications in Mathematical Physics, vol. 403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1.","short":"T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023)."},"language":[{"iso":"eng"}],"intvolume":" 403","_id":"31189","date_updated":"2024-02-06T20:52:40Z","doi":"https://doi.org/10.1007/s00220-023-04819-1"},{"type":"journal_article","citation":{"short":"P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678.","ieee":"P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems,” Communications in Mathematical Physics, vol. 398, pp. 655–678, 2023, doi: ttps://doi.org/10.1007/s00220-022-04538-z.","ama":"Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics. 2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z","apa":"Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z","chicago":"Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics 398 (2023): 655–78. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z.","bibtex":"@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={ttps://doi.org/10.1007/s00220-022-04538-z}, journal={Communications in Mathematical Physics}, author={Schütte, Philipp and Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }","mla":"Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical Physics, vol. 398, 2023, pp. 655–78, doi:ttps://doi.org/10.1007/s00220-022-04538-z."},"year":"2023","page":"655-678","language":[{"iso":"eng"}],"_id":"31059","date_updated":"2024-02-11T19:56:15Z","intvolume":" 398","doi":"ttps://doi.org/10.1007/s00220-022-04538-z","author":[{"id":"50168","last_name":"Schütte","full_name":"Schütte, Philipp","first_name":"Philipp"},{"id":"49178","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias"},{"id":"48188","last_name":"Barkhofen","full_name":"Barkhofen, Sonja","first_name":"Sonja"}],"publication":"Communications in Mathematical Physics","department":[{"_id":"10"},{"_id":"548"},{"_id":"623"}],"volume":398,"status":"public","date_created":"2022-05-04T12:27:46Z","abstract":[{"lang":"eng","text":"In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent of Dyatlov and Guillarmou (2016). We obtain a residue formula proving equality between residues of weighted zetas and invariant Ruelle distributions. We combine this equality with results of Guillarmou, Hilgert and Weich (2021) in order to relate the residues to Patterson-Sullivan distributions. Finally we provide proof-of-principle results concerning the numerical calculation of invariant Ruelle distributions for 3-disc scattering systems."}],"external_id":{"arxiv":["2112.05791"]},"title":"Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems","user_id":"49178"},{"date_updated":"2024-02-11T19:56:01Z","_id":"51206","language":[{"iso":"eng"}],"year":"2023","citation":{"ieee":"P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions,” arXiv:2308.13463. 2023.","short":"P. Schütte, T. Weich, ArXiv:2308.13463 (2023).","bibtex":"@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463}, author={Schütte, Philipp and Weich, Tobias}, year={2023} }","mla":"Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023.","apa":"Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. In arXiv:2308.13463.","ama":"Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463. Published online 2023.","chicago":"Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463, 2023."},"type":"preprint","user_id":"49178","title":"Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions","external_id":{"arxiv":["2308.13463"]},"abstract":[{"lang":"eng","text":"We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the connection between invariant Ruelle distributions and residues\r\nof meromorphically continued weighted zeta functions established by the authors\r\ntogether with Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer operator has to include a contracting direction which\r\nwe account for with techniques developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed for our algorithm in the case of surfaces with\r\nadditional symmetries by proving and applying a symmetry reduction of weighted\r\nzeta functions."}],"status":"public","date_created":"2024-02-06T20:58:35Z","author":[{"full_name":"Schütte, Philipp","first_name":"Philipp","id":"50168","last_name":"Schütte"},{"orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","first_name":"Tobias","id":"49178","last_name":"Weich"}],"publication":"arXiv:2308.13463","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}]},{"_id":"51207","date_updated":"2024-02-11T19:55:58Z","type":"preprint","year":"2023","citation":{"mla":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.","bibtex":"@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces: The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. arXiv:230409573. Published online 2023.","apa":"Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces: The product case. In arXiv:2304.09573.","chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” arXiv:2304.09573. 2023.","short":"T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023)."},"language":[{"iso":"eng"}],"external_id":{"arxiv":["2304.09573"]},"abstract":[{"lang":"eng","text":"Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$."}],"title":"Temperedness of locally symmetric spaces: The product case","user_id":"49178","author":[{"last_name":"Weich","id":"49178","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"},{"id":"45027","last_name":"Wolf","full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart"}],"publication":"arXiv:2304.09573","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"status":"public","date_created":"2024-02-06T21:00:55Z"},{"volume":337,"date_created":"2024-02-14T17:33:29Z","status":"public","publication":"Discrete Applied Mathematics","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"author":[{"orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","first_name":"Eckhard","id":"15548","last_name":"Steffen"},{"id":"88145","last_name":"Wolf","full_name":"Wolf, Isaak Hieronymus","first_name":"Isaak Hieronymus"}],"publisher":"Elsevier BV","user_id":"15540","page":"185-189","type":"journal_article","citation":{"ieee":"E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,” Discrete Applied Mathematics, vol. 337, pp. 185–189, 2023, doi: 10.1016/j.dam.2023.05.008.","short":"E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.","bibtex":"@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed multigraphs}, volume={337}, DOI={10.1016/j.dam.2023.05.008}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }","mla":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics, vol. 337, Elsevier BV, 2023, pp. 185–89, doi:10.1016/j.dam.2023.05.008.","chicago":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index of Signed Multigraphs.” Discrete Applied Mathematics 337 (2023): 185–89. https://doi.org/10.1016/j.dam.2023.05.008.","ama":"Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics. 2023;337:185-189. doi:10.1016/j.dam.2023.05.008","apa":"Steffen, E., & Wolf, I. H. (2023). Bounds for the chromatic index of signed multigraphs. Discrete Applied Mathematics, 337, 185–189. https://doi.org/10.1016/j.dam.2023.05.008"},"year":"2023","_id":"51351","intvolume":" 337","publication_identifier":{"issn":["0166-218X"]},"publication_status":"published","department":[{"_id":"542"}],"title":"Bounds for the chromatic index of signed multigraphs","language":[{"iso":"eng"}],"doi":"10.1016/j.dam.2023.05.008","date_updated":"2024-02-14T17:33:59Z"},{"language":[{"iso":"eng"}],"page":"93--110","type":"book_chapter","citation":{"short":"C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110.","ieee":"C. Cappello and E. Steffen, “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks,” in The Digital Twin of Humans, Cham: Springer International Publishing, 2023, pp. 93--110.","ama":"Cappello C, Steffen E. Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In: The Digital Twin of Humans. Springer International Publishing; 2023:93--110. doi:10.1007/978-3-031-26104-6_5","apa":"Cappello, C., & Steffen, E. (2023). Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In The Digital Twin of Humans (pp. 93--110). Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6_5","chicago":"Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” In The Digital Twin of Humans, 93--110. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6_5.","bibtex":"@inbook{Cappello_Steffen_2023, place={Cham}, title={Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks}, DOI={10.1007/978-3-031-26104-6_5}, booktitle={The Digital Twin of Humans}, publisher={Springer International Publishing}, author={Cappello, Chiara and Steffen, Eckhard}, year={2023}, pages={93--110} }","mla":"Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” The Digital Twin of Humans, Springer International Publishing, 2023, pp. 93--110, doi:10.1007/978-3-031-26104-6_5."},"year":"2023","_id":"45190","date_updated":"2024-02-16T07:42:38Z","doi":"10.1007/978-3-031-26104-6_5","publication":"The Digital Twin of Humans","department":[{"_id":"542"}],"author":[{"first_name":"Chiara","full_name":"Cappello, Chiara","last_name":"Cappello","id":"72874"},{"last_name":"Steffen","id":"15548","first_name":"Eckhard","full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401"}],"publisher":"Springer International Publishing","date_created":"2023-05-22T10:22:21Z","status":"public","publication_identifier":{"isbn":["9783031261039","9783031261046"]},"publication_status":"published","place":"Cham","user_id":"15540","title":"Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks"},{"language":[{"iso":"eng"}],"year":"2023","citation":{"short":"E. Steffen, I.H. Wolf, Discrete Mathematics (2023).","ieee":"E. Steffen and I. H. Wolf, “Rotation r-graphs,” Discrete Mathematics, Art. no. 113457, 2023, doi: 10.1016/j.disc.2023.113457.","ama":"Steffen E, Wolf IH. Rotation r-graphs. Discrete Mathematics. Published online 2023. doi:10.1016/j.disc.2023.113457","apa":"Steffen, E., & Wolf, I. H. (2023). Rotation r-graphs. Discrete Mathematics, Article 113457. https://doi.org/10.1016/j.disc.2023.113457","chicago":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 2023. https://doi.org/10.1016/j.disc.2023.113457.","mla":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 113457, Elsevier BV, 2023, doi:10.1016/j.disc.2023.113457.","bibtex":"@article{Steffen_Wolf_2023, title={Rotation r-graphs}, DOI={10.1016/j.disc.2023.113457}, number={113457}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }"},"type":"journal_article","_id":"51357","date_updated":"2024-02-16T08:45:10Z","article_number":"113457","doi":"10.1016/j.disc.2023.113457","publisher":"Elsevier BV","author":[{"full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401","first_name":"Eckhard","id":"15548","last_name":"Steffen"},{"last_name":"Wolf","id":"88145","first_name":"Isaak Hieronymus","full_name":"Wolf, Isaak Hieronymus"}],"department":[{"_id":"542"}],"publication":"Discrete Mathematics","keyword":["Discrete Mathematics and Combinatorics","Theoretical Computer Science"],"status":"public","date_created":"2024-02-16T08:44:50Z","publication_status":"published","publication_identifier":{"issn":["0012-365X"]},"user_id":"15540","title":"Rotation r-graphs"},{"external_id":{"arxiv":["2310.17736"]},"abstract":[{"text":"We consider the quantum dynamics of a many-fermion system in $\\mathbb R^d$\r\nwith an ultraviolet regularized pair interaction as previously studied in [M.\r\nGebert, B. Nachtergaele, J. Reschke, and R. Sims, Ann. Henri Poincar\\'e 21.11\r\n(2020)]. We provide a Lieb-Robinson bound under substantially relaxed\r\nassumptions on the potentials. We also improve the associated one-body\r\nLieb-Robinson bound on $L^2$-overlaps to an almost ballistic one (i.e., an\r\nalmost linear light cone) under the same relaxed assumptions. Applications\r\ninclude the existence of the infinite-volume dynamics and clustering of ground\r\nstates in the presence of a spectral gap. We also develop a fermionic continuum\r\nnotion of conditional expectation and use it to approximate time-evolved\r\nfermionic observables by local ones, which opens the door to other applications\r\nof the Lieb-Robinson bounds.","lang":"eng"}],"user_id":"99427","title":"On Lieb-Robinson bounds for a class of continuum fermions","author":[{"last_name":"Hinrichs","id":"99427","first_name":"Benjamin","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205"},{"first_name":"Marius","full_name":"Lemm, Marius","last_name":"Lemm"},{"last_name":"Siebert","first_name":"Oliver","full_name":"Siebert, Oliver"}],"department":[{"_id":"799"}],"publication":"arXiv:2310.17736","status":"public","date_created":"2024-02-18T12:33:21Z","project":[{"grant_number":"PROFILNRW-2020-067","name":"PhoQC: PhoQC: Photonisches Quantencomputing","_id":"266"}],"date_updated":"2024-02-18T12:34:43Z","_id":"51375","language":[{"iso":"eng"}],"citation":{"ieee":"B. Hinrichs, M. Lemm, and O. Siebert, “On Lieb-Robinson bounds for a class of continuum fermions,” arXiv:2310.17736. 2023.","short":"B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023).","bibtex":"@article{Hinrichs_Lemm_Siebert_2023, title={On Lieb-Robinson bounds for a class of continuum fermions}, journal={arXiv:2310.17736}, author={Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}, year={2023} }","mla":"Hinrichs, Benjamin, et al. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023.","apa":"Hinrichs, B., Lemm, M., & Siebert, O. (2023). On Lieb-Robinson bounds for a class of continuum fermions. In arXiv:2310.17736.","ama":"Hinrichs B, Lemm M, Siebert O. On Lieb-Robinson bounds for a class of continuum fermions. arXiv:231017736. Published online 2023.","chicago":"Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023."},"type":"preprint","year":"2023"},{"project":[{"_id":"266","name":"PhoQC: PhoQC: Photonisches Quantencomputing","grant_number":"PROFILNRW-2020-067"}],"date_created":"2024-02-18T12:33:48Z","status":"public","publication":"arXiv:2311.05361","department":[{"_id":"799"}],"author":[{"last_name":"Hinrichs","id":"99427","first_name":"Benjamin","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin"},{"first_name":"Jonas","full_name":"Lampart, Jonas","last_name":"Lampart"}],"user_id":"99427","title":"A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate","external_id":{"arxiv":["2311.05361"]},"abstract":[{"lang":"eng","text":"In the Bogoliubov-Fr\\\"ohlich model, we prove that an impurity immersed in a\r\nBose-Einstein condensate forms a stable quasi-particle when the total momentum\r\nis less than its mass times the speed of sound. The system thus exhibits\r\nsuperfluid behavior, as this quasi-particle does not experience friction. We do\r\nnot assume any infrared or ultraviolet regularization of the model, which\r\ncontains massless excitations and point-like interactions."}],"language":[{"iso":"eng"}],"year":"2023","type":"preprint","citation":{"ieee":"B. Hinrichs and J. Lampart, “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate,” arXiv:2311.05361. 2023.","short":"B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023).","bibtex":"@article{Hinrichs_Lampart_2023, title={A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate}, journal={arXiv:2311.05361}, author={Hinrichs, Benjamin and Lampart, Jonas}, year={2023} }","mla":"Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate.” ArXiv:2311.05361, 2023.","ama":"Hinrichs B, Lampart J. A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate. arXiv:231105361. Published online 2023.","apa":"Hinrichs, B., & Lampart, J. (2023). A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate. In arXiv:2311.05361.","chicago":"Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate.” ArXiv:2311.05361, 2023."},"date_updated":"2024-02-18T12:34:22Z","_id":"51376"}]