[{"page":"185-189","year":"2023","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.","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","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."},"type":"journal_article","_id":"51351","intvolume":" 337","date_created":"2024-02-14T17:33:29Z","status":"public","volume":337,"publication":"Discrete Applied Mathematics","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"author":[{"id":"15548","last_name":"Steffen","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard","first_name":"Eckhard"},{"first_name":"Isaak Hieronymus","full_name":"Wolf, Isaak Hieronymus","last_name":"Wolf","id":"88145"}],"publisher":"Elsevier BV","user_id":"15540","language":[{"iso":"eng"}],"doi":"10.1016/j.dam.2023.05.008","date_updated":"2024-02-14T17:33:59Z","publication_identifier":{"issn":["0166-218X"]},"publication_status":"published","department":[{"_id":"542"}],"title":"Bounds for the chromatic index of signed multigraphs"},{"date_updated":"2024-02-14T13:26:26Z","_id":"49003","intvolume":" 57","year":"2023","citation":{"bibtex":"@article{Moritz_2023, title={Das Scheitern Ulrichs von Hutten. Fiktion und Funktion einer ritterlichen Selbstbeschreibung}, volume={57}, journal={Ebernburg-Hefte}, author={Moritz, Tilman}, year={2023}, pages={259–278} }","mla":"Moritz, Tilman. “Das Scheitern Ulrichs von Hutten. Fiktion und Funktion einer ritterlichen Selbstbeschreibung.” Ebernburg-Hefte, vol. 57, 2023, pp. 259–78.","apa":"Moritz, T. (2023). Das Scheitern Ulrichs von Hutten. Fiktion und Funktion einer ritterlichen Selbstbeschreibung. Ebernburg-Hefte, 57, 259–278.","ama":"Moritz T. Das Scheitern Ulrichs von Hutten. Fiktion und Funktion einer ritterlichen Selbstbeschreibung. Ebernburg-Hefte. 2023;57:259-278.","chicago":"Moritz, Tilman. “Das Scheitern Ulrichs von Hutten. Fiktion und Funktion einer ritterlichen Selbstbeschreibung.” Ebernburg-Hefte 57 (2023): 259–78.","ieee":"T. Moritz, “Das Scheitern Ulrichs von Hutten. Fiktion und Funktion einer ritterlichen Selbstbeschreibung,” Ebernburg-Hefte, vol. 57, pp. 259–278, 2023.","short":"T. Moritz, Ebernburg-Hefte 57 (2023) 259–278."},"type":"journal_article","page":"259 - 278","language":[{"iso":"ger"}],"title":"Das Scheitern Ulrichs von Hutten. Fiktion und Funktion einer ritterlichen Selbstbeschreibung","user_id":"23692","volume":57,"publication_status":"published","status":"public","date_created":"2023-11-17T09:31:43Z","author":[{"full_name":"Moritz, Tilman","first_name":"Tilman","id":"23692","last_name":"Moritz"}],"publication":"Ebernburg-Hefte"},{"oa":"1","doi":"10.17619/UNIPB/1-1845","_id":"51352","date_updated":"2024-02-15T10:03:04Z","language":[{"iso":"eng"}],"supervisor":[{"full_name":"Engels, Gregor","first_name":"Gregor","id":"107","last_name":"Engels"}],"type":"dissertation","year":"2023","citation":{"short":"J. Kirchhoff, Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems, Universität Paderborn, 2023.","ieee":"J. Kirchhoff, Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems. Universität Paderborn, 2023.","apa":"Kirchhoff, J. (2023). Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems. Universität Paderborn. https://doi.org/10.17619/UNIPB/1-1845","ama":"Kirchhoff J. Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems. Universität Paderborn; 2023. doi:10.17619/UNIPB/1-1845","chicago":"Kirchhoff, Jonas. Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems. Universität Paderborn, 2023. https://doi.org/10.17619/UNIPB/1-1845.","bibtex":"@book{Kirchhoff_2023, title={Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems}, DOI={10.17619/UNIPB/1-1845}, publisher={Universität Paderborn}, author={Kirchhoff, Jonas}, year={2023} }","mla":"Kirchhoff, Jonas. Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems. Universität Paderborn, 2023, doi:10.17619/UNIPB/1-1845."},"main_file_link":[{"open_access":"1","url":"https://digital.ub.uni-paderborn.de/hs/download/pdf/7319017?originalFilename=true"}],"user_id":"39928","title":"Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems","abstract":[{"lang":"ger","text":"Erfolg und Misserfolg eines Unternehmens werden maßgeblich durch getroffene Entscheidungen beeinflusst. Daher verlassen sich Entscheider oft auf Entscheidungsunterstützungssysteme, die durch Datensimulation, -optimierung und -visualisierung bei der Identifizierung von geeigneten Entscheidungen unterstützen. Für eine optimale Unterstützung muss ein Entscheidungsunterstützungssystem (EUS) jedoch auf den Entscheidungsprozess eines Entscheiders abgestimmt sein und verfügbare Daten, Optimierungsziele, persönliche Präferenzen sowie weitere Einflussfaktoren berücksichtigen. EUS-Entwickler können aufgrund der Komplexität und Volatilität von Geschäftsumgebungen allerdings nicht alle potenziellen Entscheidungsprozesse während des Entwurfs eines EUS vorhersehen, wodurch ein EUS einem Entscheider häufig nur unzureichende Anpassungsmöglichkeiten an den individuellen Entscheidungsprozess bietet. Die Einzelanfertigung eines EUS, das auf einen Entscheidungsprozess zugeschnitten ist, ist ein kosten- und zeitintensives Unterfangen aufgrund der begrenzten Verfügbarkeit von Softwareentwicklern oder Missverständnissen zwischen Entwicklern und Entscheidern während der Entwicklung. Daher geben sich Entscheider möglicherweise mit einem handelsüblichen EUS zufrieden, das nicht vollständig mit ihrem Entscheidungsprozess übereinstimmt, suboptimale Entscheidungen begünstigt und so den Unternehmenserfolg negativ beeinflusst. In dieser Arbeit wird ein Ansatz vorgeschlagen, der es Entscheidern ermöglicht, selbst maßgeschneiderte Entscheidungsunterstützungssysteme zu entwickeln und so die Diskrepanz zwischen benötigter und tatsächlicher Entscheidungsunterstützung zu vermeiden. Dazu stellen EUS-Entwickler einen Teil der EUS-Funktionalität als wiederverwendbare Software-Dienste bereit ..."},{"text":"Decision making significantly determines the success or failure of a business. This motivates decision makers to rely on decision support systems for assistance in identifying high-quality decisions using data simulation, optimization, and visualization. However, for optimal assistance, a decision support system (DSS) must align with the decision-making process of a decision maker, which is characterized by available data, optimization goals, personal preferences, and other influences. Unfortunately, the increasing complexity and volatility of business environments prevent DSS developers to anticipate all potential decision-making processes during DSS design, and consequently, to provide decision makers with sufficient customization options. Commissioning a DSS that is tailored to a decision-making process is a cost- and time-intensive undertaking due to limited developer availability or misunderstandings between developers and decision makers. As a result, decision makers may settle for an off-the-shelf DSS that does not fully align with their decision-making process and potentially results in suboptimal decisions, thereby impairing business success.This thesis proposes an approach that enables decision makers to create tailored decision support systems themselves, thereby avoiding the aforementioned misalignment between provided and required decision support. The approach expects DSS developers to provide partial DSS functionality in the form of reusable software services. Using a low-code approach, non-programmers can then compose these services into a holistic DSS by modeling a decision-making process with the help of an assistance system. The contribution of the thesis is fourfold: First, the thesis explains how to design a service repository to capture available decision support services for the encompassing application domain. Second ...","lang":"eng"}],"status":"public","date_created":"2024-02-15T09:59:22Z","publisher":"Universität Paderborn","author":[{"last_name":"Kirchhoff","id":"39928","first_name":"Jonas","full_name":"Kirchhoff, Jonas"}],"department":[{"_id":"534"},{"_id":"66"}]},{"user_id":"15540","title":"Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks","place":"Cham","date_created":"2023-05-22T10:22:21Z","status":"public","publication_identifier":{"isbn":["9783031261039","9783031261046"]},"publication_status":"published","publication":"The Digital Twin of Humans","department":[{"_id":"542"}],"author":[{"id":"72874","last_name":"Cappello","full_name":"Cappello, Chiara","first_name":"Chiara"},{"full_name":"Steffen, Eckhard","orcid":"0000-0002-9808-7401","first_name":"Eckhard","id":"15548","last_name":"Steffen"}],"publisher":"Springer International Publishing","doi":"10.1007/978-3-031-26104-6_5","_id":"45190","date_updated":"2024-02-16T07:42:38Z","language":[{"iso":"eng"}],"page":"93--110","year":"2023","citation":{"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.","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} }","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","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","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.","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.","short":"C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110."},"type":"book_chapter"},{"article_number":"113457","doi":"10.1016/j.disc.2023.113457","_id":"51357","date_updated":"2024-02-16T08:45:10Z","language":[{"iso":"eng"}],"year":"2023","type":"journal_article","citation":{"ieee":"E. Steffen and I. H. Wolf, “Rotation r-graphs,” Discrete Mathematics, Art. no. 113457, 2023, doi: 10.1016/j.disc.2023.113457.","short":"E. Steffen, I.H. Wolf, Discrete Mathematics (2023).","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} }","mla":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 113457, Elsevier BV, 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","ama":"Steffen E, Wolf IH. Rotation r-graphs. Discrete Mathematics. Published online 2023. doi: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."},"user_id":"15540","title":"Rotation r-graphs","status":"public","date_created":"2024-02-16T08:44:50Z","publication_status":"published","publication_identifier":{"issn":["0012-365X"]},"author":[{"last_name":"Steffen","id":"15548","first_name":"Eckhard","orcid":"0000-0002-9808-7401","full_name":"Steffen, Eckhard"},{"last_name":"Wolf","id":"88145","first_name":"Isaak Hieronymus","full_name":"Wolf, Isaak Hieronymus"}],"publisher":"Elsevier BV","keyword":["Discrete Mathematics and Combinatorics","Theoretical Computer Science"],"publication":"Discrete Mathematics","department":[{"_id":"542"}]},{"author":[{"last_name":"Hinrichs","id":"99427","first_name":"Benjamin","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205"},{"last_name":"Lemm","full_name":"Lemm, Marius","first_name":"Marius"},{"last_name":"Siebert","first_name":"Oliver","full_name":"Siebert, Oliver"}],"publication":"arXiv:2310.17736","department":[{"_id":"799"}],"status":"public","date_created":"2024-02-18T12:33:21Z","project":[{"_id":"266","name":"PhoQC: PhoQC: Photonisches Quantencomputing","grant_number":"PROFILNRW-2020-067"}],"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"}],"external_id":{"arxiv":["2310.17736"]},"user_id":"99427","title":"On Lieb-Robinson bounds for a class of continuum fermions","language":[{"iso":"eng"}],"type":"preprint","year":"2023","citation":{"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.","ama":"Hinrichs B, Lemm M, Siebert O. On Lieb-Robinson bounds for a class of continuum fermions. arXiv:231017736. Published online 2023.","apa":"Hinrichs, B., Lemm, M., & Siebert, O. (2023). On Lieb-Robinson bounds for a class of continuum fermions. In arXiv:2310.17736.","chicago":"Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023.","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)."},"_id":"51375","date_updated":"2024-02-18T12:34:43Z"},{"external_id":{"arxiv":["2311.05361"]},"abstract":[{"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.","lang":"eng"}],"user_id":"99427","title":"A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate","department":[{"_id":"799"}],"publication":"arXiv:2311.05361","author":[{"first_name":"Benjamin","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","id":"99427"},{"first_name":"Jonas","full_name":"Lampart, Jonas","last_name":"Lampart"}],"date_created":"2024-02-18T12:33:48Z","project":[{"_id":"266","grant_number":"PROFILNRW-2020-067","name":"PhoQC: PhoQC: Photonisches Quantencomputing"}],"status":"public","date_updated":"2024-02-18T12:34:22Z","_id":"51376","language":[{"iso":"eng"}],"type":"preprint","year":"2023","citation":{"short":"B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023).","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.","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.","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.","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} }"}},{"external_id":{"arxiv":["2103.05667"]},"abstract":[{"lang":"eng","text":"For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$ of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions of the algebra of invariant differential\r\noperators on $G/K$."}],"user_id":"49063","title":"Higher rank quantum-classical correspondence","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"publication":"Analysis & PDE","publisher":"MSP","author":[{"last_name":"Hilgert","id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","last_name":"Weich","id":"49178"},{"full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart","id":"45027","last_name":"Wolf"}],"date_created":"2022-05-11T10:41:35Z","status":"public","volume":16,"_id":"31190","intvolume":" 16","date_updated":"2024-02-19T06:29:52Z","issue":"10","language":[{"iso":"eng"}],"page":"2241–2265","type":"journal_article","year":"2023","citation":{"mla":"Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE, vol. 16, no. 10, MSP, 2023, pp. 2241–2265.","bibtex":"@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, number={10}, journal={Analysis & PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }","apa":"Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical correspondence. Analysis & PDE, 16(10), 2241–2265.","ama":"Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. Analysis & PDE. 2023;16(10):2241–2265.","chicago":"Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265.","ieee":"J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023.","short":"J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265."}},{"date_created":"2024-02-06T20:54:28Z","status":"public","publication":"arXiv:2307.10876","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"author":[{"first_name":"Kai-Uwe","full_name":"Bux, Kai-Uwe","last_name":"Bux"},{"last_name":"Hilgert","id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","last_name":"Weich","id":"49178"}],"user_id":"49063","title":"Spectral correspondences for finite graphs without dead ends","abstract":[{"text":"We compare the spectral properties of two kinds of linear operators\r\ncharacterizing the (classical) geodesic flow and its quantization on connected\r\nlocally finite graphs without dead ends. The first kind are transfer operators\r\nacting on vector spaces associated with the set of non backtracking paths in\r\nthe graphs. The second kind of operators are averaging operators acting on\r\nvector spaces associated with the space of vertices of the graph. The choice of\r\nvector spaces reflects regularity properties. Our main results are\r\ncorrespondences between classical and quantum spectral objects as well as some\r\nautomatic regularity properties for eigenfunctions of transfer operators.","lang":"eng"}],"external_id":{"arxiv":["2307.10876"]},"language":[{"iso":"eng"}],"citation":{"ieee":"K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” arXiv:2307.10876. 2023.","short":"K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).","bibtex":"@article{Bux_Hilgert_Weich_2023, title={Spectral correspondences for finite graphs without dead ends}, journal={arXiv:2307.10876}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2023} }","mla":"Bux, Kai-Uwe, et al. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.","chicago":"Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.","apa":"Bux, K.-U., Hilgert, J., & Weich, T. (2023). Spectral correspondences for finite graphs without dead ends. In arXiv:2307.10876.","ama":"Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. arXiv:230710876. Published online 2023."},"type":"preprint","year":"2023","_id":"51205","date_updated":"2024-02-19T06:29:24Z"},{"publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"publication_status":"published","department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"title":"Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters","external_id":{"arxiv":["2112.11073"]},"language":[{"iso":"eng"}],"doi":"10.5802/jep.220","date_updated":"2024-02-19T06:30:26Z","date_created":"2022-05-11T12:27:00Z","status":"public","volume":10,"publication":"Journal de l’École polytechnique — Mathématiques","keyword":["Ruelle resonances","Poisson transforms","locally symmetric spaces","principal series representations"],"author":[{"id":"43994","last_name":"Arends","full_name":"Arends, Christian","first_name":"Christian"},{"full_name":"Hilgert, Joachim","first_name":"Joachim","id":"220","last_name":"Hilgert"}],"user_id":"49063","abstract":[{"lang":"eng","text":"In this paper we complete the program of relating the Laplace spectrum for\r\nrank one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset of exceptional spectral parameters always left untreated since the\r\ncorresponding Poisson transforms are neither injective nor surjective. We use\r\nvector valued Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces the exceptional spectral parameters lead to discrete\r\nseries representations of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more complicated, but can be described completely."}],"page":"335-403","citation":{"short":"C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.","ieee":"C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique — Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.","chicago":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.","ama":"Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École polytechnique — Mathématiques. 2023;10:335-403. doi:10.5802/jep.220","apa":"Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. Journal de l’École Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220","mla":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.","bibtex":"@article{Arends_Hilgert_2023, title={Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters}, volume={10}, DOI={10.5802/jep.220}, journal={Journal de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert, Joachim}, year={2023}, pages={335–403} }"},"year":"2023","type":"journal_article","_id":"31210","intvolume":" 10"}]