--- _id: '31189' abstract: - lang: eng 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." author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: 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 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 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. 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.' 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. short: T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023). date_created: 2022-05-11T10:38:11Z date_updated: 2024-02-06T20:52:40Z department: - _id: '10' - _id: '548' - _id: '623' doi: https://doi.org/10.1007/s00220-023-04819-1 external_id: arxiv: - '2205.03167' intvolume: ' 403' language: - iso: eng publication: Communications in Mathematical Physics publication_identifier: unknown: - 1275-1295 status: public title: Absence of principal eigenvalues for higher rank locally symmetric spaces type: journal_article user_id: '49178' volume: 403 year: '2023' ... --- _id: '47049' abstract: - lang: eng text: "As technology advances, Unmanned Aerial Vehicles ( UAVs) have emerged as an innovative solution to a variety of problems in many fields. Automated control of UAVs is most common in large area operations, but they may also increase the versatility of smart home compositions by acting as a physical helper. For example, a voice- controlled UAV could act as an intelligent aerial assistant that can be seamlessly integrated into smart home systems. In this paper, we present a novel Augmented Reality (AR )-based UAV control that provides high-level control over a UAV by automating common UAV missions. In our work, we enable users to operate a small UAV hands-free using only a small set of voice commands. To help users identify the targets, and to understand the UAV ’s intentions, targets within the user’s field of vision are highlighted in an AR interface. We evaluate our approach in a user study (n=26) regarding usability, physical and mental demand, as well as a focus on the users’ preferences. Our study showed that the use of the proposed control was not only accepted, but some users stated that they would use such a system at home to help with some tasks at home\r\n" author: - first_name: Robin full_name: Helmert, Robin last_name: Helmert - first_name: Tobias full_name: Hardes, Tobias id: '35441' last_name: Hardes - first_name: Enes full_name: Yigitbas, Enes id: '8447' last_name: Yigitbas orcid: 0000-0002-5967-833X citation: ama: 'Helmert R, Hardes T, Yigitbas E. Design and Evaluation of an AR Voice-based Indoor UAV Assistant for Smart Home Scenarios. In: Proceedings of the ACM Symposium on Spatial User Interaction (SUI 2023). ACM; 2023.' apa: Helmert, R., Hardes, T., & Yigitbas, E. (2023). Design and Evaluation of an AR Voice-based Indoor UAV Assistant for Smart Home Scenarios. Proceedings of the ACM Symposium on Spatial User Interaction (SUI 2023). ACM Symposium on Spatial User Interaction, Sydney, Australia . bibtex: '@inproceedings{Helmert_Hardes_Yigitbas_2023, title={Design and Evaluation of an AR Voice-based Indoor UAV Assistant for Smart Home Scenarios}, booktitle={Proceedings of the ACM Symposium on Spatial User Interaction (SUI 2023)}, publisher={ACM}, author={Helmert, Robin and Hardes, Tobias and Yigitbas, Enes}, year={2023} }' chicago: Helmert, Robin, Tobias Hardes, and Enes Yigitbas. “Design and Evaluation of an AR Voice-Based Indoor UAV Assistant for Smart Home Scenarios.” In Proceedings of the ACM Symposium on Spatial User Interaction (SUI 2023). ACM, 2023. ieee: R. Helmert, T. Hardes, and E. Yigitbas, “Design and Evaluation of an AR Voice-based Indoor UAV Assistant for Smart Home Scenarios,” presented at the ACM Symposium on Spatial User Interaction, Sydney, Australia , 2023. mla: Helmert, Robin, et al. “Design and Evaluation of an AR Voice-Based Indoor UAV Assistant for Smart Home Scenarios.” Proceedings of the ACM Symposium on Spatial User Interaction (SUI 2023), ACM, 2023. short: 'R. Helmert, T. Hardes, E. Yigitbas, in: Proceedings of the ACM Symposium on Spatial User Interaction (SUI 2023), ACM, 2023.' conference: end_date: As technology advances, Unmanned Aerial Vehicles ( UAVs) have emerged as an innovative solution to a variety of problems in many fields. Automated control of UAVs is most common in large area operations, but they may also increase the versatility of smart home compositions by acting as a physical helper. For example, a voice- controlled UAV could act as an intelligent aerial assistant that can be seamlessly integrated into smart home systems. In this paper, we present a novel Augmented Reality (AR )-based UAV control that provides high-level control over a UAV by automating common UAV missions. In our work, we enable users to operate a small UAV hands-free using only a small set of voice commands. To help users identify the targets, and to understand the UAV ’s intentions, targets within the user’s field of vision are highlighted in an AR interface. We evaluate our approach in a user study (n=26) regarding usability, physical and mental demand, as well as a focus on the users’ preferences. Our study showed that the use of the proposed control was not only accepted, but some users stated that they would use such a system at home to help with some tasks at home location: ' Sydney, Australia ' name: ACM Symposium on Spatial User Interaction start_date: 2023-10-13 date_created: 2023-09-14T07:57:37Z date_updated: 2024-02-08T07:58:15Z department: - _id: '66' - _id: '534' language: - iso: eng publication: Proceedings of the ACM Symposium on Spatial User Interaction (SUI 2023) publication_status: published publisher: ACM status: public title: Design and Evaluation of an AR Voice-based Indoor UAV Assistant for Smart Home Scenarios type: conference user_id: '35441' year: '2023' ... --- _id: '31059' 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. author: - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Sonja full_name: Barkhofen, Sonja id: '48188' last_name: Barkhofen citation: 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 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} }' 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.' 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.' 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. short: P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics 398 (2023) 655–678. date_created: 2022-05-04T12:27:46Z date_updated: 2024-02-11T19:56:15Z department: - _id: '10' - _id: '548' - _id: '623' doi: ttps://doi.org/10.1007/s00220-022-04538-z external_id: arxiv: - '2112.05791' intvolume: ' 398' language: - iso: eng page: 655-678 publication: Communications in Mathematical Physics status: public title: Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems type: journal_article user_id: '49178' volume: 398 year: '2023' ... --- _id: '51206' 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." author: - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: 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. 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. 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} }' 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. 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. 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. short: P. Schütte, T. Weich, ArXiv:2308.13463 (2023). date_created: 2024-02-06T20:58:35Z date_updated: 2024-02-11T19:56:01Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2308.13463' language: - iso: eng publication: arXiv:2308.13463 status: public title: Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions type: preprint user_id: '49178' year: '2023' ... --- _id: '51207' 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$\\Gamma$." author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Lasse Lennart full_name: Wolf, Lasse Lennart id: '45027' last_name: Wolf citation: 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.' 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} }' 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.' mla: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” ArXiv:2304.09573, 2023.' short: T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023). date_created: 2024-02-06T21:00:55Z date_updated: 2024-02-11T19:55:58Z department: - _id: '10' - _id: '623' - _id: '548' external_id: arxiv: - '2304.09573' language: - iso: eng publication: arXiv:2304.09573 status: public title: 'Temperedness of locally symmetric spaces: The product case' type: preprint user_id: '49178' year: '2023' ... --- _id: '51351' author: - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: 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 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} }' 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.' 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.' 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. short: E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189. date_created: 2024-02-14T17:33:29Z date_updated: 2024-02-14T17:33:59Z department: - _id: '542' doi: 10.1016/j.dam.2023.05.008 intvolume: ' 337' keyword: - Applied Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng page: 185-189 publication: Discrete Applied Mathematics publication_identifier: issn: - 0166-218X publication_status: published publisher: Elsevier BV status: public title: Bounds for the chromatic index of signed multigraphs type: journal_article user_id: '15540' volume: 337 year: '2023' ... --- _id: '51352' 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 ... - lang: eng 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 ...' author: - first_name: Jonas full_name: Kirchhoff, Jonas id: '39928' last_name: Kirchhoff citation: ama: 'Kirchhoff J. Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems. Universität Paderborn; 2023. doi:10.17619/UNIPB/1-1845' 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' 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} }' 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.' ieee: 'J. Kirchhoff, Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems. Universität Paderborn, 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.' short: 'J. Kirchhoff, Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems, Universität Paderborn, 2023.' date_created: 2024-02-15T09:59:22Z date_updated: 2024-02-15T10:03:04Z department: - _id: '534' - _id: '66' doi: 10.17619/UNIPB/1-1845 language: - iso: eng main_file_link: - open_access: '1' url: https://digital.ub.uni-paderborn.de/hs/download/pdf/7319017?originalFilename=true oa: '1' publisher: Universität Paderborn status: public supervisor: - first_name: Gregor full_name: Engels, Gregor id: '107' last_name: Engels title: 'Decision Support Ecosystems: Assisted Low-Code Development of Tailored Decision Support Systems' type: dissertation user_id: '39928' year: '2023' ... --- _id: '45190' author: - first_name: Chiara full_name: Cappello, Chiara id: '72874' last_name: Cappello - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 citation: 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 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} }' 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.' 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. short: 'C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110.' date_created: 2023-05-22T10:22:21Z date_updated: 2024-02-16T07:42:38Z department: - _id: '542' doi: 10.1007/978-3-031-26104-6_5 language: - iso: eng page: 93--110 place: Cham publication: The Digital Twin of Humans publication_identifier: isbn: - '9783031261039' - '9783031261046' publication_status: published publisher: Springer International Publishing status: public title: Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks type: book_chapter user_id: '15540' year: '2023' ... --- _id: '51357' article_number: '113457' author: - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Isaak Hieronymus full_name: Wolf, Isaak Hieronymus id: '88145' last_name: Wolf citation: 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 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} }' chicago: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete Mathematics, 2023. https://doi.org/10.1016/j.disc.2023.113457. ieee: 'E. Steffen and I. H. Wolf, “Rotation r-graphs,” Discrete Mathematics, Art. no. 113457, 2023, doi: 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. short: E. Steffen, I.H. Wolf, Discrete Mathematics (2023). date_created: 2024-02-16T08:44:50Z date_updated: 2024-02-16T08:45:10Z department: - _id: '542' doi: 10.1016/j.disc.2023.113457 keyword: - Discrete Mathematics and Combinatorics - Theoretical Computer Science language: - iso: eng publication: Discrete Mathematics publication_identifier: issn: - 0012-365X publication_status: published publisher: Elsevier BV status: public title: Rotation r-graphs type: journal_article user_id: '15540' year: '2023' ... --- _id: '51375' abstract: - lang: eng 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." author: - first_name: Benjamin full_name: Hinrichs, Benjamin id: '99427' last_name: Hinrichs orcid: 0000-0001-9074-1205 - first_name: Marius full_name: Lemm, Marius last_name: Lemm - first_name: Oliver full_name: Siebert, Oliver last_name: Siebert citation: 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. 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} }' 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. mla: Hinrichs, Benjamin, et al. “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). date_created: 2024-02-18T12:33:21Z date_updated: 2024-02-18T12:34:43Z department: - _id: '799' external_id: arxiv: - '2310.17736' language: - iso: eng project: - _id: '266' grant_number: PROFILNRW-2020-067 name: 'PhoQC: PhoQC: Photonisches Quantencomputing' publication: arXiv:2310.17736 status: public title: On Lieb-Robinson bounds for a class of continuum fermions type: preprint user_id: '99427' year: '2023' ...