[{"abstract":[{"lang":"eng","text":"Modern wireless communication systems are expected to provide improved\r\nlatency and reliability. To meet these expectations, a short packet length is\r\nneeded, which makes the first-order Shannon rate an inaccurate performance\r\nmetric for such communication systems. A more accurate approximation of the\r\nachievable rates of finite-block-length (FBL) coding regimes is known as the\r\nnormal approximation (NA). It is therefore of substantial interest to study the\r\noptimization of the FBL rate in multi-user multiple-input multiple-output\r\n(MIMO) systems, in which each user may transmit and/or receive multiple data\r\nstreams. Hence, we formulate a general optimization problem for improving the\r\nspectral and energy efficiency of multi-user MIMO-aided ultra-reliable\r\nlow-latency communication (URLLC) systems, which are assisted by reconfigurable\r\nintelligent surfaces (RISs). We show that a RIS is capable of substantially\r\nimproving the performance of multi-user MIMO-aided URLLC systems. Moreover, the\r\nbenefits of RIS increase as the packet length and/or the tolerable bit error\r\nrate are reduced. This reveals that RISs can be even more beneficial in URLLC\r\nsystems for improving the FBL rates than in conventional systems approaching\r\nShannon rates."}],"publication":"arXiv:2402.16434","citation":{"bibtex":"@article{Soleymani_Santamaria_Jorswieck_Schober_Hanzo_2024, title={Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC MIMO Systems}, journal={arXiv:2402.16434}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard and Schober, Robert and Hanzo, Lajos}, year={2024} }","ama":"Soleymani M, Santamaria I, Jorswieck E, Schober R, Hanzo L. Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC MIMO Systems. <i>arXiv:240216434</i>. Published online 2024.","mla":"Soleymani, Mohammad, et al. “Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-Aided Multi-User URLLC MIMO Systems.” <i>ArXiv:2402.16434</i>, 2024.","chicago":"Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, Robert Schober, and Lajos Hanzo. “Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-Aided Multi-User URLLC MIMO Systems.” <i>ArXiv:2402.16434</i>, 2024.","short":"M. Soleymani, I. Santamaria, E. Jorswieck, R. Schober, L. Hanzo, ArXiv:2402.16434 (2024).","ieee":"M. Soleymani, I. Santamaria, E. Jorswieck, R. Schober, and L. Hanzo, “Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC MIMO Systems,” <i>arXiv:2402.16434</i>. 2024.","apa":"Soleymani, M., Santamaria, I., Jorswieck, E., Schober, R., &#38; Hanzo, L. (2024). Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC MIMO Systems. In <i>arXiv:2402.16434</i>."},"type":"preprint","department":[{"_id":"263"}],"external_id":{"arxiv":["2402.16434"]},"date_created":"2024-04-05T09:16:32Z","date_updated":"2024-04-05T13:18:19Z","year":"2024","title":"Optimization of the Downlink Spectral- and Energy-Efficiency of  RIS-aided Multi-user URLLC MIMO Systems","status":"public","author":[{"full_name":"Soleymani, Mohammad","last_name":"Soleymani","first_name":"Mohammad"},{"first_name":"Ignacio","last_name":"Santamaria","full_name":"Santamaria, Ignacio"},{"full_name":"Jorswieck, Eduard","first_name":"Eduard","last_name":"Jorswieck"},{"full_name":"Schober, Robert","first_name":"Robert","last_name":"Schober"},{"full_name":"Hanzo, Lajos","last_name":"Hanzo","first_name":"Lajos"}],"user_id":"67076","_id":"53282","language":[{"iso":"eng"}]},{"publication":"2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","citation":{"short":"M. Soleymani, I. Santamaria, A. Sezgin, E. Jorswieck, in: 2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), IEEE, 2024.","chicago":"Soleymani, Mohammad, Ignacio Santamaria, Aydin Sezgin, and Eduard Jorswieck. “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels.” In <i>2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)</i>. IEEE, 2024. <a href=\"https://doi.org/10.1109/camsap58249.2023.10403459\">https://doi.org/10.1109/camsap58249.2023.10403459</a>.","ieee":"M. Soleymani, I. Santamaria, A. Sezgin, and E. Jorswieck, “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels,” 2024, doi: <a href=\"https://doi.org/10.1109/camsap58249.2023.10403459\">10.1109/camsap58249.2023.10403459</a>.","apa":"Soleymani, M., Santamaria, I., Sezgin, A., &#38; Jorswieck, E. (2024). Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels. <i>2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)</i>. <a href=\"https://doi.org/10.1109/camsap58249.2023.10403459\">https://doi.org/10.1109/camsap58249.2023.10403459</a>","bibtex":"@inproceedings{Soleymani_Santamaria_Sezgin_Jorswieck_2024, title={Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels}, DOI={<a href=\"https://doi.org/10.1109/camsap58249.2023.10403459\">10.1109/camsap58249.2023.10403459</a>}, booktitle={2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)}, publisher={IEEE}, author={Soleymani, Mohammad and Santamaria, Ignacio and Sezgin, Aydin and Jorswieck, Eduard}, year={2024} }","ama":"Soleymani M, Santamaria I, Sezgin A, Jorswieck E. Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels. In: <i>2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)</i>. IEEE; 2024. doi:<a href=\"https://doi.org/10.1109/camsap58249.2023.10403459\">10.1109/camsap58249.2023.10403459</a>","mla":"Soleymani, Mohammad, et al. “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels.” <i>2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)</i>, IEEE, 2024, doi:<a href=\"https://doi.org/10.1109/camsap58249.2023.10403459\">10.1109/camsap58249.2023.10403459</a>."},"type":"conference","department":[{"_id":"263"}],"date_created":"2024-04-05T09:00:06Z","date_updated":"2024-04-05T13:20:28Z","publication_status":"published","status":"public","year":"2024","title":"Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels","author":[{"last_name":"Soleymani","first_name":"Mohammad","full_name":"Soleymani, Mohammad"},{"last_name":"Santamaria","first_name":"Ignacio","full_name":"Santamaria, Ignacio"},{"full_name":"Sezgin, Aydin","last_name":"Sezgin","first_name":"Aydin"},{"full_name":"Jorswieck, Eduard","last_name":"Jorswieck","first_name":"Eduard"}],"doi":"10.1109/camsap58249.2023.10403459","user_id":"67076","publisher":"IEEE","_id":"53259","language":[{"iso":"eng"}]},{"date_created":"2024-04-05T08:59:35Z","type":"conference","department":[{"_id":"263"}],"publication":"GLOBECOM 2023 - 2023 IEEE Global Communications Conference","citation":{"short":"M. Soleymani, I. Santamaria, E. Jorswieck, in: GLOBECOM 2023 - 2023 IEEE Global Communications Conference, IEEE, 2024.","chicago":"Soleymani, Mohammad, Ignacio Santamaria, and Eduard Jorswieck. “NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments.” In <i>GLOBECOM 2023 - 2023 IEEE Global Communications Conference</i>. IEEE, 2024. <a href=\"https://doi.org/10.1109/globecom54140.2023.10437458\">https://doi.org/10.1109/globecom54140.2023.10437458</a>.","ieee":"M. Soleymani, I. Santamaria, and E. Jorswieck, “NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments,” 2024, doi: <a href=\"https://doi.org/10.1109/globecom54140.2023.10437458\">10.1109/globecom54140.2023.10437458</a>.","apa":"Soleymani, M., Santamaria, I., &#38; Jorswieck, E. (2024). NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments. <i>GLOBECOM 2023 - 2023 IEEE Global Communications Conference</i>. <a href=\"https://doi.org/10.1109/globecom54140.2023.10437458\">https://doi.org/10.1109/globecom54140.2023.10437458</a>","bibtex":"@inproceedings{Soleymani_Santamaria_Jorswieck_2024, title={NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments}, DOI={<a href=\"https://doi.org/10.1109/globecom54140.2023.10437458\">10.1109/globecom54140.2023.10437458</a>}, booktitle={GLOBECOM 2023 - 2023 IEEE Global Communications Conference}, publisher={IEEE}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard}, year={2024} }","ama":"Soleymani M, Santamaria I, Jorswieck E. NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments. In: <i>GLOBECOM 2023 - 2023 IEEE Global Communications Conference</i>. IEEE; 2024. doi:<a href=\"https://doi.org/10.1109/globecom54140.2023.10437458\">10.1109/globecom54140.2023.10437458</a>","mla":"Soleymani, Mohammad, et al. “NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments.” <i>GLOBECOM 2023 - 2023 IEEE Global Communications Conference</i>, IEEE, 2024, doi:<a href=\"https://doi.org/10.1109/globecom54140.2023.10437458\">10.1109/globecom54140.2023.10437458</a>."},"_id":"53258","publisher":"IEEE","language":[{"iso":"eng"}],"doi":"10.1109/globecom54140.2023.10437458","user_id":"67076","title":"NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments","year":"2024","status":"public","author":[{"last_name":"Soleymani","first_name":"Mohammad","full_name":"Soleymani, Mohammad"},{"full_name":"Santamaria, Ignacio","last_name":"Santamaria","first_name":"Ignacio"},{"first_name":"Eduard","last_name":"Jorswieck","full_name":"Jorswieck, Eduard"}],"date_updated":"2024-04-05T13:21:21Z","publication_status":"published"},{"author":[{"id":"56070","full_name":"Kuschel, Maurice","first_name":"Maurice","last_name":"Kuschel"},{"last_name":"Hasija","first_name":"Tanuj","full_name":"Hasija, Tanuj","id":"43497"},{"full_name":"Marrinan, Timothy","last_name":"Marrinan","first_name":"Timothy"}],"year":"2024","title":"Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning","status":"public","publication_status":"published","date_updated":"2024-04-05T14:50:14Z","_id":"53304","publisher":"IEEE","language":[{"iso":"eng"}],"user_id":"56070","doi":"10.1109/icassp48485.2024.10446173","citation":{"apa":"Kuschel, M., Hasija, T., &#38; Marrinan, T. (2024). Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning. <i>ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. <a href=\"https://doi.org/10.1109/icassp48485.2024.10446173\">https://doi.org/10.1109/icassp48485.2024.10446173</a>","ieee":"M. Kuschel, T. Hasija, and T. Marrinan, “Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning,” 2024, doi: <a href=\"https://doi.org/10.1109/icassp48485.2024.10446173\">10.1109/icassp48485.2024.10446173</a>.","short":"M. Kuschel, T. Hasija, T. Marrinan, in: ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2024.","chicago":"Kuschel, Maurice, Tanuj Hasija, and Timothy Marrinan. “Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning.” In <i>ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. IEEE, 2024. <a href=\"https://doi.org/10.1109/icassp48485.2024.10446173\">https://doi.org/10.1109/icassp48485.2024.10446173</a>.","mla":"Kuschel, Maurice, et al. “Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning.” <i>ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>, IEEE, 2024, doi:<a href=\"https://doi.org/10.1109/icassp48485.2024.10446173\">10.1109/icassp48485.2024.10446173</a>.","ama":"Kuschel M, Hasija T, Marrinan T. Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning. In: <i>ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)</i>. IEEE; 2024. doi:<a href=\"https://doi.org/10.1109/icassp48485.2024.10446173\">10.1109/icassp48485.2024.10446173</a>","bibtex":"@inproceedings{Kuschel_Hasija_Marrinan_2024, title={Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning}, DOI={<a href=\"https://doi.org/10.1109/icassp48485.2024.10446173\">10.1109/icassp48485.2024.10446173</a>}, booktitle={ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}, publisher={IEEE}, author={Kuschel, Maurice and Hasija, Tanuj and Marrinan, Timothy}, year={2024} }"},"publication":"ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","date_created":"2024-04-05T14:40:34Z","department":[{"_id":"263"}],"type":"conference"},{"date_created":"2024-04-09T11:35:20Z","type":"mastersthesis","department":[{"_id":"34"},{"_id":"7"},{"_id":"79"}],"supervisor":[{"last_name":"Scheideler","first_name":"Christian","full_name":"Scheideler, Christian","id":"20792"}],"citation":{"apa":"De Groote, C. (2024). <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes</i>.","ieee":"C. De Groote, <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes</i>. 2024.","chicago":"De Groote, Carsten. <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes</i>, 2024.","short":"C. De Groote, A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes, 2024.","mla":"De Groote, Carsten. <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes</i>. 2024.","ama":"De Groote C. <i>A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes</i>.; 2024.","bibtex":"@book{De Groote_2024, title={A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes}, author={De Groote, Carsten}, year={2024} }"},"language":[{"iso":"eng"}],"_id":"53374","user_id":"15578","status":"public","year":"2024","title":"A Dispersion Algorithm for Robot Swarms Inside Polygonal Boundary Shapes","author":[{"last_name":"De Groote","first_name":"Carsten","full_name":"De Groote, Carsten"}],"date_updated":"2024-04-09T11:35:41Z"},{"department":[{"_id":"34"},{"_id":"7"},{"_id":"79"}],"type":"mastersthesis","date_created":"2024-04-09T11:31:47Z","citation":{"bibtex":"@book{Doddegowda_2024, title={Optimal Drone Strategies For Packet Delivery}, author={Doddegowda, Rajesh}, year={2024} }","ama":"Doddegowda R. <i>Optimal Drone Strategies For Packet Delivery</i>.; 2024.","mla":"Doddegowda, Rajesh. <i>Optimal Drone Strategies For Packet Delivery</i>. 2024.","short":"R. Doddegowda, Optimal Drone Strategies For Packet Delivery, 2024.","chicago":"Doddegowda, Rajesh. <i>Optimal Drone Strategies For Packet Delivery</i>, 2024.","ieee":"R. Doddegowda, <i>Optimal Drone Strategies For Packet Delivery</i>. 2024.","apa":"Doddegowda, R. (2024). <i>Optimal Drone Strategies For Packet Delivery</i>."},"supervisor":[{"first_name":"Christian","last_name":"Scheideler","full_name":"Scheideler, Christian","id":"20792"}],"user_id":"15578","_id":"53373","language":[{"iso":"eng"}],"date_updated":"2024-04-09T11:32:20Z","author":[{"last_name":"Doddegowda","first_name":"Rajesh","full_name":"Doddegowda, Rajesh"}],"title":"Optimal Drone Strategies For Packet Delivery","year":"2024","status":"public"},{"user_id":"15578","language":[{"iso":"eng"}],"_id":"53372","date_updated":"2024-04-09T11:29:24Z","author":[{"last_name":"Thakur","first_name":"Heena","full_name":"Thakur, Heena"}],"title":"Evaluating the Implications","year":"2024","status":"public","department":[{"_id":"34"},{"_id":"7"},{"_id":"79"}],"type":"mastersthesis","date_created":"2024-04-09T11:28:39Z","supervisor":[{"first_name":"Christian","last_name":"Scheideler","full_name":"Scheideler, Christian","id":"20792"}],"citation":{"mla":"Thakur, Heena. <i>Evaluating the Implications</i>. 2024.","bibtex":"@book{Thakur_2024, title={Evaluating the Implications}, author={Thakur, Heena}, year={2024} }","ama":"Thakur H. <i>Evaluating the Implications</i>.; 2024.","ieee":"H. Thakur, <i>Evaluating the Implications</i>. 2024.","apa":"Thakur, H. (2024). <i>Evaluating the Implications</i>.","chicago":"Thakur, Heena. <i>Evaluating the Implications</i>, 2024.","short":"H. Thakur, Evaluating the Implications, 2024."}},{"user_id":"45673","doi":"10.48447/BR-2024-369","_id":"53394","language":[{"iso":"ger"}],"publisher":"Deutscher Verband für Materialforschung und –prüfung e.V.","date_updated":"2024-04-10T08:30:45Z","status":"public","title":"Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven","year":"2024","author":[{"id":"291","first_name":"Gunter","last_name":"Kullmer","full_name":"Kullmer, Gunter"},{"id":"45673","last_name":"Weiß","first_name":"Deborah","full_name":"Weiß, Deborah"},{"id":"4668","last_name":"Schramm","first_name":"Britta","full_name":"Schramm, Britta"}],"conference":{"name":"56. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit ","start_date":"2024-02-20","location":"Kassel","end_date":"2024-02-21"},"type":"conference","department":[{"_id":"143"}],"date_created":"2024-04-10T07:58:29Z","project":[{"_id":"130","grant_number":"418701707","name":"TRR 285: TRR 285"},{"name":"TRR 285 - B: TRR 285 - Project Area B","_id":"132"},{"_id":"143","name":"TRR 285 – B04: TRR 285 - Subproject B04"}],"citation":{"apa":"Kullmer, G., Weiß, D., &#38; Schramm, B. (2024). <i>Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven</i>. 56. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit , Kassel. <a href=\"https://doi.org/10.48447/BR-2024-369\">https://doi.org/10.48447/BR-2024-369</a>","ieee":"G. Kullmer, D. Weiß, and B. Schramm, “Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven,” presented at the 56. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit , Kassel, 2024, doi: <a href=\"https://doi.org/10.48447/BR-2024-369\">10.48447/BR-2024-369</a>.","chicago":"Kullmer, Gunter, Deborah Weiß, and Britta Schramm. “Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven.” Deutscher Verband für Materialforschung und –prüfung e.V., 2024. <a href=\"https://doi.org/10.48447/BR-2024-369\">https://doi.org/10.48447/BR-2024-369</a>.","short":"G. Kullmer, D. Weiß, B. Schramm, in: Deutscher Verband für Materialforschung und –prüfung e.V., 2024.","mla":"Kullmer, Gunter, et al. <i>Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven</i>. Deutscher Verband für Materialforschung und –prüfung e.V., 2024, doi:<a href=\"https://doi.org/10.48447/BR-2024-369\">10.48447/BR-2024-369</a>.","ama":"Kullmer G, Weiß D, Schramm B. Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven. In: Deutscher Verband für Materialforschung und –prüfung e.V.; 2024. doi:<a href=\"https://doi.org/10.48447/BR-2024-369\">10.48447/BR-2024-369</a>","bibtex":"@inproceedings{Kullmer_Weiß_Schramm_2024, title={Weiterentwicklung des Exponentialansatzes zur Beschreibung von Rissfortschrittskurven}, DOI={<a href=\"https://doi.org/10.48447/BR-2024-369\">10.48447/BR-2024-369</a>}, publisher={Deutscher Verband für Materialforschung und –prüfung e.V.}, author={Kullmer, Gunter and Weiß, Deborah and Schramm, Britta}, year={2024} }"}},{"date_updated":"2024-04-11T10:51:35Z","publication_status":"published","status":"public","year":"2024","title":"Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892","author":[{"last_name":"Kamp","first_name":"Hermann","full_name":"Kamp, Hermann","id":"125"}],"publication_identifier":{"unknown":["978-3-87707-300-1"]},"user_id":"54666","volume":"123/124, 2021-2022","page":"137-167","language":[{"iso":"ger"}],"_id":"52096","publisher":"VERLAGSDRUCKEREI SCHMIDT GMBH","publication":"Zeitschrift des Aachener Geschichtsvereins ","citation":{"apa":"Kamp, H. (2024). Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins </i>, <i>123/124, 2021–2022</i>, 137–167.","ieee":"H. Kamp, “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892,” <i>Zeitschrift des Aachener Geschichtsvereins </i>, vol. 123/124, 2021–2022, pp. 137–167, 2024.","chicago":"Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins </i> 123/124, 2021–2022 (2024): 137–67.","short":"H. Kamp, Zeitschrift des Aachener Geschichtsvereins  123/124, 2021–2022 (2024) 137–167.","mla":"Kamp, Hermann. “Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892.” <i>Zeitschrift des Aachener Geschichtsvereins </i>, vol. 123/124, 2021–2022, VERLAGSDRUCKEREI SCHMIDT GMBH, 2024, pp. 137–67.","ama":"Kamp H. Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892. <i>Zeitschrift des Aachener Geschichtsvereins </i>. 2024;123/124, 2021-2022:137-167.","bibtex":"@article{Kamp_2024, title={Zwischen Beutesuche und politischen Ambitionen. Die Normannen an Rhein und Maas zwischen 880 und 892}, volume={123/124, 2021–2022}, journal={Zeitschrift des Aachener Geschichtsvereins }, publisher={VERLAGSDRUCKEREI SCHMIDT GMBH}, author={Kamp, Hermann}, year={2024}, pages={137–167} }"},"type":"journal_article","department":[{"_id":"512"}],"date_created":"2024-02-27T10:52:14Z"},{"oa":"1","external_id":{"arxiv":["2301.08637"]},"citation":{"bibtex":"@article{Philipp_Schaller_Worthmann_Peitz_Nüske_2024, title={Error bounds for kernel-based approximations of the Koopman operator}, volume={71}, DOI={<a href=\"https://doi.org/10.1016/j.acha.2024.101657\">10.1016/j.acha.2024.101657</a>}, number={101657}, journal={Applied and Computational Harmonic Analysis }, publisher={Springer }, author={Philipp, Friedrich and Schaller, Manuel and Worthmann, Karl and Peitz, Sebastian and Nüske, Feliks}, year={2024} }","chicago":"Philipp, Friedrich, Manuel Schaller, Karl Worthmann, Sebastian Peitz, and Feliks Nüske. “Error Bounds for Kernel-Based Approximations of the Koopman Operator.” <i>Applied and Computational Harmonic Analysis </i> 71 (2024). <a href=\"https://doi.org/10.1016/j.acha.2024.101657\">https://doi.org/10.1016/j.acha.2024.101657</a>.","ama":"Philipp F, Schaller M, Worthmann K, Peitz S, Nüske F. Error bounds for kernel-based approximations of the Koopman operator. <i>Applied and Computational Harmonic Analysis </i>. 2024;71. doi:<a href=\"https://doi.org/10.1016/j.acha.2024.101657\">10.1016/j.acha.2024.101657</a>","short":"F. Philipp, M. Schaller, K. Worthmann, S. Peitz, F. Nüske, Applied and Computational Harmonic Analysis  71 (2024).","ieee":"F. Philipp, M. Schaller, K. Worthmann, S. Peitz, and F. Nüske, “Error bounds for kernel-based approximations of the Koopman operator,” <i>Applied and Computational Harmonic Analysis </i>, vol. 71, Art. no. 101657, 2024, doi: <a href=\"https://doi.org/10.1016/j.acha.2024.101657\">10.1016/j.acha.2024.101657</a>.","mla":"Philipp, Friedrich, et al. “Error Bounds for Kernel-Based Approximations of the Koopman Operator.” <i>Applied and Computational Harmonic Analysis </i>, vol. 71, 101657, Springer , 2024, doi:<a href=\"https://doi.org/10.1016/j.acha.2024.101657\">10.1016/j.acha.2024.101657</a>.","apa":"Philipp, F., Schaller, M., Worthmann, K., Peitz, S., &#38; Nüske, F. (2024). Error bounds for kernel-based approximations of the Koopman operator. <i>Applied and Computational Harmonic Analysis </i>, <i>71</i>, Article 101657. <a href=\"https://doi.org/10.1016/j.acha.2024.101657\">https://doi.org/10.1016/j.acha.2024.101657</a>"},"volume":71,"user_id":"47427","publisher":"Springer ","_id":"38031","status":"public","department":[{"_id":"655"}],"type":"journal_article","date_created":"2023-01-23T07:03:39Z","abstract":[{"lang":"eng","text":"We consider the data-driven approximation of the Koopman operator for\r\nstochastic differential equations on reproducing kernel Hilbert spaces (RKHS).\r\nOur focus is on the estimation error if the data are collected from long-term\r\nergodic simulations. We derive both an exact expression for the variance of the\r\nkernel cross-covariance operator, measured in the Hilbert-Schmidt norm, and\r\nprobabilistic bounds for the finite-data estimation error. Moreover, we derive\r\na bound on the prediction error of observables in the RKHS using a finite\r\nMercer series expansion. Further, assuming Koopman-invariance of the RKHS, we\r\nprovide bounds on the full approximation error. Numerical experiments using the\r\nOrnstein-Uhlenbeck process illustrate our results."}],"publication":"Applied and Computational Harmonic Analysis ","doi":"10.1016/j.acha.2024.101657","language":[{"iso":"eng"}],"article_number":"101657","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2301.08637"}],"intvolume":"        71","publication_status":"published","date_updated":"2024-04-11T12:41:13Z","author":[{"last_name":"Philipp","first_name":"Friedrich","full_name":"Philipp, Friedrich"},{"first_name":"Manuel","last_name":"Schaller","full_name":"Schaller, Manuel"},{"full_name":"Worthmann, Karl","first_name":"Karl","last_name":"Worthmann"},{"first_name":"Sebastian","orcid":"0000-0002-3389-793X","last_name":"Peitz","full_name":"Peitz, Sebastian","id":"47427"},{"full_name":"Nüske, Feliks","first_name":"Feliks","last_name":"Nüske"}],"title":"Error bounds for kernel-based approximations of the Koopman operator","year":"2024"},{"page":"137-154","_id":"53473","publisher":"Aisthesis","user_id":"105","editor":[{"full_name":"Elit, Stefan","last_name":"Elit","first_name":"Stefan"},{"full_name":"Eke, Norbert Otto","first_name":"Norbert Otto","last_name":"Eke"}],"volume":"41.","status":"public","place":"Bielefeld","citation":{"apa":"Elit, S. (2024). ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“. In S. Elit &#38; N. O. Eke (Eds.), <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023: Vol. 41.</i> (pp. 137–154). Aisthesis.","ieee":"S. Elit, “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“,” in <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, vol. 41., S. Elit and N. O. Eke, Eds. Bielefeld: Aisthesis, 2024, pp. 137–154.","short":"S. Elit, in: S. Elit, N.O. Eke (Eds.), ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023, Aisthesis, Bielefeld, 2024, pp. 137–154.","chicago":"Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“.” In <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit and Norbert Otto Eke, 41.:137–54. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Bielefeld: Aisthesis, 2024.","mla":"Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“.” <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>, edited by Stefan Elit and Norbert Otto Eke, vol. 41., Aisthesis, 2024, pp. 137–54.","ama":"Elit S. ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“. In: Elit S, Eke NO, eds. <i>‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023</i>. Vol 41. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Aisthesis; 2024:137-154.","bibtex":"@inbook{Elit_2024, place={Bielefeld}, series={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller}, title={‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“}, volume={41.}, booktitle={‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023}, publisher={Aisthesis}, author={Elit, Stefan}, editor={Elit, Stefan and Eke, Norbert Otto}, year={2024}, pages={137–154}, collection={Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller} }"},"series_title":"Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller","language":[{"iso":"ger"}],"year":"2024","title":"‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“","publication_identifier":{"eisbn":["978-3-8498-1958-3"],"isbn":["978-3-8498-1957-6"]},"author":[{"id":"105","full_name":"Elit, Stefan","orcid":"0000-0002-4719-1073","last_name":"Elit","first_name":"Stefan"}],"date_updated":"2024-04-12T16:06:59Z","publication_status":"published","date_created":"2024-04-12T16:05:19Z","type":"book_chapter","department":[{"_id":"465"},{"_id":"5"}],"publication":"‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023"},{"ddc":["530"],"user_id":"458","volume":57,"publisher":"IOP Publishing","_id":"52723","has_accepted_license":"1","status":"public","oa":"1","external_id":{"isi":["001196678300001"]},"quality_controlled":"1","file_date_updated":"2024-04-04T09:24:22Z","isi":"1","citation":{"short":"M.T. Meyer, A. Schindlmayr, Journal of Physics B: Atomic, Molecular and Optical Physics 57 (2024).","chicago":"Meyer, Maximilian Tim, and Arno Schindlmayr. “Derivation of Miller’s Rule for the Nonlinear Optical Susceptibility of a Quantum Anharmonic Oscillator.” <i>Journal of Physics B: Atomic, Molecular and Optical Physics</i> 57, no. 9 (2024). <a href=\"https://doi.org/10.1088/1361-6455/ad369c\">https://doi.org/10.1088/1361-6455/ad369c</a>.","apa":"Meyer, M. T., &#38; Schindlmayr, A. (2024). Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator. <i>Journal of Physics B: Atomic, Molecular and Optical Physics</i>, <i>57</i>(9), Article 095001. <a href=\"https://doi.org/10.1088/1361-6455/ad369c\">https://doi.org/10.1088/1361-6455/ad369c</a>","ieee":"M. T. Meyer and A. Schindlmayr, “Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator,” <i>Journal of Physics B: Atomic, Molecular and Optical Physics</i>, vol. 57, no. 9, Art. no. 095001, 2024, doi: <a href=\"https://doi.org/10.1088/1361-6455/ad369c\">10.1088/1361-6455/ad369c</a>.","ama":"Meyer MT, Schindlmayr A. Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator. <i>Journal of Physics B: Atomic, Molecular and Optical Physics</i>. 2024;57(9). doi:<a href=\"https://doi.org/10.1088/1361-6455/ad369c\">10.1088/1361-6455/ad369c</a>","bibtex":"@article{Meyer_Schindlmayr_2024, title={Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator}, volume={57}, DOI={<a href=\"https://doi.org/10.1088/1361-6455/ad369c\">10.1088/1361-6455/ad369c</a>}, number={9095001}, journal={Journal of Physics B: Atomic, Molecular and Optical Physics}, publisher={IOP Publishing}, author={Meyer, Maximilian Tim and Schindlmayr, Arno}, year={2024} }","mla":"Meyer, Maximilian Tim, and Arno Schindlmayr. “Derivation of Miller’s Rule for the Nonlinear Optical Susceptibility of a Quantum Anharmonic Oscillator.” <i>Journal of Physics B: Atomic, Molecular and Optical Physics</i>, vol. 57, no. 9, 095001, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.1088/1361-6455/ad369c\">10.1088/1361-6455/ad369c</a>."},"doi":"10.1088/1361-6455/ad369c","article_number":"095001","language":[{"iso":"eng"}],"date_updated":"2024-04-13T11:20:56Z","publication_status":"published","intvolume":"        57","article_type":"original","title":"Derivation of Miller's rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator","year":"2024","publication_identifier":{"eissn":["1361-6455"],"issn":["0953-4075"]},"author":[{"full_name":"Meyer, Maximilian Tim","last_name":"Meyer","orcid":"0009-0003-4899-0920","first_name":"Maximilian Tim","id":"77895"},{"orcid":"0000-0002-4855-071X","last_name":"Schindlmayr","first_name":"Arno","full_name":"Schindlmayr, Arno","id":"458"}],"type":"journal_article","department":[{"_id":"296"},{"_id":"230"},{"_id":"15"},{"_id":"170"},{"_id":"35"}],"file":[{"creator":"schindlm","date_created":"2024-04-04T09:24:22Z","description":"Creative Commons Attribution 4.0 International Public License (CC BY 4.0)","file_size":358155,"access_level":"open_access","file_name":"Meyer_2024_J._Phys._B _At._Mol._Opt._Phys._57_095001.pdf","date_updated":"2024-04-04T09:24:22Z","relation":"main_file","content_type":"application/pdf","file_id":"53204","title":"Derivation of Miller's rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator"}],"date_created":"2024-03-22T08:44:39Z","abstract":[{"text":"Miller's rule is an empirical relation between the nonlinear and linear optical coefficients that applies to a large class of materials but has only been rigorously derived for the classical Lorentz model with a weak anharmonic perturbation. In this work, we extend the proof and present a detailed derivation of Miller's rule for an equivalent quantum-mechanical anharmonic oscillator. For this purpose, the classical concept of velocity-dependent damping inherent to the Lorentz model is replaced by an adiabatic switch-on of the external electric field, which allows a unified treatment of the classical and quantum-mechanical systems using identical potentials and fields. Although the dynamics of the resulting charge oscillations, and hence the induced polarizations, deviate due to the finite zero-point motion in the quantum-mechanical framework, we find that Miller's rule is nevertheless identical in both cases up to terms of first order in the anharmonicity. With a view to practical applications, especially in the context of ab initio calculations for the optical response where adiabatically switched-on fields are widely assumed, we demonstrate that a correct treatment of finite broadening parameters is essential to avoid spurious errors that may falsely suggest a violation of Miller's rule, and we illustrate this point by means of a numerical example.","lang":"eng"}],"issue":"9","publication":"Journal of Physics B: Atomic, Molecular and Optical Physics"},{"date_created":"2024-04-12T18:31:39Z","department":[{"_id":"27"},{"_id":"518"},{"_id":"803"}],"type":"journal_article","publication":"Entropy","issue":"4","abstract":[{"text":"We present a novel approach to characterize and quantify microheterogeneity and microphase separation in computer simulations of complex liquid mixtures. Our post-processing method is based on local density fluctuations of the different constituents in sampling spheres of varying size. It can be easily applied to both molecular dynamics (MD) and Monte Carlo (MC) simulations, including periodic boundary conditions. Multidimensional correlation of the density distributions yields a clear picture of the domain formation due to the subtle balance of different interactions. We apply our approach to the example of force field molecular dynamics simulations of imidazolium-based ionic liquids with different side chain lengths at different temperatures, namely 1-ethyl-3-methylimidazolium chloride, 1-hexyl-3-methylimidazolium chloride, and 1-decyl-3-methylimidazolium chloride, which are known to form distinct liquid domains. We put the results into the context of existing microheterogeneity analyses and demonstrate the advantages and sensitivity of our novel method. Furthermore, we show how to estimate the configuration entropy from our analysis, and we investigate voids in the system. The analysis has been implemented into our program package TRAVIS and is thus available as free software.","lang":"eng"}],"language":[{"iso":"eng"}],"article_number":"322","doi":"10.3390/e26040322","author":[{"id":"24135","full_name":"Lass, Michael","last_name":"Lass","orcid":"0000-0002-5708-7632","first_name":"Michael"},{"full_name":"Kenter, Tobias","last_name":"Kenter","first_name":"Tobias","id":"3145"},{"id":"16153","first_name":"Christian","orcid":"0000-0001-5728-9982","last_name":"Plessl","full_name":"Plessl, Christian"},{"full_name":"Brehm, Martin","first_name":"Martin","last_name":"Brehm","id":"100167"}],"publication_identifier":{"issn":["1099-4300"]},"title":"Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations","year":"2024","intvolume":"        26","date_updated":"2024-04-12T18:34:32Z","publication_status":"published","citation":{"ama":"Lass M, Kenter T, Plessl C, Brehm M. Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations. <i>Entropy</i>. 2024;26(4). doi:<a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>","bibtex":"@article{Lass_Kenter_Plessl_Brehm_2024, title={Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations}, volume={26}, DOI={<a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>}, number={4322}, journal={Entropy}, publisher={MDPI AG}, author={Lass, Michael and Kenter, Tobias and Plessl, Christian and Brehm, Martin}, year={2024} }","mla":"Lass, Michael, et al. “Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations.” <i>Entropy</i>, vol. 26, no. 4, 322, MDPI AG, 2024, doi:<a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>.","chicago":"Lass, Michael, Tobias Kenter, Christian Plessl, and Martin Brehm. “Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations.” <i>Entropy</i> 26, no. 4 (2024). <a href=\"https://doi.org/10.3390/e26040322\">https://doi.org/10.3390/e26040322</a>.","short":"M. Lass, T. Kenter, C. Plessl, M. Brehm, Entropy 26 (2024).","apa":"Lass, M., Kenter, T., Plessl, C., &#38; Brehm, M. (2024). Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations. <i>Entropy</i>, <i>26</i>(4), Article 322. <a href=\"https://doi.org/10.3390/e26040322\">https://doi.org/10.3390/e26040322</a>","ieee":"M. Lass, T. Kenter, C. Plessl, and M. Brehm, “Characterizing Microheterogeneity in Liquid Mixtures via Local Density Fluctuations,” <i>Entropy</i>, vol. 26, no. 4, Art. no. 322, 2024, doi: <a href=\"https://doi.org/10.3390/e26040322\">10.3390/e26040322</a>."},"project":[{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"publisher":"MDPI AG","_id":"53474","volume":26,"user_id":"24135","status":"public"},{"citation":{"mla":"Eke, Norbert, and Stefan Elit, editors. <i>’Topographisches‘ Schreiben: Lea Streisand. Paderborn Wintersemester 2022/23</i>. 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