[{"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} }","mla":"Soleymani, Mohammad, et al. “Optimization of the Downlink Spectral- and Energy-Efficiency of RIS-Aided Multi-User URLLC MIMO Systems.” ArXiv:2402.16434, 2024.","short":"M. Soleymani, I. Santamaria, E. Jorswieck, R. Schober, L. Hanzo, ArXiv:2402.16434 (2024).","apa":"Soleymani, M., Santamaria, I., Jorswieck, E., Schober, R., & Hanzo, L. (2024). Optimization of the Downlink Spectral- and Energy-Efficiency of RIS-aided Multi-user URLLC MIMO Systems. In arXiv:2402.16434.","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. arXiv:240216434. Published online 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.” 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,” arXiv:2402.16434. 2024."},"year":"2024","title":"Optimization of the Downlink Spectral- and Energy-Efficiency of RIS-aided Multi-user URLLC MIMO Systems","date_created":"2024-04-05T09:16:32Z","author":[{"full_name":"Soleymani, Mohammad","last_name":"Soleymani","first_name":"Mohammad"},{"first_name":"Ignacio","last_name":"Santamaria","full_name":"Santamaria, Ignacio"},{"first_name":"Eduard","full_name":"Jorswieck, Eduard","last_name":"Jorswieck"},{"last_name":"Schober","full_name":"Schober, Robert","first_name":"Robert"},{"first_name":"Lajos","last_name":"Hanzo","full_name":"Hanzo, Lajos"}],"date_updated":"2024-04-05T13:18:19Z","status":"public","abstract":[{"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.","lang":"eng"}],"publication":"arXiv:2402.16434","type":"preprint","language":[{"iso":"eng"}],"department":[{"_id":"263"}],"user_id":"67076","_id":"53282","external_id":{"arxiv":["2402.16434"]}},{"date_updated":"2024-04-05T13:20:28Z","publisher":"IEEE","author":[{"full_name":"Soleymani, Mohammad","last_name":"Soleymani","first_name":"Mohammad"},{"last_name":"Santamaria","full_name":"Santamaria, Ignacio","first_name":"Ignacio"},{"first_name":"Aydin","last_name":"Sezgin","full_name":"Sezgin, Aydin"},{"last_name":"Jorswieck","full_name":"Jorswieck, Eduard","first_name":"Eduard"}],"date_created":"2024-04-05T09:00:06Z","title":"Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels","doi":"10.1109/camsap58249.2023.10403459","publication_status":"published","year":"2024","citation":{"apa":"Soleymani, M., Santamaria, I., Sezgin, A., & Jorswieck, E. (2024). Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels. 2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP). https://doi.org/10.1109/camsap58249.2023.10403459","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.","bibtex":"@inproceedings{Soleymani_Santamaria_Sezgin_Jorswieck_2024, title={Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels}, DOI={10.1109/camsap58249.2023.10403459}, 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} }","mla":"Soleymani, Mohammad, et al. “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels.” 2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), IEEE, 2024, doi:10.1109/camsap58249.2023.10403459.","ama":"Soleymani M, Santamaria I, Sezgin A, Jorswieck E. Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels. In: 2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP). IEEE; 2024. doi:10.1109/camsap58249.2023.10403459","ieee":"M. Soleymani, I. Santamaria, A. Sezgin, and E. Jorswieck, “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels,” 2024, doi: 10.1109/camsap58249.2023.10403459.","chicago":"Soleymani, Mohammad, Ignacio Santamaria, Aydin Sezgin, and Eduard Jorswieck. “Maximization of Minimum Rate in MIMO OFDM RIS-Assisted Broadcast Channels.” In 2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP). IEEE, 2024. https://doi.org/10.1109/camsap58249.2023.10403459."},"_id":"53259","user_id":"67076","department":[{"_id":"263"}],"language":[{"iso":"eng"}],"type":"conference","publication":"2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)","status":"public"},{"user_id":"67076","department":[{"_id":"263"}],"_id":"53258","language":[{"iso":"eng"}],"type":"conference","publication":"GLOBECOM 2023 - 2023 IEEE Global Communications Conference","status":"public","date_created":"2024-04-05T08:59:35Z","author":[{"first_name":"Mohammad","full_name":"Soleymani, Mohammad","last_name":"Soleymani"},{"first_name":"Ignacio","full_name":"Santamaria, Ignacio","last_name":"Santamaria"},{"first_name":"Eduard","full_name":"Jorswieck, Eduard","last_name":"Jorswieck"}],"date_updated":"2024-04-05T13:21:21Z","publisher":"IEEE","doi":"10.1109/globecom54140.2023.10437458","title":"NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments","publication_status":"published","citation":{"apa":"Soleymani, M., Santamaria, I., & Jorswieck, E. (2024). NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments. GLOBECOM 2023 - 2023 IEEE Global Communications Conference. https://doi.org/10.1109/globecom54140.2023.10437458","mla":"Soleymani, Mohammad, et al. “NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments.” GLOBECOM 2023 - 2023 IEEE Global Communications Conference, IEEE, 2024, doi:10.1109/globecom54140.2023.10437458.","bibtex":"@inproceedings{Soleymani_Santamaria_Jorswieck_2024, title={NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments}, DOI={10.1109/globecom54140.2023.10437458}, booktitle={GLOBECOM 2023 - 2023 IEEE Global Communications Conference}, publisher={IEEE}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard}, year={2024} }","short":"M. Soleymani, I. Santamaria, E. Jorswieck, in: GLOBECOM 2023 - 2023 IEEE Global Communications Conference, IEEE, 2024.","ieee":"M. Soleymani, I. Santamaria, and E. Jorswieck, “NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments,” 2024, doi: 10.1109/globecom54140.2023.10437458.","chicago":"Soleymani, Mohammad, Ignacio Santamaria, and Eduard Jorswieck. “NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments.” In GLOBECOM 2023 - 2023 IEEE Global Communications Conference. IEEE, 2024. https://doi.org/10.1109/globecom54140.2023.10437458.","ama":"Soleymani M, Santamaria I, Jorswieck E. NOMA-Based Improper Signaling for MIMO STAR-RIS-Assisted Broadcast Channels with Hardware Impairments. In: GLOBECOM 2023 - 2023 IEEE Global Communications Conference. IEEE; 2024. doi:10.1109/globecom54140.2023.10437458"},"year":"2024"},{"department":[{"_id":"263"}],"user_id":"56070","_id":"53304","language":[{"iso":"eng"}],"publication":"ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","type":"conference","status":"public","author":[{"id":"56070","full_name":"Kuschel, Maurice","last_name":"Kuschel","first_name":"Maurice"},{"first_name":"Tanuj","last_name":"Hasija","full_name":"Hasija, Tanuj","id":"43497"},{"full_name":"Marrinan, Timothy","last_name":"Marrinan","first_name":"Timothy"}],"date_created":"2024-04-05T14:40:34Z","publisher":"IEEE","date_updated":"2024-04-05T14:50:14Z","doi":"10.1109/icassp48485.2024.10446173","title":"Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning","publication_status":"published","citation":{"mla":"Kuschel, Maurice, et al. “Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning.” ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2024, doi:10.1109/icassp48485.2024.10446173.","short":"M. Kuschel, T. Hasija, T. Marrinan, in: ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2024.","bibtex":"@inproceedings{Kuschel_Hasija_Marrinan_2024, title={Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning}, DOI={10.1109/icassp48485.2024.10446173}, 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} }","apa":"Kuschel, M., Hasija, T., & Marrinan, T. (2024). Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning. ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). https://doi.org/10.1109/icassp48485.2024.10446173","ama":"Kuschel M, Hasija T, Marrinan T. Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning. In: ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE; 2024. doi:10.1109/icassp48485.2024.10446173","ieee":"M. Kuschel, T. Hasija, and T. Marrinan, “Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning,” 2024, doi: 10.1109/icassp48485.2024.10446173.","chicago":"Kuschel, Maurice, Tanuj Hasija, and Timothy Marrinan. “Rademacher Complexity Regularization for Correlation-Based Multiview Representation Learning.” In ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2024. https://doi.org/10.1109/icassp48485.2024.10446173."},"year":"2024"},{"title":"A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects","doi":"10.1007/s00028-024-00954-x","publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-07T12:36:21Z","author":[{"first_name":"Christian","full_name":"Stinner, Christian","last_name":"Stinner"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_created":"2024-04-07T12:29:25Z","volume":24,"year":"2024","citation":{"ama":"Stinner C, Winkler M. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations. 2024;24(2). doi:10.1007/s00028-024-00954-x","ieee":"C. Stinner and M. Winkler, “A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects,” Journal of Evolution Equations, vol. 24, no. 2, Art. no. 26, 2024, doi: 10.1007/s00028-024-00954-x.","chicago":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” Journal of Evolution Equations 24, no. 2 (2024). https://doi.org/10.1007/s00028-024-00954-x.","short":"C. Stinner, M. Winkler, Journal of Evolution Equations 24 (2024).","mla":"Stinner, Christian, and Michael Winkler. “A Critical Exponent in a Quasilinear Keller–Segel System with Arbitrarily Fast Decaying Diffusivities Accounting for Volume-Filling Effects.” Journal of Evolution Equations, vol. 24, no. 2, 26, Springer Science and Business Media LLC, 2024, doi:10.1007/s00028-024-00954-x.","bibtex":"@article{Stinner_Winkler_2024, title={A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects}, volume={24}, DOI={10.1007/s00028-024-00954-x}, number={226}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Stinner, Christian and Winkler, Michael}, year={2024} }","apa":"Stinner, C., & Winkler, M. (2024). A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. Journal of Evolution Equations, 24(2), Article 26. https://doi.org/10.1007/s00028-024-00954-x"},"intvolume":" 24","publication_status":"published","publication_identifier":{"issn":["1424-3199","1424-3202"]},"issue":"2","article_number":"26","keyword":["Mathematics (miscellaneous)"],"language":[{"iso":"eng"}],"_id":"53316","user_id":"31496","abstract":[{"text":"AbstractThe quasilinear Keller–Segel system $$\\begin{aligned} \\left\\{ \\begin{array}{l} u_t=\\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (S(u)\\nabla v), \\\\ v_t=\\Delta v-v+u, \\end{array}\\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n =\r\n ∇\r\n ·\r\n \r\n (\r\n D\r\n \r\n (\r\n u\r\n )\r\n \r\n ∇\r\n u\r\n )\r\n \r\n -\r\n ∇\r\n ·\r\n \r\n (\r\n S\r\n \r\n (\r\n u\r\n )\r\n \r\n ∇\r\n v\r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n v\r\n t\r\n \r\n =\r\n Δ\r\n v\r\n -\r\n v\r\n +\r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n endowed with homogeneous Neumann boundary conditions is considered in a bounded domain $$\\Omega \\subset {\\mathbb {R}}^n$$\r\n \r\n Ω\r\n ⊂\r\n \r\n \r\n R\r\n \r\n n\r\n \r\n \r\n , $$n \\ge 3$$\r\n \r\n n\r\n ≥\r\n 3\r\n \r\n , with smooth boundary for sufficiently regular functions D and S satisfying $$D>0$$\r\n \r\n D\r\n >\r\n 0\r\n \r\n on $$[0,\\infty )$$\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n , $$S>0$$\r\n \r\n S\r\n >\r\n 0\r\n \r\n on $$(0,\\infty )$$\r\n \r\n (\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n and $$S(0)=0$$\r\n \r\n S\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n . On the one hand, it is shown that if $$\\frac{S}{D}$$\r\n \r\n S\r\n D\r\n \r\n satisfies the subcritical growth condition $$\\begin{aligned} \\frac{S(s)}{D(s)} \\le C s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha < \\frac{2}{n} \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n S\r\n (\r\n s\r\n )\r\n \r\n \r\n D\r\n (\r\n s\r\n )\r\n \r\n \r\n ≤\r\n C\r\n \r\n s\r\n α\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n s\r\n ≥\r\n 1\r\n \r\n \r\n with\r\n \r\n \r\n some\r\n \r\n α\r\n <\r\n \r\n 2\r\n n\r\n \r\n \r\n \r\n \r\n \r\n \r\n and $$C>0$$\r\n \r\n C\r\n >\r\n 0\r\n \r\n , then for any sufficiently regular initial data there exists a global weak energy solution such that $${ \\mathrm{{ess}}} \\sup _{t>0} \\Vert u(t) \\Vert _{L^p(\\Omega )}<\\infty $$\r\n \r\n ess\r\n \r\n sup\r\n \r\n t\r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n ‖\r\n u\r\n \r\n (\r\n t\r\n )\r\n \r\n ‖\r\n \r\n \r\n \r\n L\r\n p\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n <\r\n ∞\r\n \r\n for some $$p > \\frac{2n}{n+2}$$\r\n \r\n p\r\n >\r\n \r\n \r\n 2\r\n n\r\n \r\n \r\n n\r\n +\r\n 2\r\n \r\n \r\n \r\n . On the other hand, if $$\\frac{S}{D}$$\r\n \r\n S\r\n D\r\n \r\n satisfies the supercritical growth condition $$\\begin{aligned} \\frac{S(s)}{D(s)} \\ge c s^\\alpha \\qquad \\text{ for } \\text{ all } s\\ge 1 \\qquad \\text{ with } \\text{ some } \\alpha > \\frac{2}{n} \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n S\r\n (\r\n s\r\n )\r\n \r\n \r\n D\r\n (\r\n s\r\n )\r\n \r\n \r\n ≥\r\n c\r\n \r\n s\r\n α\r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n s\r\n ≥\r\n 1\r\n \r\n \r\n with\r\n \r\n \r\n some\r\n \r\n α\r\n >\r\n \r\n 2\r\n n\r\n \r\n \r\n \r\n \r\n \r\n \r\n and $$c>0$$\r\n \r\n c\r\n >\r\n 0\r\n \r\n , then the nonexistence of a global weak energy solution having the boundedness property stated above is shown for some initial data in the radial setting. This establishes some criticality of the value $$\\alpha = \\frac{2}{n}$$\r\n \r\n α\r\n =\r\n \r\n 2\r\n n\r\n \r\n \r\n for $$n \\ge 3$$\r\n \r\n n\r\n ≥\r\n 3\r\n \r\n , without any additional assumption on the behavior of D(s) as $$s \\rightarrow \\infty $$\r\n \r\n s\r\n →\r\n ∞\r\n \r\n , in particular without requiring any algebraic lower bound for D. When applied to the Keller–Segel system with volume-filling effect for probability distribution functions of the type $$Q(s) = \\exp (-s^\\beta )$$\r\n \r\n Q\r\n \r\n (\r\n s\r\n )\r\n \r\n =\r\n exp\r\n \r\n (\r\n -\r\n \r\n s\r\n β\r\n \r\n )\r\n \r\n \r\n , $$s \\ge 0$$\r\n \r\n s\r\n ≥\r\n 0\r\n \r\n , for global solvability the exponent $$\\beta = \\frac{n-2}{n}$$\r\n \r\n β\r\n =\r\n \r\n \r\n n\r\n -\r\n 2\r\n \r\n n\r\n \r\n \r\n is seen to be critical.\r\n","lang":"eng"}],"status":"public","type":"journal_article","publication":"Journal of Evolution Equations"},{"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"_id":"53315","user_id":"31496","abstract":[{"text":"AbstractIn a smoothly bounded two‐dimensional domain and for a given nondecreasing positive unbounded , for each and the inequality\r\nis shown to hold for any positive fulfilling\r\nThis is thereafter applied to nonglobal solutions of the Keller–Segel system coupled to the incompressible Navier–Stokes equations through transport and buoyancy, and it is seen that in any such blow‐up event the corresponding population density cannot remain uniformly integrable over near its explosion time.","lang":"eng"}],"status":"public","publication":"Journal of the London Mathematical Society","type":"journal_article","title":"An interpolation inequality involving $L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system","doi":"10.1112/jlms.12885","date_updated":"2024-04-07T12:36:25Z","publisher":"Wiley","volume":109,"date_created":"2024-04-07T12:27:28Z","author":[{"full_name":"Wang, Yulan","last_name":"Wang","first_name":"Yulan"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"year":"2024","intvolume":" 109","citation":{"chicago":"Wang, Yulan, and Michael Winkler. “An Interpolation Inequality Involving $L\\log L$ Spaces and Application to the Characterization of Blow‐up Behavior in a Two‐dimensional Keller–Segel–Navier–Stokes System.” Journal of the London Mathematical Society 109, no. 3 (2024). https://doi.org/10.1112/jlms.12885.","ieee":"Y. Wang and M. Winkler, “An interpolation inequality involving $L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system,” Journal of the London Mathematical Society, vol. 109, no. 3, 2024, doi: 10.1112/jlms.12885.","ama":"Wang Y, Winkler M. An interpolation inequality involving $L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system. Journal of the London Mathematical Society. 2024;109(3). doi:10.1112/jlms.12885","apa":"Wang, Y., & Winkler, M. (2024). An interpolation inequality involving $L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system. Journal of the London Mathematical Society, 109(3). https://doi.org/10.1112/jlms.12885","short":"Y. Wang, M. Winkler, Journal of the London Mathematical Society 109 (2024).","bibtex":"@article{Wang_Winkler_2024, title={An interpolation inequality involving $L\\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system}, volume={109}, DOI={10.1112/jlms.12885}, number={3}, journal={Journal of the London Mathematical Society}, publisher={Wiley}, author={Wang, Yulan and Winkler, Michael}, year={2024} }","mla":"Wang, Yulan, and Michael Winkler. “An Interpolation Inequality Involving $L\\log L$ Spaces and Application to the Characterization of Blow‐up Behavior in a Two‐dimensional Keller–Segel–Navier–Stokes System.” Journal of the London Mathematical Society, vol. 109, no. 3, Wiley, 2024, doi:10.1112/jlms.12885."},"publication_identifier":{"issn":["0024-6107","1469-7750"]},"publication_status":"published","issue":"3"},{"citation":{"bibtex":"@article{Voß_2024, title={Rezension zu Anna-Victoria Bognár: Der Architekt in der Frühen Neuzeit. 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Zeitschrift für Geschlecht, Kultur und Gesellschaft ","user_id":"27914","language":[{"iso":"eng"}],"type":"book_editor","editor":[{"full_name":"Eremin, Oxana","last_name":"Eremin","first_name":"Oxana"},{"first_name":"Antje","last_name":"Langer","full_name":"Langer, Antje"},{"last_name":"Mattei","full_name":"Mattei, Annalisa","first_name":"Annalisa"},{"first_name":"Claudia","full_name":"Mahs, Claudia","last_name":"Mahs"}],"status":"public","date_updated":"2024-04-11T08:32:17Z","volume":16,"date_created":"2024-03-27T10:28:27Z","title":"Reproduktionspolitiken und Selbstbestimmung","year":"2024","intvolume":" 16","citation":{"bibtex":"@book{Eremin_Langer_Mattei_Mahs_2024, series={GENDER. Zeitschrift für Geschlecht, Kultur und Gesellschaft }, title={Reproduktionspolitiken und Selbstbestimmung}, volume={16}, year={2024}, collection={GENDER. Zeitschrift für Geschlecht, Kultur und Gesellschaft } }","mla":"Eremin, Oxana, et al., editors. Reproduktionspolitiken Und Selbstbestimmung. 2024.","short":"O. Eremin, A. Langer, A. Mattei, C. Mahs, eds., Reproduktionspolitiken Und Selbstbestimmung, 2024.","apa":"Eremin, O., Langer, A., Mattei, A., & Mahs, C. (Eds.). (2024). Reproduktionspolitiken und Selbstbestimmung (Vol. 16).","ama":"Eremin O, Langer A, Mattei A, Mahs C, eds. Reproduktionspolitiken Und Selbstbestimmung. Vol 16.; 2024.","ieee":"O. Eremin, A. Langer, A. Mattei, and C. Mahs, Eds., Reproduktionspolitiken und Selbstbestimmung, vol. 16. 2024.","chicago":"Eremin, Oxana, Antje Langer, Annalisa Mattei, and Claudia Mahs, eds. Reproduktionspolitiken Und Selbstbestimmung. Vol. 16. GENDER. Zeitschrift Für Geschlecht, Kultur Und Gesellschaft , 2024."}},{"year":"2024","title":"Error bounds for kernel-based approximations of the Koopman operator","date_created":"2023-01-23T07:03:39Z","publisher":"Springer ","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 ","language":[{"iso":"eng"}],"external_id":{"arxiv":["2301.08637"]},"citation":{"ama":"Philipp F, Schaller M, Worthmann K, Peitz S, Nüske F. Error bounds for kernel-based approximations of the Koopman operator. Applied and Computational Harmonic Analysis . 2024;71. doi:10.1016/j.acha.2024.101657","chicago":"Philipp, Friedrich, Manuel Schaller, Karl Worthmann, Sebastian Peitz, and Feliks Nüske. “Error Bounds for Kernel-Based Approximations of the Koopman Operator.” Applied and Computational Harmonic Analysis 71 (2024). https://doi.org/10.1016/j.acha.2024.101657.","ieee":"F. Philipp, M. Schaller, K. Worthmann, S. Peitz, and F. Nüske, “Error bounds for kernel-based approximations of the Koopman operator,” Applied and Computational Harmonic Analysis , vol. 71, Art. no. 101657, 2024, doi: 10.1016/j.acha.2024.101657.","apa":"Philipp, F., Schaller, M., Worthmann, K., Peitz, S., & Nüske, F. (2024). Error bounds for kernel-based approximations of the Koopman operator. 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Nüske, Applied and Computational Harmonic Analysis 71 (2024)."},"intvolume":" 71","publication_status":"published","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2301.08637"}],"doi":"10.1016/j.acha.2024.101657","author":[{"last_name":"Philipp","full_name":"Philipp, Friedrich","first_name":"Friedrich"},{"last_name":"Schaller","full_name":"Schaller, Manuel","first_name":"Manuel"},{"first_name":"Karl","full_name":"Worthmann, Karl","last_name":"Worthmann"},{"orcid":"0000-0002-3389-793X","last_name":"Peitz","full_name":"Peitz, Sebastian","id":"47427","first_name":"Sebastian"},{"first_name":"Feliks","full_name":"Nüske, Feliks","last_name":"Nüske"}],"volume":71,"oa":"1","date_updated":"2024-04-11T12:41:13Z","status":"public","type":"journal_article","article_number":"101657","user_id":"47427","department":[{"_id":"655"}],"_id":"38031"},{"page":"167–184","intvolume":" 39","citation":{"apa":"Sharma , Umesh , Loreman , Tim , May , Fiona , Romano , Alessandra , Lozano , C. S., Avramidis , Elias , Woodcock , Stuart , Subban , Pearl , & Kullmann, H. (2024). Measuring collective efficacy for inclusion in a global context. European Journal of Special Needs Education, 39(2), 167–184. https://doi.org/10.1080/08856257.2023.2195075","short":"Umesh Sharma , Tim Loreman , Fiona May , Alessandra Romano , C.S. Lozano , Elias Avramidis , Stuart Woodcock , Pearl Subban , H. Kullmann, European Journal of Special Needs Education 39 (2024) 167–184.","bibtex":"@article{Sharma _Loreman _May _Romano _Lozano _Avramidis _Woodcock _Subban _Kullmann_2024, title={Measuring collective efficacy for inclusion in a global context}, volume={39}, DOI={10.1080/08856257.2023.2195075}, number={2}, journal={European Journal of Special Needs Education}, author={Sharma , Umesh and Loreman , Tim and May , Fiona and Romano , Alessandra and Lozano , Caroline Sahli and Avramidis , Elias and Woodcock , Stuart and Subban , Pearl and Kullmann, Harry}, year={2024}, pages={167–184} }","mla":"Sharma , Umesh , et al. “Measuring Collective Efficacy for Inclusion in a Global Context.” European Journal of Special Needs Education, vol. 39, no. 2, 2024, pp. 167–184, doi:10.1080/08856257.2023.2195075.","chicago":"Sharma , Umesh , Tim Loreman , Fiona May , Alessandra Romano , Caroline Sahli Lozano , Elias Avramidis , Stuart Woodcock , Pearl Subban , and Harry Kullmann. “Measuring Collective Efficacy for Inclusion in a Global Context.” European Journal of Special Needs Education 39, no. 2 (2024): 167–184. https://doi.org/10.1080/08856257.2023.2195075.","ieee":"Umesh Sharma et al., “Measuring collective efficacy for inclusion in a global context,” European Journal of Special Needs Education, vol. 39, no. 2, pp. 167–184, 2024, doi: 10.1080/08856257.2023.2195075.","ama":"Sharma Umesh , Loreman Tim , May Fiona , et al. Measuring collective efficacy for inclusion in a global context. European Journal of Special Needs Education. 2024;39(2):167–184. doi:10.1080/08856257.2023.2195075"},"year":"2024","issue":"2","doi":"10.1080/08856257.2023.2195075","title":"Measuring collective efficacy for inclusion in a global context","volume":39,"author":[{"last_name":"Sharma ","full_name":"Sharma , Umesh ","first_name":" Umesh "},{"first_name":" Tim ","full_name":"Loreman , Tim ","last_name":"Loreman "},{"last_name":"May ","full_name":"May , Fiona ","first_name":" Fiona "},{"last_name":"Romano ","full_name":"Romano , Alessandra ","first_name":" Alessandra "},{"full_name":"Lozano , Caroline Sahli","last_name":"Lozano ","first_name":"Caroline Sahli"},{"last_name":"Avramidis ","full_name":"Avramidis , Elias ","first_name":" Elias "},{"first_name":" Stuart ","full_name":"Woodcock , Stuart ","last_name":"Woodcock "},{"first_name":" Pearl ","full_name":"Subban , Pearl ","last_name":"Subban "},{"first_name":"Harry","id":"77972","full_name":"Kullmann, Harry","last_name":"Kullmann"}],"date_created":"2023-03-28T13:01:09Z","date_updated":"2024-04-11T13:17:29Z","status":"public","publication":"European Journal of Special Needs Education","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"556"}],"user_id":"65969","_id":"43135"},{"language":[{"iso":"eng"}],"_id":"53437","user_id":"49153","status":"public","publication":"11th IEEE International Conference on Computing, Networking and Communications (ICNC 2024)","type":"conference","title":"Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks","date_updated":"2024-04-11T18:29:47Z","author":[{"first_name":"Touhid Hossain","full_name":"Pritom, Touhid Hossain","last_name":"Pritom"},{"last_name":"Welzel","full_name":"Welzel, Simon","first_name":"Simon"},{"last_name":"Klingler","full_name":"Klingler, Florian","first_name":"Florian"}],"date_created":"2024-04-11T18:26:09Z","year":"2024","place":"Big Island, HI","citation":{"short":"T.H. Pritom, S. Welzel, F. Klingler, in: 11th IEEE International Conference on Computing, Networking and Communications (ICNC 2024), Big Island, HI, 2024.","bibtex":"@inproceedings{Pritom_Welzel_Klingler_2024, place={Big Island, HI}, title={Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks}, booktitle={11th IEEE International Conference on Computing, Networking and Communications (ICNC 2024)}, author={Pritom, Touhid Hossain and Welzel, Simon and Klingler, Florian}, year={2024} }","mla":"Pritom, Touhid Hossain, et al. “Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks.” 11th IEEE International Conference on Computing, Networking and Communications (ICNC 2024), 2024.","apa":"Pritom, T. H., Welzel, S., & Klingler, F. (2024). Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks. 11th IEEE International Conference on Computing, Networking and Communications (ICNC 2024).","chicago":"Pritom, Touhid Hossain, Simon Welzel, and Florian Klingler. “Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks.” In 11th IEEE International Conference on Computing, Networking and Communications (ICNC 2024). Big Island, HI, 2024.","ieee":"T. H. Pritom, S. Welzel, and F. Klingler, “Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks,” 2024.","ama":"Pritom TH, Welzel S, Klingler F. Cuckoos United: Extending Cuckoo Filters for Message Dissemination in Vehicular Networks. In: 11th IEEE International Conference on Computing, Networking and Communications (ICNC 2024). ; 2024."}},{"status":"public","type":"journal_article","article_number":"012011","user_id":"94328","_id":"53417","citation":{"bibtex":"@article{Gschwind_Hohmann_Müller_Nordine_Riesen_2024, title={The Stellarium Gornergrat: Astrophysics with your own Data}, volume={2727}, DOI={10.1088/1742-6596/2727/1/012011}, number={1012011}, journal={Journal of Physics: Conference Series}, publisher={IOP Publishing}, author={Gschwind, Stéphane and Hohmann, Sascha and Müller, Andreas and Nordine, Jeffrey and Riesen, Timm-Emanuel}, year={2024} }","mla":"Gschwind, Stéphane, et al. “The Stellarium Gornergrat: Astrophysics with Your Own Data.” Journal of Physics: Conference Series, vol. 2727, no. 1, 012011, IOP Publishing, 2024, doi:10.1088/1742-6596/2727/1/012011.","short":"S. Gschwind, S. Hohmann, A. Müller, J. Nordine, T.-E. Riesen, Journal of Physics: Conference Series 2727 (2024).","apa":"Gschwind, S., Hohmann, S., Müller, A., Nordine, J., & Riesen, T.-E. (2024). The Stellarium Gornergrat: Astrophysics with your own Data. Journal of Physics: Conference Series, 2727(1), Article 012011. https://doi.org/10.1088/1742-6596/2727/1/012011","ieee":"S. Gschwind, S. Hohmann, A. Müller, J. Nordine, and T.-E. Riesen, “The Stellarium Gornergrat: Astrophysics with your own Data,” Journal of Physics: Conference Series, vol. 2727, no. 1, Art. no. 012011, 2024, doi: 10.1088/1742-6596/2727/1/012011.","chicago":"Gschwind, Stéphane, Sascha Hohmann, Andreas Müller, Jeffrey Nordine, and Timm-Emanuel Riesen. “The Stellarium Gornergrat: Astrophysics with Your Own Data.” Journal of Physics: Conference Series 2727, no. 1 (2024). https://doi.org/10.1088/1742-6596/2727/1/012011.","ama":"Gschwind S, Hohmann S, Müller A, Nordine J, Riesen T-E. The Stellarium Gornergrat: Astrophysics with your own Data. Journal of Physics: Conference Series. 2024;2727(1). doi:10.1088/1742-6596/2727/1/012011"},"intvolume":" 2727","publication_status":"published","publication_identifier":{"issn":["1742-6588","1742-6596"]},"main_file_link":[{"open_access":"1","url":"https://iopscience.iop.org/article/10.1088/1742-6596/2727/1/012011/pdf"}],"conference":{"end_date":"2021-12-16","location":"Hanoi","name":"3rd World Conference on Physics Education","start_date":"2021-12-13"},"doi":"10.1088/1742-6596/2727/1/012011","author":[{"full_name":"Gschwind, Stéphane","last_name":"Gschwind","first_name":"Stéphane"},{"first_name":"Sascha","id":"94328","full_name":"Hohmann, Sascha","orcid":"0000-0001-6145-3466","last_name":"Hohmann"},{"full_name":"Müller, Andreas","last_name":"Müller","first_name":"Andreas"},{"last_name":"Nordine","full_name":"Nordine, Jeffrey","first_name":"Jeffrey"},{"first_name":"Timm-Emanuel","last_name":"Riesen","full_name":"Riesen, Timm-Emanuel"}],"volume":2727,"date_updated":"2024-04-12T11:34:19Z","oa":"1","abstract":[{"text":"Abstract\r\n Remote-controlled telescopes in education provide the opportunity to obtain high quality astronomy images for a broad variety of users. The Stellarium Gornergrat is such a telescope. In addition to pure observation, it offers a user-friendly interface and teaching modules so that astronomical and astrophysical projects can be integrated into everyday school life without any special prior knowledge and without requiring a lot of time. This contribution presents the Stellarium project and a provides an overview of several teaching activities.","lang":"eng"}],"publication":"Journal of Physics: Conference Series","language":[{"iso":"eng"}],"keyword":["Computer Science Applications","History","Education"],"year":"2024","issue":"1","quality_controlled":"1","title":"The Stellarium Gornergrat: Astrophysics with your own Data","date_created":"2024-04-11T12:37:49Z","publisher":"IOP Publishing"},{"status":"public","editor":[{"last_name":"Elit","full_name":"Elit, Stefan","first_name":"Stefan"},{"last_name":"Eke","full_name":"Eke, Norbert Otto","first_name":"Norbert Otto"}],"publication":"‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023","type":"book_chapter","language":[{"iso":"ger"}],"department":[{"_id":"465"},{"_id":"5"}],"user_id":"105","series_title":"Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller","_id":"53473","page":"137-154","citation":{"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} }","short":"S. Elit, in: S. Elit, N.O. Eke (Eds.), ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023, Aisthesis, Bielefeld, 2024, pp. 137–154.","mla":"Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“.” ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023, edited by Stefan Elit and Norbert Otto Eke, vol. 41., Aisthesis, 2024, pp. 137–54.","apa":"Elit, S. (2024). ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“. In S. Elit & N. O. Eke (Eds.), ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023: Vol. 41. (pp. 137–154). Aisthesis.","ama":"Elit S. ‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“. In: Elit S, Eke NO, eds. ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023. Vol 41. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Aisthesis; 2024:137-154.","ieee":"S. Elit, “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“,” in ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023, vol. 41., S. Elit and N. O. Eke, Eds. Bielefeld: Aisthesis, 2024, pp. 137–154.","chicago":"Elit, Stefan. “‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“.” In ‚Topographisches‘ Schreiben: Lea Streisand, Paderborn, Wintersemester 2022/2023, edited by Stefan Elit and Norbert Otto Eke, 41.:137–54. Paderborner Gastdozentur für Schriftstellerinnen und Schriftsteller. Bielefeld: Aisthesis, 2024."},"place":"Bielefeld","year":"2024","publication_identifier":{"eisbn":["978-3-8498-1958-3"],"isbn":["978-3-8498-1957-6"]},"publication_status":"published","title":"‚Schelmische‘ Post-DDR-Romane: Ingo Schulzes „Peter Holtz“ und Lea Streisands „Hufeland, Ecke Bötzow“","volume":"41.","author":[{"first_name":"Stefan","orcid":"0000-0002-4719-1073","last_name":"Elit","full_name":"Elit, Stefan","id":"105"}],"date_created":"2024-04-12T16:05:19Z","publisher":"Aisthesis","date_updated":"2024-04-12T16:06:59Z"},{"doi":"10.1088/1361-6455/ad369c","oa":"1","date_updated":"2024-04-13T11:20:56Z","volume":57,"author":[{"last_name":"Meyer","orcid":"0009-0003-4899-0920","full_name":"Meyer, Maximilian Tim","id":"77895","first_name":"Maximilian Tim"},{"orcid":"0000-0002-4855-071X","last_name":"Schindlmayr","id":"458","full_name":"Schindlmayr, Arno","first_name":"Arno"}],"intvolume":" 57","citation":{"ama":"Meyer MT, Schindlmayr A. Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator. Journal of Physics B: Atomic, Molecular and Optical Physics. 2024;57(9). doi:10.1088/1361-6455/ad369c","ieee":"M. T. Meyer and A. Schindlmayr, “Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 57, no. 9, Art. no. 095001, 2024, doi: 10.1088/1361-6455/ad369c.","chicago":"Meyer, Maximilian Tim, and Arno Schindlmayr. “Derivation of Miller’s Rule for the Nonlinear Optical Susceptibility of a Quantum Anharmonic Oscillator.” Journal of Physics B: Atomic, Molecular and Optical Physics 57, no. 9 (2024). https://doi.org/10.1088/1361-6455/ad369c.","apa":"Meyer, M. T., & Schindlmayr, A. (2024). Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator. Journal of Physics B: Atomic, Molecular and Optical Physics, 57(9), Article 095001. https://doi.org/10.1088/1361-6455/ad369c","mla":"Meyer, Maximilian Tim, and Arno Schindlmayr. “Derivation of Miller’s Rule for the Nonlinear Optical Susceptibility of a Quantum Anharmonic Oscillator.” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 57, no. 9, 095001, IOP Publishing, 2024, doi:10.1088/1361-6455/ad369c.","short":"M.T. Meyer, A. Schindlmayr, Journal of Physics B: Atomic, Molecular and Optical Physics 57 (2024).","bibtex":"@article{Meyer_Schindlmayr_2024, title={Derivation of Miller’s rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator}, volume={57}, DOI={10.1088/1361-6455/ad369c}, number={9095001}, journal={Journal of Physics B: Atomic, Molecular and Optical Physics}, publisher={IOP Publishing}, author={Meyer, Maximilian Tim and Schindlmayr, Arno}, year={2024} }"},"has_accepted_license":"1","publication_identifier":{"issn":["0953-4075"],"eissn":["1361-6455"]},"publication_status":"published","article_type":"original","article_number":"095001","isi":"1","file_date_updated":"2024-04-04T09:24:22Z","_id":"52723","department":[{"_id":"296"},{"_id":"230"},{"_id":"15"},{"_id":"170"},{"_id":"35"}],"user_id":"458","status":"public","type":"journal_article","title":"Derivation of Miller's rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator","publisher":"IOP Publishing","date_created":"2024-03-22T08:44:39Z","year":"2024","quality_controlled":"1","issue":"9","ddc":["530"],"language":[{"iso":"eng"}],"external_id":{"isi":["001196678300001"]},"abstract":[{"lang":"eng","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."}],"file":[{"creator":"schindlm","date_created":"2024-04-04T09:24:22Z","date_updated":"2024-04-04T09:24:22Z","file_id":"53204","access_level":"open_access","file_name":"Meyer_2024_J._Phys._B _At._Mol._Opt._Phys._57_095001.pdf","title":"Derivation of Miller's rule for the nonlinear optical susceptibility of a quantum anharmonic oscillator","file_size":358155,"description":"Creative Commons Attribution 4.0 International Public License (CC BY 4.0)","content_type":"application/pdf","relation":"main_file"}],"publication":"Journal of Physics B: Atomic, Molecular and Optical Physics"}]