[{"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>This note is concerned with two families of operators related to the fractional Laplacian, the first arising from the Caffarelli-Silvestre extension problem and the second from the fractional heat equation. They both include the Poisson semigroup. We show that on a complete, connected, and non-compact Riemannian manifold of non-negative Ricci curvature, in both cases, the solution with <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> initial data behaves asymptotically as the mass times the fundamental solution. Similar long-time convergence results remain valid on more general manifolds satisfying the Li-Yau two-sided estimate of the heat kernel. The situation changes drastically on hyperbolic space, and more generally on rank one non-compact symmetric spaces: we show that for the Poisson semigroup, the convergence to the Poisson kernel fails -but remains true under the additional assumption of radial initial data.</jats:p>","lang":"eng"}],"publication":"Potential Analysis","citation":{"chicago":"Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential Analysis</i>, 2023. <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">https://doi.org/10.1007/s11118-023-10109-1</a>.","short":"E. Papageorgiou, Potential Analysis (2023).","ieee":"E. Papageorgiou, “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds,” <i>Potential Analysis</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>.","apa":"Papageorgiou, E. (2023). Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>. <a href=\"https://doi.org/10.1007/s11118-023-10109-1\">https://doi.org/10.1007/s11118-023-10109-1</a>","bibtex":"@article{Papageorgiou_2023, title={Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds}, DOI={<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","ama":"Papageorgiou E. Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. <i>Potential Analysis</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>","mla":"Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds.” <i>Potential Analysis</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s11118-023-10109-1\">10.1007/s11118-023-10109-1</a>."},"keyword":["Analysis"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2024-04-17T13:17:37Z","publication_status":"published","date_updated":"2026-07-03T12:37:31Z","status":"public","year":"2023","title":"Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds","publication_identifier":{"issn":["0926-2601","1572-929X"]},"author":[{"full_name":"Papageorgiou, Efthymia","first_name":"Efthymia","last_name":"Papageorgiou","id":"100325"}],"user_id":"100325","doi":"10.1007/s11118-023-10109-1","_id":"53540","publisher":"Springer Science and Business Media LLC","language":[{"iso":"eng"}]},{"page":"10:1–10:22","_id":"66264","publisher":"Schloss Dagstuhl – Leibniz-Zentrum für Informatik","series_title":"Leibniz International Proceedings in Informatics (LIPIcs)","doi":"10.4230/LIPIcs.ECRTS.2023.10","user_id":"128464","editor":[{"last_name":"Papadopoulos","first_name":"Alessandro V.","full_name":"Papadopoulos, Alessandro V."}],"volume":262,"title":"On the Equivalence of Maximum Reaction Time and Maximum Data Age for Cause-Effect Chains","status":"public","year":"2023","publication_identifier":{"isbn":["978-3-95977-280-8"],"issn":["1868-8969"]},"author":[{"full_name":"Günzel, Mario","first_name":"Mario","last_name":"Günzel"},{"full_name":"Teper, Harun","last_name":"Teper","first_name":"Harun"},{"first_name":"Kuan-Hsun","last_name":"Chen","full_name":"Chen, Kuan-Hsun"},{"full_name":"von der Brüggen, Georg","first_name":"Georg","last_name":"von der Brüggen"},{"first_name":"Jian-Jia","last_name":"Chen","full_name":"Chen, Jian-Jia"}],"date_updated":"2026-07-05T14:42:56Z","intvolume":"       262","place":"Dagstuhl, Germany","date_created":"2026-07-05T14:40:09Z","type":"conference","publication":"35th Euromicro Conference on Real-Time Systems (ECRTS 2023)","citation":{"ieee":"M. Günzel, H. Teper, K.-H. Chen, G. von der Brüggen, and J.-J. Chen, “On the Equivalence of Maximum Reaction Time and Maximum Data Age for Cause-Effect Chains,” in <i>35th Euromicro Conference on Real-Time Systems (ECRTS 2023)</i>, 2023, vol. 262, p. 10:1–10:22, doi: <a href=\"https://doi.org/10.4230/LIPIcs.ECRTS.2023.10\">10.4230/LIPIcs.ECRTS.2023.10</a>.","apa":"Günzel, M., Teper, H., Chen, K.-H., von der Brüggen, G., &#38; Chen, J.-J. (2023). On the Equivalence of Maximum Reaction Time and Maximum Data Age for Cause-Effect Chains. In A. V. Papadopoulos (Ed.), <i>35th Euromicro Conference on Real-Time Systems (ECRTS 2023)</i> (Vol. 262, p. 10:1–10:22). Schloss Dagstuhl – Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.ECRTS.2023.10\">https://doi.org/10.4230/LIPIcs.ECRTS.2023.10</a>","chicago":"Günzel, Mario, Harun Teper, Kuan-Hsun Chen, Georg von der Brüggen, and Jian-Jia Chen. “On the Equivalence of Maximum Reaction Time and Maximum Data Age for Cause-Effect Chains.” In <i>35th Euromicro Conference on Real-Time Systems (ECRTS 2023)</i>, edited by Alessandro V. Papadopoulos, 262:10:1–10:22. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2023. <a href=\"https://doi.org/10.4230/LIPIcs.ECRTS.2023.10\">https://doi.org/10.4230/LIPIcs.ECRTS.2023.10</a>.","short":"M. Günzel, H. Teper, K.-H. Chen, G. von der Brüggen, J.-J. Chen, in: A.V. Papadopoulos (Ed.), 35th Euromicro Conference on Real-Time Systems (ECRTS 2023), Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2023, p. 10:1–10:22.","mla":"Günzel, Mario, et al. “On the Equivalence of Maximum Reaction Time and Maximum Data Age for Cause-Effect Chains.” <i>35th Euromicro Conference on Real-Time Systems (ECRTS 2023)</i>, edited by Alessandro V. Papadopoulos, vol. 262, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2023, p. 10:1–10:22, doi:<a href=\"https://doi.org/10.4230/LIPIcs.ECRTS.2023.10\">10.4230/LIPIcs.ECRTS.2023.10</a>.","bibtex":"@inproceedings{Günzel_Teper_Chen_von der Brüggen_Chen_2023, place={Dagstuhl, Germany}, series={Leibniz International Proceedings in Informatics (LIPIcs)}, title={On the Equivalence of Maximum Reaction Time and Maximum Data Age for Cause-Effect Chains}, volume={262}, DOI={<a href=\"https://doi.org/10.4230/LIPIcs.ECRTS.2023.10\">10.4230/LIPIcs.ECRTS.2023.10</a>}, booktitle={35th Euromicro Conference on Real-Time Systems (ECRTS 2023)}, publisher={Schloss Dagstuhl – Leibniz-Zentrum für Informatik}, author={Günzel, Mario and Teper, Harun and Chen, Kuan-Hsun and von der Brüggen, Georg and Chen, Jian-Jia}, editor={Papadopoulos, Alessandro V.}, year={2023}, pages={10:1–10:22}, collection={Leibniz International Proceedings in Informatics (LIPIcs)} }","ama":"Günzel M, Teper H, Chen K-H, von der Brüggen G, Chen J-J. On the Equivalence of Maximum Reaction Time and Maximum Data Age for Cause-Effect Chains. In: Papadopoulos AV, ed. <i>35th Euromicro Conference on Real-Time Systems (ECRTS 2023)</i>. Vol 262. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl – Leibniz-Zentrum für Informatik; 2023:10:1–10:22. doi:<a href=\"https://doi.org/10.4230/LIPIcs.ECRTS.2023.10\">10.4230/LIPIcs.ECRTS.2023.10</a>"}},{"citation":{"mla":"Hakert, Christian, et al. “Immediate Split Trees: Immediate Encoding of Floating Point Split Values in Random Forests.” <i>Lecture Notes in Computer Science</i>, Springer Nature Switzerland, 2023, doi:<a href=\"https://doi.org/10.1007/978-3-031-26419-1_32\">10.1007/978-3-031-26419-1_32</a>.","bibtex":"@inbook{Hakert_Chen_Chen_2023, place={Cham}, title={Immediate Split Trees: Immediate Encoding of Floating Point Split Values in Random Forests}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-26419-1_32\">10.1007/978-3-031-26419-1_32</a>}, booktitle={Lecture Notes in Computer Science}, publisher={Springer Nature Switzerland}, author={Hakert, Christian and Chen, Kuan-Hsun and Chen, Jian-Jia}, year={2023} }","ama":"Hakert C, Chen K-H, Chen J-J. Immediate Split Trees: Immediate Encoding of Floating Point Split Values in Random Forests. In: <i>Lecture Notes in Computer Science</i>. Springer Nature Switzerland; 2023. doi:<a href=\"https://doi.org/10.1007/978-3-031-26419-1_32\">10.1007/978-3-031-26419-1_32</a>","ieee":"C. Hakert, K.-H. Chen, and J.-J. Chen, “Immediate Split Trees: Immediate Encoding of Floating Point Split Values in Random Forests,” in <i>Lecture Notes in Computer Science</i>, Cham: Springer Nature Switzerland, 2023.","apa":"Hakert, C., Chen, K.-H., &#38; Chen, J.-J. (2023). Immediate Split Trees: Immediate Encoding of Floating Point Split Values in Random Forests. In <i>Lecture Notes in Computer Science</i>. Springer Nature Switzerland. <a href=\"https://doi.org/10.1007/978-3-031-26419-1_32\">https://doi.org/10.1007/978-3-031-26419-1_32</a>","short":"C. Hakert, K.-H. Chen, J.-J. Chen, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2023.","chicago":"Hakert, Christian, Kuan-Hsun Chen, and Jian-Jia Chen. “Immediate Split Trees: Immediate Encoding of Floating Point Split Values in Random Forests.” In <i>Lecture Notes in Computer Science</i>. Cham: Springer Nature Switzerland, 2023. <a href=\"https://doi.org/10.1007/978-3-031-26419-1_32\">https://doi.org/10.1007/978-3-031-26419-1_32</a>."},"publication":"Lecture Notes in Computer Science","type":"book_chapter","place":"Cham","date_created":"2026-07-03T21:18:28Z","date_updated":"2026-07-05T14:45:48Z","publication_status":"published","author":[{"full_name":"Hakert, Christian","last_name":"Hakert","first_name":"Christian"},{"last_name":"Chen","first_name":"Kuan-Hsun","full_name":"Chen, Kuan-Hsun"},{"first_name":"Jian-Jia","last_name":"Chen","full_name":"Chen, Jian-Jia"}],"publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783031264184","9783031264191"]},"status":"public","title":"Immediate Split Trees: Immediate Encoding of Floating Point Split Values in Random Forests","year":"2023","doi":"10.1007/978-3-031-26419-1_32","user_id":"128464","language":[{"iso":"eng"}],"_id":"66208","publisher":"Springer Nature Switzerland"},{"publication":"Workshop Proceedings of the 51st International Conference on Parallel Processing","citation":{"chicago":"Liang, Geng-Ming, Chuan-Yue Yuan, Meng-Shiun Yu, Tai-Liang Chen, Kuan-Hsun Chen, and Jenq-Kuen Lee. “The Support of MLIR HLS Adaptor for LLVM IR.” In <i>Workshop Proceedings of the 51st International Conference on Parallel Processing</i>. ACM, 2023. <a href=\"https://doi.org/10.1145/3547276.3548515\">https://doi.org/10.1145/3547276.3548515</a>.","short":"G.-M. Liang, C.-Y. Yuan, M.-S. Yu, T.-L. Chen, K.-H. Chen, J.-K. Lee, in: Workshop Proceedings of the 51st International Conference on Parallel Processing, ACM, 2023.","ieee":"G.-M. Liang, C.-Y. Yuan, M.-S. Yu, T.-L. Chen, K.-H. Chen, and J.-K. Lee, “The Support of MLIR HLS Adaptor for LLVM IR,” 2023, doi: <a href=\"https://doi.org/10.1145/3547276.3548515\">10.1145/3547276.3548515</a>.","apa":"Liang, G.-M., Yuan, C.-Y., Yu, M.-S., Chen, T.-L., Chen, K.-H., &#38; Lee, J.-K. (2023). The Support of MLIR HLS Adaptor for LLVM IR. <i>Workshop Proceedings of the 51st International Conference on Parallel Processing</i>. <a href=\"https://doi.org/10.1145/3547276.3548515\">https://doi.org/10.1145/3547276.3548515</a>","bibtex":"@inproceedings{Liang_Yuan_Yu_Chen_Chen_Lee_2023, title={The Support of MLIR HLS Adaptor for LLVM IR}, DOI={<a href=\"https://doi.org/10.1145/3547276.3548515\">10.1145/3547276.3548515</a>}, booktitle={Workshop Proceedings of the 51st International Conference on Parallel Processing}, publisher={ACM}, author={Liang, Geng-Ming and Yuan, Chuan-Yue and Yu, Meng-Shiun and Chen, Tai-Liang and Chen, Kuan-Hsun and Lee, Jenq-Kuen}, year={2023} }","ama":"Liang G-M, Yuan C-Y, Yu M-S, Chen T-L, Chen K-H, Lee J-K. The Support of MLIR HLS Adaptor for LLVM IR. In: <i>Workshop Proceedings of the 51st International Conference on Parallel Processing</i>. ACM; 2023. doi:<a href=\"https://doi.org/10.1145/3547276.3548515\">10.1145/3547276.3548515</a>","mla":"Liang, Geng-Ming, et al. “The Support of MLIR HLS Adaptor for LLVM IR.” <i>Workshop Proceedings of the 51st International Conference on Parallel Processing</i>, ACM, 2023, doi:<a href=\"https://doi.org/10.1145/3547276.3548515\">10.1145/3547276.3548515</a>."},"date_created":"2026-07-03T21:18:16Z","type":"conference","status":"public","year":"2023","title":"The Support of MLIR HLS Adaptor for LLVM IR","author":[{"full_name":"Liang, Geng-Ming","last_name":"Liang","first_name":"Geng-Ming"},{"first_name":"Chuan-Yue","last_name":"Yuan","full_name":"Yuan, Chuan-Yue"},{"last_name":"Yu","first_name":"Meng-Shiun","full_name":"Yu, Meng-Shiun"},{"full_name":"Chen, Tai-Liang","first_name":"Tai-Liang","last_name":"Chen"},{"first_name":"Kuan-Hsun","last_name":"Chen","full_name":"Chen, Kuan-Hsun"},{"last_name":"Lee","first_name":"Jenq-Kuen","full_name":"Lee, Jenq-Kuen"}],"publication_status":"published","date_updated":"2026-07-05T14:45:45Z","_id":"66207","publisher":"ACM","user_id":"128464","doi":"10.1145/3547276.3548515"},{"date_created":"2026-07-03T21:14:05Z","type":"journal_article","publication":"ACM Transactions on Embedded Computing Systems","issue":"4","abstract":[{"text":"<jats:p>Real-time systems require the formal guarantee of timing constraints, not only for the individual tasks but also for the end-to-end latency of data flows. The data flow among multiple tasks, e.g., from sensors to actuators, is described by a cause-effect chain, independent from the priority order of the tasks. In this article, we provide an end-to-end timing-analysis for cause-effect chains on asynchronized distributed systems with periodic task activations, considering the maximum reaction time (MRT) (i.e., the duration of data processing) and the maximum data age (MDA) (i.e., the worst-case data freshness). We first provide an analysis of the end-to-end latency on one local electronic control unit (ECU) that has to consider only the jobs in a bounded time interval. We extend our analysis to globally asynchronized systems by exploiting a compositional property to combine the local results. Throughout synthesized data based on an automotive benchmark as well as on randomized parameters, we show that our analytical results improve the state-of-the-art.</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1145/3587036","publication_identifier":{"issn":["1539-9087","1558-3465"]},"author":[{"full_name":"Günzel, Mario","last_name":"Günzel","first_name":"Mario"},{"first_name":"Kuan-Hsun","last_name":"Chen","full_name":"Chen, Kuan-Hsun"},{"full_name":"Ueter, Niklas","last_name":"Ueter","first_name":"Niklas"},{"first_name":"Georg von der","last_name":"Brüggen","full_name":"Brüggen, Georg von der"},{"full_name":"Dürr, Marco","first_name":"Marco","last_name":"Dürr"},{"full_name":"Chen, Jian-Jia","first_name":"Jian-Jia","last_name":"Chen"}],"title":"Compositional Timing Analysis of Asynchronized Distributed Cause-effect Chains","year":"2023","intvolume":"        22","publication_status":"published","date_updated":"2026-07-05T14:46:55Z","citation":{"short":"M. Günzel, K.-H. Chen, N. Ueter, G. von der Brüggen, M. Dürr, J.-J. Chen, ACM Transactions on Embedded Computing Systems 22 (2023) 1–34.","chicago":"Günzel, Mario, Kuan-Hsun Chen, Niklas Ueter, Georg von der Brüggen, Marco Dürr, and Jian-Jia Chen. “Compositional Timing Analysis of Asynchronized Distributed Cause-Effect Chains.” <i>ACM Transactions on Embedded Computing Systems</i> 22, no. 4 (2023): 1–34. <a href=\"https://doi.org/10.1145/3587036\">https://doi.org/10.1145/3587036</a>.","ieee":"M. Günzel, K.-H. Chen, N. Ueter, G. von der Brüggen, M. Dürr, and J.-J. Chen, “Compositional Timing Analysis of Asynchronized Distributed Cause-effect Chains,” <i>ACM Transactions on Embedded Computing Systems</i>, vol. 22, no. 4, pp. 1–34, 2023, doi: <a href=\"https://doi.org/10.1145/3587036\">10.1145/3587036</a>.","apa":"Günzel, M., Chen, K.-H., Ueter, N., Brüggen, G. von der, Dürr, M., &#38; Chen, J.-J. (2023). Compositional Timing Analysis of Asynchronized Distributed Cause-effect Chains. <i>ACM Transactions on Embedded Computing Systems</i>, <i>22</i>(4), 1–34. <a href=\"https://doi.org/10.1145/3587036\">https://doi.org/10.1145/3587036</a>","bibtex":"@article{Günzel_Chen_Ueter_Brüggen_Dürr_Chen_2023, title={Compositional Timing Analysis of Asynchronized Distributed Cause-effect Chains}, volume={22}, DOI={<a href=\"https://doi.org/10.1145/3587036\">10.1145/3587036</a>}, number={4}, journal={ACM Transactions on Embedded Computing Systems}, publisher={Association for Computing Machinery (ACM)}, author={Günzel, Mario and Chen, Kuan-Hsun and Ueter, Niklas and Brüggen, Georg von der and Dürr, Marco and Chen, Jian-Jia}, year={2023}, pages={1–34} }","ama":"Günzel M, Chen K-H, Ueter N, Brüggen G von der, Dürr M, Chen J-J. Compositional Timing Analysis of Asynchronized Distributed Cause-effect Chains. <i>ACM Transactions on Embedded Computing Systems</i>. 2023;22(4):1-34. doi:<a href=\"https://doi.org/10.1145/3587036\">10.1145/3587036</a>","mla":"Günzel, Mario, et al. “Compositional Timing Analysis of Asynchronized Distributed Cause-Effect Chains.” <i>ACM Transactions on Embedded Computing Systems</i>, vol. 22, no. 4, Association for Computing Machinery (ACM), 2023, pp. 1–34, doi:<a href=\"https://doi.org/10.1145/3587036\">10.1145/3587036</a>."},"_id":"66182","publisher":"Association for Computing Machinery (ACM)","page":"1-34","volume":22,"user_id":"128464","status":"public"},{"user_id":"128464","doi":"10.1109/nvmsa58981.2023.00012","publisher":"IEEE","_id":"66191","publication_status":"published","date_updated":"2026-07-05T14:46:50Z","author":[{"last_name":"Hölscher","first_name":"Nils","full_name":"Hölscher, Nils"},{"first_name":"Minh Duy","last_name":"Truong","full_name":"Truong, Minh Duy"},{"first_name":"Christian","last_name":"Hakert","full_name":"Hakert, Christian"},{"full_name":"Seidl, Tristan","first_name":"Tristan","last_name":"Seidl"},{"last_name":"Chen","first_name":"Kuan-Hsun","full_name":"Chen, Kuan-Hsun"},{"first_name":"Jian-Jia","last_name":"Chen","full_name":"Chen, Jian-Jia"}],"status":"public","year":"2023","title":"Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain","type":"conference","date_created":"2026-07-03T21:15:40Z","citation":{"ieee":"N. Hölscher, M. D. Truong, C. Hakert, T. Seidl, K.-H. Chen, and J.-J. Chen, “Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain,” 2023, doi: <a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>.","apa":"Hölscher, N., Truong, M. D., Hakert, C., Seidl, T., Chen, K.-H., &#38; Chen, J.-J. (2023). Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain. <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>. <a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">https://doi.org/10.1109/nvmsa58981.2023.00012</a>","chicago":"Hölscher, Nils, Minh Duy Truong, Christian Hakert, Tristan Seidl, Kuan-Hsun Chen, and Jian-Jia Chen. “Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain.” In <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">https://doi.org/10.1109/nvmsa58981.2023.00012</a>.","short":"N. Hölscher, M.D. Truong, C. Hakert, T. Seidl, K.-H. Chen, J.-J. Chen, in: 2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA), IEEE, 2023.","mla":"Hölscher, Nils, et al. “Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain.” <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>.","bibtex":"@inproceedings{Hölscher_Truong_Hakert_Seidl_Chen_Chen_2023, title={Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain}, DOI={<a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>}, booktitle={2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)}, publisher={IEEE}, author={Hölscher, Nils and Truong, Minh Duy and Hakert, Christian and Seidl, Tristan and Chen, Kuan-Hsun and Chen, Jian-Jia}, year={2023} }","ama":"Hölscher N, Truong MD, Hakert C, Seidl T, Chen K-H, Chen J-J. Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain. In: <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>"},"publication":"2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)"},{"citation":{"mla":"Lin, Ching-Chi, et al. “Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies.” <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>.","bibtex":"@inproceedings{Lin_Günzel_Shi_Seidl_Chen_Chen_2023, title={Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies}, DOI={<a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>}, booktitle={2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)}, publisher={IEEE}, author={Lin, Ching-Chi and Günzel, Mario and Shi, Junjie and Seidl, Tristan Taylan and Chen, Kuan-Hsun and Chen, Jian-Jia}, year={2023} }","ama":"Lin C-C, Günzel M, Shi J, Seidl TT, Chen K-H, Chen J-J. Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies. In: <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>","ieee":"C.-C. Lin, M. Günzel, J. Shi, T. T. Seidl, K.-H. Chen, and J.-J. Chen, “Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies,” 2023, doi: <a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>.","apa":"Lin, C.-C., Günzel, M., Shi, J., Seidl, T. T., Chen, K.-H., &#38; Chen, J.-J. (2023). Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies. <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. <a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">https://doi.org/10.1109/rtas58335.2023.00020</a>","short":"C.-C. Lin, M. Günzel, J. Shi, T.T. Seidl, K.-H. Chen, J.-J. Chen, in: 2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS), IEEE, 2023.","chicago":"Lin, Ching-Chi, Mario Günzel, Junjie Shi, Tristan Taylan Seidl, Kuan-Hsun Chen, and Jian-Jia Chen. “Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies.” In <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">https://doi.org/10.1109/rtas58335.2023.00020</a>."},"publication":"2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)","type":"conference","date_created":"2026-07-03T21:16:12Z","date_updated":"2026-07-05T14:46:53Z","publication_status":"published","author":[{"last_name":"Lin","first_name":"Ching-Chi","full_name":"Lin, Ching-Chi"},{"last_name":"Günzel","first_name":"Mario","full_name":"Günzel, Mario"},{"last_name":"Shi","first_name":"Junjie","full_name":"Shi, Junjie"},{"full_name":"Seidl, Tristan Taylan","first_name":"Tristan Taylan","last_name":"Seidl"},{"full_name":"Chen, Kuan-Hsun","last_name":"Chen","first_name":"Kuan-Hsun"},{"last_name":"Chen","first_name":"Jian-Jia","full_name":"Chen, Jian-Jia"}],"year":"2023","title":"Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies","status":"public","doi":"10.1109/rtas58335.2023.00020","user_id":"128464","_id":"66194","publisher":"IEEE"},{"user_id":"128464","doi":"10.1109/rtas58335.2023.00008","publisher":"IEEE","_id":"66192","publication_status":"published","date_updated":"2026-07-05T14:46:48Z","author":[{"first_name":"Junjie","last_name":"Shi","full_name":"Shi, Junjie"},{"full_name":"Ueter, Niklas","first_name":"Niklas","last_name":"Ueter"},{"full_name":"Chen, Jian-Jia","first_name":"Jian-Jia","last_name":"Chen"},{"full_name":"Chen, Kuan-Hsun","first_name":"Kuan-Hsun","last_name":"Chen"}],"status":"public","year":"2023","title":"Average Task Execution Time Minimization under (m, k) Soft Error Constraint","type":"conference","date_created":"2026-07-03T21:15:51Z","citation":{"short":"J. Shi, N. Ueter, J.-J. Chen, K.-H. Chen, in: 2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS), IEEE, 2023.","chicago":"Shi, Junjie, Niklas Ueter, Jian-Jia Chen, and Kuan-Hsun Chen. “Average Task Execution Time Minimization under (m, k) Soft Error Constraint.” In <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/rtas58335.2023.00008\">https://doi.org/10.1109/rtas58335.2023.00008</a>.","apa":"Shi, J., Ueter, N., Chen, J.-J., &#38; Chen, K.-H. (2023). Average Task Execution Time Minimization under (m, k) Soft Error Constraint. <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. <a href=\"https://doi.org/10.1109/rtas58335.2023.00008\">https://doi.org/10.1109/rtas58335.2023.00008</a>","ieee":"J. Shi, N. Ueter, J.-J. Chen, and K.-H. Chen, “Average Task Execution Time Minimization under (m, k) Soft Error Constraint,” 2023, doi: <a href=\"https://doi.org/10.1109/rtas58335.2023.00008\">10.1109/rtas58335.2023.00008</a>.","ama":"Shi J, Ueter N, Chen J-J, Chen K-H. Average Task Execution Time Minimization under (m, k) Soft Error Constraint. In: <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/rtas58335.2023.00008\">10.1109/rtas58335.2023.00008</a>","bibtex":"@inproceedings{Shi_Ueter_Chen_Chen_2023, title={Average Task Execution Time Minimization under (m, k) Soft Error Constraint}, DOI={<a href=\"https://doi.org/10.1109/rtas58335.2023.00008\">10.1109/rtas58335.2023.00008</a>}, booktitle={2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)}, publisher={IEEE}, author={Shi, Junjie and Ueter, Niklas and Chen, Jian-Jia and Chen, Kuan-Hsun}, year={2023} }","mla":"Shi, Junjie, et al. “Average Task Execution Time Minimization under (m, k) Soft Error Constraint.” <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/rtas58335.2023.00008\">10.1109/rtas58335.2023.00008</a>."},"publication":"2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)"},{"type":"conference","date_created":"2026-07-03T21:16:33Z","publication":"The 31st International Conference on Real-Time Networks and Systems","citation":{"ama":"Guenzel M, Ueter N, Chen K-H, Chen J-J. Timing Analysis of Cause-Effect Chains with Heterogeneous Communication Mechanisms. In: <i>The 31st International Conference on Real-Time Networks and Systems</i>. ACM; 2023. doi:<a href=\"https://doi.org/10.1145/3575757.3593640\">10.1145/3575757.3593640</a>","bibtex":"@inproceedings{Guenzel_Ueter_Chen_Chen_2023, title={Timing Analysis of Cause-Effect Chains with Heterogeneous Communication Mechanisms}, DOI={<a href=\"https://doi.org/10.1145/3575757.3593640\">10.1145/3575757.3593640</a>}, booktitle={The 31st International Conference on Real-Time Networks and Systems}, publisher={ACM}, author={Guenzel, Mario and Ueter, Niklas and Chen, Kuan-Hsun and Chen, Jian-Jia}, year={2023} }","mla":"Guenzel, Mario, et al. “Timing Analysis of Cause-Effect Chains with Heterogeneous Communication Mechanisms.” <i>The 31st International Conference on Real-Time Networks and Systems</i>, ACM, 2023, doi:<a href=\"https://doi.org/10.1145/3575757.3593640\">10.1145/3575757.3593640</a>.","chicago":"Guenzel, Mario, Niklas Ueter, Kuan-Hsun Chen, and Jian-Jia Chen. “Timing Analysis of Cause-Effect Chains with Heterogeneous Communication Mechanisms.” In <i>The 31st International Conference on Real-Time Networks and Systems</i>. ACM, 2023. <a href=\"https://doi.org/10.1145/3575757.3593640\">https://doi.org/10.1145/3575757.3593640</a>.","short":"M. Guenzel, N. Ueter, K.-H. Chen, J.-J. Chen, in: The 31st International Conference on Real-Time Networks and Systems, ACM, 2023.","apa":"Guenzel, M., Ueter, N., Chen, K.-H., &#38; Chen, J.-J. (2023). Timing Analysis of Cause-Effect Chains with Heterogeneous Communication Mechanisms. <i>The 31st International Conference on Real-Time Networks and Systems</i>. <a href=\"https://doi.org/10.1145/3575757.3593640\">https://doi.org/10.1145/3575757.3593640</a>","ieee":"M. Guenzel, N. Ueter, K.-H. Chen, and J.-J. Chen, “Timing Analysis of Cause-Effect Chains with Heterogeneous Communication Mechanisms,” 2023, doi: <a href=\"https://doi.org/10.1145/3575757.3593640\">10.1145/3575757.3593640</a>."},"user_id":"128464","doi":"10.1145/3575757.3593640","publisher":"ACM","_id":"66197","publication_status":"published","date_updated":"2026-07-05T14:46:46Z","year":"2023","status":"public","title":"Timing Analysis of Cause-Effect Chains with Heterogeneous Communication Mechanisms","author":[{"last_name":"Guenzel","first_name":"Mario","full_name":"Guenzel, Mario"},{"first_name":"Niklas","last_name":"Ueter","full_name":"Ueter, Niklas"},{"last_name":"Chen","first_name":"Kuan-Hsun","full_name":"Chen, Kuan-Hsun"},{"full_name":"Chen, Jian-Jia","first_name":"Jian-Jia","last_name":"Chen"}]},{"publication":"arXiv:2303.03734","citation":{"ama":"Bolognese B, Küronya A, Ulirsch M. $P=W$ phenomena on abelian varieties. <i>arXiv:230303734</i>. Published online 2023.","bibtex":"@article{Bolognese_Küronya_Ulirsch_2023, title={$P=W$ phenomena on abelian varieties}, journal={arXiv:2303.03734}, author={Bolognese, Barbara and Küronya, Alex and Ulirsch, Martin}, year={2023} }","mla":"Bolognese, Barbara, et al. “$P=W$ Phenomena on Abelian Varieties.” <i>ArXiv:2303.03734</i>, 2023.","chicago":"Bolognese, Barbara, Alex Küronya, and Martin Ulirsch. “$P=W$ Phenomena on Abelian Varieties.” <i>ArXiv:2303.03734</i>, 2023.","short":"B. Bolognese, A. Küronya, M. Ulirsch, ArXiv:2303.03734 (2023).","apa":"Bolognese, B., Küronya, A., &#38; Ulirsch, M. (2023). $P=W$ phenomena on abelian varieties. In <i>arXiv:2303.03734</i>.","ieee":"B. Bolognese, A. Küronya, and M. Ulirsch, “$P=W$ phenomena on abelian varieties,” <i>arXiv:2303.03734</i>. 2023."},"abstract":[{"lang":"eng","text":"Let $X$ be a complex abelian variety. We prove an analogue of both the (cohomological) $P=W$ conjecture and the geometric $P=W$ conjecture connecting the finer topological structure of the Dolbeault moduli space of topologically trivial semistable Higgs bundles on $X$ and the Betti moduli space of characters of the fundamental group of $X$. The geometric heart of our approach is the spectral data morphism for Dolbeault moduli spaces on abelian varieties that naturally factors the Hitchin morphism and whose target is not an affine space of pluricanonical sections, but a suitable symmetric product."}],"external_id":{"arxiv":["2303.03734"]},"date_created":"2026-07-08T06:32:00Z","type":"preprint","year":"2023","status":"public","title":"$P=W$ phenomena on abelian varieties","author":[{"first_name":"Barbara","last_name":"Bolognese","full_name":"Bolognese, Barbara"},{"first_name":"Alex","last_name":"Küronya","full_name":"Küronya, Alex"},{"first_name":"Martin","last_name":"Ulirsch","full_name":"Ulirsch, Martin","id":"114697"}],"date_updated":"2026-07-08T06:32:25Z","_id":"66312","language":[{"iso":"eng"}],"user_id":"82981"},{"type":"journal_article","date_created":"2026-07-08T06:50:59Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Let<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0305004123000518_inline1.png\"/><jats:tex-math>$\\mathfrak{A}$</jats:tex-math></jats:alternatives></jats:inline-formula>be a finite abelian group. In this paper, we classify harmonic<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0305004123000518_inline2.png\"/><jats:tex-math>$\\mathfrak{A}$</jats:tex-math></jats:alternatives></jats:inline-formula>-covers of a tropical curve<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0305004123000518_inline3.png\"/><jats:tex-math>$\\Gamma$</jats:tex-math></jats:alternatives></jats:inline-formula>(which allow dilation along edges and at vertices) in terms of the cohomology group of a suitably defined sheaf on<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0305004123000518_inline4.png\"/><jats:tex-math>$\\Gamma$</jats:tex-math></jats:alternatives></jats:inline-formula>. We give a realisability criterion for harmonic<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0305004123000518_inline5.png\"/><jats:tex-math>$\\mathfrak{A}$</jats:tex-math></jats:alternatives></jats:inline-formula>-covers by patching local monodromy data in an extended homology group on<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0305004123000518_inline6.png\"/><jats:tex-math>$\\Gamma$</jats:tex-math></jats:alternatives></jats:inline-formula>. As an explicit example, we work out the case<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0305004123000518_inline7.png\"/><jats:tex-math>$\\mathfrak{A}=\\mathbb{Z}/p\\mathbb{Z}$</jats:tex-math></jats:alternatives></jats:inline-formula>and explain how realisability for such covers is related to the nowhere-zero flow problem from graph theory.</jats:p>"}],"publication":"Mathematical Proceedings of the Cambridge Philosophical Society","issue":"2","doi":"10.1017/S0305004123000518","language":[{"iso":"eng"}],"date_updated":"2026-07-09T07:11:55Z","publication_status":"published","intvolume":"       176","year":"2023","title":"Abelian tropical covers","author":[{"first_name":"Yoav","last_name":"Len","full_name":"Len, Yoav"},{"id":"114697","last_name":"Ulirsch","first_name":"Martin","full_name":"Ulirsch, Martin"},{"first_name":"Dmitry","last_name":"Zakharov","full_name":"Zakharov, Dmitry"}],"publication_identifier":{"issn":["0305-0041","1469-8064"]},"citation":{"ieee":"Y. Len, M. Ulirsch, and D. Zakharov, “Abelian tropical covers,” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 176, no. 2, pp. 395–416, 2023, doi: <a href=\"https://doi.org/10.1017/S0305004123000518\">10.1017/S0305004123000518</a>.","apa":"Len, Y., Ulirsch, M., &#38; Zakharov, D. (2023). Abelian tropical covers. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, <i>176</i>(2), 395–416. <a href=\"https://doi.org/10.1017/S0305004123000518\">https://doi.org/10.1017/S0305004123000518</a>","chicago":"Len, Yoav, Martin Ulirsch, and Dmitry Zakharov. “Abelian Tropical Covers.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i> 176, no. 2 (2023): 395–416. <a href=\"https://doi.org/10.1017/S0305004123000518\">https://doi.org/10.1017/S0305004123000518</a>.","short":"Y. Len, M. Ulirsch, D. Zakharov, Mathematical Proceedings of the Cambridge Philosophical Society 176 (2023) 395–416.","mla":"Len, Yoav, et al. “Abelian Tropical Covers.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 176, no. 2, Cambridge University Press (CUP), 2023, pp. 395–416, doi:<a href=\"https://doi.org/10.1017/S0305004123000518\">10.1017/S0305004123000518</a>.","bibtex":"@article{Len_Ulirsch_Zakharov_2023, title={Abelian tropical covers}, volume={176}, DOI={<a href=\"https://doi.org/10.1017/S0305004123000518\">10.1017/S0305004123000518</a>}, number={2}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Len, Yoav and Ulirsch, Martin and Zakharov, Dmitry}, year={2023}, pages={395–416} }","ama":"Len Y, Ulirsch M, Zakharov D. Abelian tropical covers. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. 2023;176(2):395-416. doi:<a href=\"https://doi.org/10.1017/S0305004123000518\">10.1017/S0305004123000518</a>"},"user_id":"82981","volume":176,"page":"395-416","_id":"66325","publisher":"Cambridge University Press (CUP)","status":"public"},{"date_updated":"2026-07-09T09:17:43Z","year":"2023","title":"Grammatik in Bewegung. Klammerstrukturen in Sätzen erforschen","status":"public","author":[{"id":"51572","first_name":"Sonja","last_name":"Sperling","full_name":"Sperling, Sonja"}],"publication_date":"2023-10","user_id":"51572","page":"32-34","_id":"65608","language":[{"iso":"ger"}],"publication":"Die Grundschulzeitschrift","issue":"341","citation":{"bibtex":"@article{Sperling_2023, title={Grammatik in Bewegung. Klammerstrukturen in Sätzen erforschen}, number={341}, journal={Die Grundschulzeitschrift}, author={Sperling, Sonja}, year={2023}, pages={32–34} }","ama":"Sperling S. Grammatik in Bewegung. Klammerstrukturen in Sätzen erforschen. <i>Die Grundschulzeitschrift</i>. 2023:32-34.","mla":"Sperling, Sonja. “Grammatik in Bewegung. Klammerstrukturen in Sätzen erforschen.” <i>Die Grundschulzeitschrift</i>, no. 341, 2023, pp. 32–34.","chicago":"Sperling, Sonja. “Grammatik in Bewegung. Klammerstrukturen in Sätzen erforschen.” <i>Die Grundschulzeitschrift</i>, 2023.","short":"S. Sperling, Die Grundschulzeitschrift (2023) 32–34.","ieee":"S. Sperling, “Grammatik in Bewegung. Klammerstrukturen in Sätzen erforschen,” <i>Die Grundschulzeitschrift</i>, no. 341, pp. 32–34, 2023.","apa":"Sperling, S. (2023). Grammatik in Bewegung. Klammerstrukturen in Sätzen erforschen. <i>Die Grundschulzeitschrift</i>, <i>341</i>, 32–34."},"type":"newspaper_article","date_created":"2026-05-12T12:00:08Z"},{"doi":"10.1007/s41808-023-00250-8","user_id":"100325","_id":"53539","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2026-07-03T12:36:17Z","publication_status":"published","title":"Asymptotics for the infinite Brownian loop on noncompact symmetric spaces","year":"2023","status":"public","publication_identifier":{"issn":["2296-9020","2296-9039"]},"author":[{"id":"100325","first_name":"Efthymia","last_name":"Papageorgiou","full_name":"Papageorgiou, Efthymia"}],"type":"journal_article","keyword":["Applied Mathematics","Numerical Analysis","Analysis"],"department":[{"_id":"555"}],"date_created":"2024-04-17T13:16:39Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length <jats:italic>T</jats:italic> around a fixed origin when <jats:inline-formula><jats:alternatives><jats:tex-math>$$T \\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:mrow>\r\n                  <mml:mi>T</mml:mi>\r\n                  <mml:mo>→</mml:mo>\r\n                  <mml:mo>+</mml:mo>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:mrow>\r\n              </mml:math></jats:alternatives></jats:inline-formula>. The aim of this note is to study its long-time asymptotics on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic> of noncompact type and of general rank. This amounts to the behavior of solutions to the heat equation subject to the Doob transform induced by the ground spherical function. Unlike the standard Brownian motion, we observe in this case phenomena which are similar to the Euclidean setting, namely <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mn>1</mml:mn>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> asymptotic convergence without requiring bi-<jats:italic>K</jats:italic>-invariance for initial data, and strong <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^{\\infty }$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                <mml:msup>\r\n                  <mml:mi>L</mml:mi>\r\n                  <mml:mi>∞</mml:mi>\r\n                </mml:msup>\r\n              </mml:math></jats:alternatives></jats:inline-formula> convergence.</jats:p>"}],"publication":"Journal of Elliptic and Parabolic Equations","citation":{"mla":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, Springer Science and Business Media LLC, 2023, doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>.","bibtex":"@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian loop on noncompact symmetric spaces}, DOI={<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }","ama":"Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>","ieee":"E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact symmetric spaces,” <i>Journal of Elliptic and Parabolic Equations</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">10.1007/s41808-023-00250-8</a>.","apa":"Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. <i>Journal of Elliptic and Parabolic Equations</i>. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>","chicago":"Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” <i>Journal of Elliptic and Parabolic Equations</i>, 2023. <a href=\"https://doi.org/10.1007/s41808-023-00250-8\">https://doi.org/10.1007/s41808-023-00250-8</a>.","short":"E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023)."}},{"year":"2023","status":"public","title":"Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies","author":[{"last_name":"Lin","first_name":"Ching-Chi","full_name":"Lin, Ching-Chi"},{"last_name":"Günzel","first_name":"Mario","full_name":"Günzel, Mario"},{"last_name":"Shi","first_name":"Junjie","full_name":"Shi, Junjie"},{"full_name":"Seidl, Tristan Taylan","first_name":"Tristan Taylan","last_name":"Seidl"},{"full_name":"Chen, Kuan-Hsun","first_name":"Kuan-Hsun","last_name":"Chen"},{"first_name":"Jian-Jia","last_name":"Chen","full_name":"Chen, Jian-Jia"}],"date_updated":"2026-07-05T14:46:31Z","publication_status":"published","_id":"66199","publisher":"IEEE","doi":"10.1109/rtas58335.2023.00020","user_id":"128464","publication":"2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)","citation":{"mla":"Lin, Ching-Chi, et al. “Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies.” <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>.","bibtex":"@inproceedings{Lin_Günzel_Shi_Seidl_Chen_Chen_2023, title={Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies}, DOI={<a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>}, booktitle={2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)}, publisher={IEEE}, author={Lin, Ching-Chi and Günzel, Mario and Shi, Junjie and Seidl, Tristan Taylan and Chen, Kuan-Hsun and Chen, Jian-Jia}, year={2023} }","ama":"Lin C-C, Günzel M, Shi J, Seidl TT, Chen K-H, Chen J-J. Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies. In: <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>","ieee":"C.-C. Lin, M. Günzel, J. Shi, T. T. Seidl, K.-H. Chen, and J.-J. Chen, “Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies,” 2023, doi: <a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">10.1109/rtas58335.2023.00020</a>.","apa":"Lin, C.-C., Günzel, M., Shi, J., Seidl, T. T., Chen, K.-H., &#38; Chen, J.-J. (2023). Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies. <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. <a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">https://doi.org/10.1109/rtas58335.2023.00020</a>","short":"C.-C. Lin, M. Günzel, J. Shi, T.T. Seidl, K.-H. Chen, J.-J. Chen, in: 2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS), IEEE, 2023.","chicago":"Lin, Ching-Chi, Mario Günzel, Junjie Shi, Tristan Taylan Seidl, Kuan-Hsun Chen, and Jian-Jia Chen. “Scheduling Periodic Segmented Self-Suspending Tasks without Timing Anomalies.” In <i>2023 IEEE 29th Real-Time and Embedded Technology and Applications Symposium (RTAS)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/rtas58335.2023.00020\">https://doi.org/10.1109/rtas58335.2023.00020</a>."},"date_created":"2026-07-03T21:16:59Z","type":"conference"},{"date_updated":"2026-07-05T14:46:35Z","citation":{"ieee":"“Simulation Environment with Customized RISC-V Instructions for Logic-in-Memory Architectures,” 2023, doi: <a href=\"https://doi.org/10.48550/ARXIV.2303.12128\">10.48550/ARXIV.2303.12128</a>.","apa":"<i>Simulation Environment with Customized RISC-V Instructions for Logic-in-Memory Architectures</i>. (2023). <a href=\"https://doi.org/10.48550/ARXIV.2303.12128\">https://doi.org/10.48550/ARXIV.2303.12128</a>","chicago":"“Simulation Environment with Customized RISC-V Instructions for Logic-in-Memory Architectures,” 2023. <a href=\"https://doi.org/10.48550/ARXIV.2303.12128\">https://doi.org/10.48550/ARXIV.2303.12128</a>.","short":"(2023).","mla":"<i>Simulation Environment with Customized RISC-V Instructions for Logic-in-Memory Architectures</i>. 2023, doi:<a href=\"https://doi.org/10.48550/ARXIV.2303.12128\">10.48550/ARXIV.2303.12128</a>.","bibtex":"@article{Simulation Environment with Customized RISC-V Instructions for Logic-in-Memory Architectures_2023, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2303.12128\">10.48550/ARXIV.2303.12128</a>}, year={2023} }","ama":"Simulation Environment with Customized RISC-V Instructions for Logic-in-Memory Architectures. Published online 2023. doi:<a href=\"https://doi.org/10.48550/ARXIV.2303.12128\">10.48550/ARXIV.2303.12128</a>"},"year":"2023","status":"public","title":"Simulation Environment with Customized RISC-V Instructions for Logic-in-Memory Architectures","doi":"10.48550/ARXIV.2303.12128","user_id":"128464","type":"journal_article","_id":"66198","date_created":"2026-07-03T21:16:49Z"},{"issue":"5s","publication":"ACM Transactions on Embedded Computing Systems","abstract":[{"text":"<jats:p>In many embedded systems, for instance, in the automotive, avionic, or robotics domain, critical functionalities are implemented via chains of communicating recurrent tasks. To ensure safety and correctness of such systems, guarantees on the reaction time, that is, the delay between a cause (e.g., an external activity or reading of a sensor) and the corresponding effect, must be provided.</jats:p>\n          <jats:p>Current approaches focus on the maximum reaction time, considering the worst-case system behavior. However, in many scenarios, probabilistic guarantees on the reaction time are sufficient. That is, it is sufficient to provide a guarantee that the reaction does not exceed a certain threshold with (at least) a certain probability.</jats:p>\n          <jats:p>This work provides such probabilistic guarantees on the reaction time, considering two types of randomness: response time randomness and failure probabilities. To the best of our knowledge, this is the first work that defines and analyzes probabilistic reaction time for cause-effect chains based on sporadic tasks.</jats:p>","lang":"eng"}],"date_created":"2026-07-03T21:14:22Z","type":"journal_article","publication_identifier":{"issn":["1539-9087","1558-3465"]},"author":[{"full_name":"Günzel, Mario","last_name":"Günzel","first_name":"Mario"},{"full_name":"Ueter, Niklas","first_name":"Niklas","last_name":"Ueter"},{"full_name":"Chen, Kuan-Hsun","first_name":"Kuan-Hsun","last_name":"Chen"},{"full_name":"von der Brüggen, Georg","first_name":"Georg","last_name":"von der Brüggen"},{"full_name":"Chen, Jian-Jia","last_name":"Chen","first_name":"Jian-Jia"}],"title":"Probabilistic Reaction Time Analysis","year":"2023","intvolume":"        22","date_updated":"2026-07-05T14:46:59Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1145/3609390","citation":{"short":"M. Günzel, N. Ueter, K.-H. Chen, G. von der Brüggen, J.-J. 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Probabilistic Reaction Time Analysis. <i>ACM Transactions on Embedded Computing Systems</i>, <i>22</i>(5s), 1–22. <a href=\"https://doi.org/10.1145/3609390\">https://doi.org/10.1145/3609390</a>","bibtex":"@article{Günzel_Ueter_Chen_von der Brüggen_Chen_2023, title={Probabilistic Reaction Time Analysis}, volume={22}, DOI={<a href=\"https://doi.org/10.1145/3609390\">10.1145/3609390</a>}, number={5s}, journal={ACM Transactions on Embedded Computing Systems}, publisher={Association for Computing Machinery (ACM)}, author={Günzel, Mario and Ueter, Niklas and Chen, Kuan-Hsun and von der Brüggen, Georg and Chen, Jian-Jia}, year={2023}, pages={1–22} }","ama":"Günzel M, Ueter N, Chen K-H, von der Brüggen G, Chen J-J. 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Chen, ACM Transactions on Embedded Computing Systems 22 (2023) 1–22.","mla":"Günzel, Mario, et al. “Probabilistic Reaction Time Analysis.” <i>ACM Transactions on Embedded Computing Systems</i>, vol. 22, no. 5s, Association for Computing Machinery (ACM), 2023, pp. 1–22, doi:<a href=\"https://doi.org/10.1145/3609390\">10.1145/3609390</a>.","bibtex":"@article{Günzel_Ueter_Chen_von der Brüggen_Chen_2023, title={Probabilistic Reaction Time Analysis}, volume={22}, DOI={<a href=\"https://doi.org/10.1145/3609390\">10.1145/3609390</a>}, number={5s}, journal={ACM Transactions on Embedded Computing Systems}, publisher={Association for Computing Machinery (ACM)}, author={Günzel, Mario and Ueter, Niklas and Chen, Kuan-Hsun and von der Brüggen, Georg and Chen, Jian-Jia}, year={2023}, pages={1–22} }","ama":"Günzel M, Ueter N, Chen K-H, von der Brüggen G, Chen J-J. Probabilistic Reaction Time Analysis. <i>ACM Transactions on Embedded Computing Systems</i>. 2023;22(5s):1-22. doi:<a href=\"https://doi.org/10.1145/3609390\">10.1145/3609390</a>"},"intvolume":"        22","publication_status":"published","date_updated":"2026-07-05T14:47:08Z","publication_identifier":{"issn":["1539-9087","1558-3465"]},"author":[{"last_name":"Günzel","first_name":"Mario","full_name":"Günzel, Mario"},{"first_name":"Niklas","last_name":"Ueter","full_name":"Ueter, Niklas"},{"full_name":"Chen, Kuan-Hsun","first_name":"Kuan-Hsun","last_name":"Chen"},{"last_name":"von der Brüggen","first_name":"Georg","full_name":"von der Brüggen, Georg"},{"full_name":"Chen, Jian-Jia","last_name":"Chen","first_name":"Jian-Jia"}],"title":"Probabilistic Reaction Time Analysis","year":"2023","doi":"10.1145/3609390","language":[{"iso":"eng"}],"abstract":[{"text":"<jats:p>In many embedded systems, for instance, in the automotive, avionic, or robotics domain, critical functionalities are implemented via chains of communicating recurrent tasks. To ensure safety and correctness of such systems, guarantees on the reaction time, that is, the delay between a cause (e.g., an external activity or reading of a sensor) and the corresponding effect, must be provided.</jats:p>\n          <jats:p>Current approaches focus on the maximum reaction time, considering the worst-case system behavior. However, in many scenarios, probabilistic guarantees on the reaction time are sufficient. That is, it is sufficient to provide a guarantee that the reaction does not exceed a certain threshold with (at least) a certain probability.</jats:p>\n          <jats:p>This work provides such probabilistic guarantees on the reaction time, considering two types of randomness: response time randomness and failure probabilities. To the best of our knowledge, this is the first work that defines and analyzes probabilistic reaction time for cause-effect chains based on sporadic tasks.</jats:p>","lang":"eng"}],"issue":"5s","publication":"ACM Transactions on Embedded Computing Systems","type":"journal_article","date_created":"2026-07-03T21:15:09Z"},{"date_created":"2026-07-03T21:14:35Z","type":"journal_article","citation":{"bibtex":"@article{Chen_Lin_Lee_2023, title={Guest Editorial: Special Issue on Systems Optimizations for DSP and AI Applications}, volume={95}, DOI={<a href=\"https://doi.org/10.1007/s11265-023-01854-y\">10.1007/s11265-023-01854-y</a>}, number={5}, journal={Journal of Signal Processing Systems}, publisher={Springer Science and Business Media LLC}, author={Chen, Kuan-Hsun and Lin, Yung-Chia and Lee, Jenq-Kuen}, year={2023}, pages={569–570} }","ama":"Chen K-H, Lin Y-C, Lee J-K. 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Guest Editorial: Special Issue on Systems Optimizations for DSP and AI Applications. <i>Journal of Signal Processing Systems</i>, <i>95</i>(5), 569–570. <a href=\"https://doi.org/10.1007/s11265-023-01854-y\">https://doi.org/10.1007/s11265-023-01854-y</a>"},"publication":"Journal of Signal Processing Systems","issue":"5","language":[{"iso":"eng"}],"_id":"66185","publisher":"Springer Science and Business Media LLC","page":"569-570","volume":95,"doi":"10.1007/s11265-023-01854-y","user_id":"128464","author":[{"full_name":"Chen, Kuan-Hsun","last_name":"Chen","first_name":"Kuan-Hsun"},{"full_name":"Lin, Yung-Chia","last_name":"Lin","first_name":"Yung-Chia"},{"last_name":"Lee","first_name":"Jenq-Kuen","full_name":"Lee, Jenq-Kuen"}],"publication_identifier":{"issn":["1939-8018","1939-8115"]},"title":"Guest Editorial: Special Issue on Systems Optimizations for DSP and AI Applications","status":"public","year":"2023","intvolume":"        95","date_updated":"2026-07-05T14:47:03Z","publication_status":"published"},{"citation":{"mla":"Hölscher, Nils, et al. “Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain.” <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>.","bibtex":"@inproceedings{Hölscher_Truong_Hakert_Seidl_Chen_Chen_2023, title={Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain}, DOI={<a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>}, booktitle={2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)}, publisher={IEEE}, author={Hölscher, Nils and Truong, Minh Duy and Hakert, Christian and Seidl, Tristan and Chen, Kuan-Hsun and Chen, Jian-Jia}, year={2023} }","ama":"Hölscher N, Truong MD, Hakert C, Seidl T, Chen K-H, Chen J-J. Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain. In: <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>","ieee":"N. Hölscher, M. D. Truong, C. Hakert, T. Seidl, K.-H. Chen, and J.-J. Chen, “Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain,” 2023, doi: <a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">10.1109/nvmsa58981.2023.00012</a>.","apa":"Hölscher, N., Truong, M. D., Hakert, C., Seidl, T., Chen, K.-H., &#38; Chen, J.-J. (2023). Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain. <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>. <a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">https://doi.org/10.1109/nvmsa58981.2023.00012</a>","chicago":"Hölscher, Nils, Minh Duy Truong, Christian Hakert, Tristan Seidl, Kuan-Hsun Chen, and Jian-Jia Chen. “Rapid NVM Simulation and Analysis on Single Bit Granularity Featuring Gem5 and NVMain.” In <i>2023 IEEE 12th Non-Volatile Memory Systems and Applications Symposium (NVMSA)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/nvmsa58981.2023.00012\">https://doi.org/10.1109/nvmsa58981.2023.00012</a>.","short":"N. Hölscher, M.D. Truong, C. Hakert, T. Seidl, K.-H. Chen, J.-J. 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Teper, T. Betz, G. Von Der Brüggen, K.-H. Chen, J. Betz, and J.-J. Chen, “Timing-Aware ROS 2 Architecture and System Optimization,” 2023, doi: <a href=\"https://doi.org/10.1109/rtcsa58653.2023.00032\">10.1109/rtcsa58653.2023.00032</a>.","apa":"Teper, H., Betz, T., Von Der Brüggen, G., Chen, K.-H., Betz, J., &#38; Chen, J.-J. (2023). Timing-Aware ROS 2 Architecture and System Optimization. <i>2023 IEEE 29th International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA)</i>. <a href=\"https://doi.org/10.1109/rtcsa58653.2023.00032\">https://doi.org/10.1109/rtcsa58653.2023.00032</a>","chicago":"Teper, Harun, Tobias Betz, Georg Von Der Brüggen, Kuan-Hsun Chen, Johannes Betz, and Jian-Jia Chen. “Timing-Aware ROS 2 Architecture and System Optimization.” In <i>2023 IEEE 29th International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/rtcsa58653.2023.00032\">https://doi.org/10.1109/rtcsa58653.2023.00032</a>.","short":"H. Teper, T. Betz, G. Von Der Brüggen, K.-H. Chen, J. Betz, J.-J. Chen, in: 2023 IEEE 29th International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA), IEEE, 2023.","mla":"Teper, Harun, et al. “Timing-Aware ROS 2 Architecture and System Optimization.” <i>2023 IEEE 29th International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/rtcsa58653.2023.00032\">10.1109/rtcsa58653.2023.00032</a>.","bibtex":"@inproceedings{Teper_Betz_Von Der Brüggen_Chen_Betz_Chen_2023, title={Timing-Aware ROS 2 Architecture and System Optimization}, DOI={<a href=\"https://doi.org/10.1109/rtcsa58653.2023.00032\">10.1109/rtcsa58653.2023.00032</a>}, booktitle={2023 IEEE 29th International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA)}, publisher={IEEE}, author={Teper, Harun and Betz, Tobias and Von Der Brüggen, Georg and Chen, Kuan-Hsun and Betz, Johannes and Chen, Jian-Jia}, year={2023} }","ama":"Teper H, Betz T, Von Der Brüggen G, Chen K-H, Betz J, Chen J-J. Timing-Aware ROS 2 Architecture and System Optimization. In: <i>2023 IEEE 29th International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/rtcsa58653.2023.00032\">10.1109/rtcsa58653.2023.00032</a>"},"date_created":"2026-07-03T21:16:21Z","type":"conference"}]