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Efficient Control of Formation Flying Spacecraft. In: <i>Friedhelm Meyer Auf Der Heide and Burkhard Monien, Editors, New Trends in Parallel &#38; Distributed Computing</i>. Vol 181. Heinz Nixdorf Institut Verlagsschriftreihe; 2006:235-247.","bibtex":"@inbook{Dellnitz_Junge_Krishnamurthy_Ober-Blöbaum_Padberg_Preis_2006, title={Efficient Control of Formation Flying Spacecraft}, volume={181}, booktitle={Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel &#38; Distributed Computing}, publisher={Heinz Nixdorf Institut Verlagsschriftreihe}, author={Dellnitz, M. and Junge, O. and Krishnamurthy, A. and Ober-Blöbaum, Sina and Padberg, K. and Preis, R.}, year={2006}, pages={235–247} }","apa":"Dellnitz, M., Junge, O., Krishnamurthy, A., Ober-Blöbaum, S., Padberg, K., &#38; Preis, R. (2006). Efficient Control of Formation Flying Spacecraft. In <i>Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel &#38; Distributed Computing</i> (Vol. 181, pp. 235–247). Heinz Nixdorf Institut Verlagsschriftreihe.","ieee":"M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, and R. Preis, “Efficient Control of Formation Flying Spacecraft,” in <i>Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel &#38; Distributed Computing</i>, vol. 181, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.","short":"M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, R. Preis, in: Friedhelm Meyer Auf Der Heide and Burkhard Monien, Editors, New Trends in Parallel &#38; Distributed Computing, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.","chicago":"Dellnitz, M., O. Junge, A. Krishnamurthy, Sina Ober-Blöbaum, K. Padberg, and R. Preis. “Efficient Control of Formation Flying Spacecraft.” In <i>Friedhelm Meyer Auf Der Heide and Burkhard Monien, Editors, New Trends in Parallel &#38; Distributed Computing</i>, 181:235–47. Heinz Nixdorf Institut Verlagsschriftreihe, 2006."}},{"citation":{"mla":"Junge, O., et al. “Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach.” <i>45th IEEE Conference on Decision and Control</i>, 2006, pp. 5210–15.","bibtex":"@inproceedings{Junge_Marsden_Ober-Blöbaum_2006, title={Optimal reconfiguration of formation flying spacecraft - a decentralized approach}, booktitle={45th IEEE Conference on Decision and Control}, author={Junge, O. and Marsden, J.E. and Ober-Blöbaum, Sina}, year={2006}, pages={5210–5215} }","ama":"Junge O, Marsden JE, Ober-Blöbaum S. Optimal reconfiguration of formation flying spacecraft - a decentralized approach. In: <i>45th IEEE Conference on Decision and Control</i>. ; 2006:5210-5215.","ieee":"O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Optimal reconfiguration of formation flying spacecraft - a decentralized approach,” in <i>45th IEEE Conference on Decision and Control</i>, San Diego, CA, USA, 2006, pp. 5210–5215.","apa":"Junge, O., Marsden, J. E., &#38; Ober-Blöbaum, S. (2006). Optimal reconfiguration of formation flying spacecraft - a decentralized approach. <i>45th IEEE Conference on Decision and Control</i>, 5210–5215.","chicago":"Junge, O., J.E. Marsden, and Sina Ober-Blöbaum. “Optimal Reconfiguration of Formation Flying Spacecraft - a Decentralized Approach.” In <i>45th IEEE Conference on Decision and Control</i>, 5210–15, 2006.","short":"O. Junge, J.E. Marsden, S. Ober-Blöbaum, in: 45th IEEE Conference on Decision and Control, 2006, pp. 5210–5215."},"publication":"45th IEEE Conference on Decision and Control","date_created":"2022-01-20T08:54:37Z","department":[{"_id":"636"}],"type":"conference","author":[{"last_name":"Junge","first_name":"O.","full_name":"Junge, O."},{"first_name":"J.E.","last_name":"Marsden","full_name":"Marsden, J.E."},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"}],"conference":{"end_date":"2006-12-15","location":"San Diego, CA, USA","start_date":"2006-12-13"},"year":"2006","status":"public","title":"Optimal reconfiguration of formation flying spacecraft - a decentralized approach","date_updated":"2022-01-24T07:43:50Z","_id":"29488","language":[{"iso":"eng"}],"page":"5210-5215","user_id":"15694"},{"author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"},{"full_name":"Malle, G.","last_name":"Malle","first_name":"G."}],"publication_identifier":{"issn":["0075-4102","1435-5345"]},"title":"Counting nilpotent Galois extensions","year":"2006","intvolume":"      2004","publication_status":"published","date_updated":"2023-03-06T09:11:16Z","language":[{"iso":"eng"}],"doi":"10.1515/crll.2004.050","publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","issue":"572","abstract":[{"text":"We obtain strong information on the asymptotic behaviour of the counting function for nilpotent Galois extensions with bounded discriminant of arbitrary number fields. This extends previous investigations for the case of abelian groups. In particular, the result confirms a conjecture by the second author on this function for arbitrary groups in the nilpotent case. We further prove compatibility of the conjecture with taking wreath products with the cyclic group of order 2 and give examples in degree up to 8. ","lang":"eng"}],"date_created":"2022-12-23T09:50:49Z","department":[{"_id":"102"}],"type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"status":"public","_id":"34895","publisher":"Walter de Gruyter GmbH","page":"1-26","volume":2004,"user_id":"93826","citation":{"ieee":"J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no. 572, pp. 1–26, 2006, doi: <a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>.","apa":"Klüners, J., &#38; Malle, G. (2006). Counting nilpotent Galois extensions. <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2004</i>(572), 1–26. <a href=\"https://doi.org/10.1515/crll.2004.050\">https://doi.org/10.1515/crll.2004.050</a>","chicago":"Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2004, no. 572 (2006): 1–26. <a href=\"https://doi.org/10.1515/crll.2004.050\">https://doi.org/10.1515/crll.2004.050</a>.","short":"J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.","mla":"Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no. 572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>.","bibtex":"@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions}, volume={2004}, DOI={<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>}, number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle, G.}, year={2006}, pages={1–26} }","ama":"Klüners J, Malle G. Counting nilpotent Galois extensions. <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>. 2006;2004(572):1-26. doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>"},"external_id":{"arxiv":["math/0112318"]}},{"intvolume":"        18","publication_status":"published","date_updated":"2023-03-06T09:12:04Z","author":[{"last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202"}],"publication_identifier":{"issn":["1246-7405"]},"title":"Asymptotics of number fields and the Cohen–Lenstra heuristics","year":"2006","doi":"10.5802/jtnb.561","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We study the asymptotics conjecture of Malle for dihedral groups Dℓ of order 2ℓ, where ℓ is an odd prime. We prove the expected lower bound for those groups. For the upper bounds we show that there is a connection to class groups of quadratic number fields. The asymptotic behavior of those class groups is predicted by the Cohen--Lenstra heuristics. Under the assumption of this heuristic we are able to prove the expected upper bounds. "}],"issue":"3","publication":"Journal de Théorie des Nombres de Bordeaux","department":[{"_id":"102"}],"keyword":["Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-23T09:37:01Z","status":"public","volume":18,"user_id":"93826","_id":"34891","publisher":"Cellule MathDoc/CEDRAM","page":"607-615","citation":{"chicago":"Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.” <i>Journal de Théorie Des Nombres de Bordeaux</i> 18, no. 3 (2006): 607–15. <a href=\"https://doi.org/10.5802/jtnb.561\">https://doi.org/10.5802/jtnb.561</a>.","short":"J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.","apa":"Klüners, J. (2006). Asymptotics of number fields and the Cohen–Lenstra heuristics. <i>Journal de Théorie Des Nombres de Bordeaux</i>, <i>18</i>(3), 607–615. <a href=\"https://doi.org/10.5802/jtnb.561\">https://doi.org/10.5802/jtnb.561</a>","ieee":"J. Klüners, “Asymptotics of number fields and the Cohen–Lenstra heuristics,” <i>Journal de Théorie des Nombres de Bordeaux</i>, vol. 18, no. 3, pp. 607–615, 2006, doi: <a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>.","ama":"Klüners J. Asymptotics of number fields and the Cohen–Lenstra heuristics. <i>Journal de Théorie des Nombres de Bordeaux</i>. 2006;18(3):607-615. doi:<a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>","bibtex":"@article{Klüners_2006, title={Asymptotics of number fields and the Cohen–Lenstra heuristics}, volume={18}, DOI={<a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>}, number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Klüners, Jürgen}, year={2006}, pages={607–615} }","mla":"Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.” <i>Journal de Théorie Des Nombres de Bordeaux</i>, vol. 18, no. 3, Cellule MathDoc/CEDRAM, 2006, pp. 607–15, doi:<a href=\"https://doi.org/10.5802/jtnb.561\">10.5802/jtnb.561</a>."},"external_id":{"arxiv":["math/0512260 "]}},{"citation":{"ieee":"É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number fields,” <i>Inventiones mathematicae</i>, vol. 167, no. 3, pp. 455–513, 2006, doi: <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>.","apa":"Fouvry, É., &#38; Klüners, J. (2006). On the 4-rank of class groups of quadratic number fields. <i>Inventiones Mathematicae</i>, <i>167</i>(3), 455–513. <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">https://doi.org/10.1007/s00222-006-0021-2</a>","chicago":"Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic Number Fields.” <i>Inventiones Mathematicae</i> 167, no. 3 (2006): 455–513. <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">https://doi.org/10.1007/s00222-006-0021-2</a>.","short":"É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.","mla":"Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic Number Fields.” <i>Inventiones Mathematicae</i>, vol. 167, no. 3, Springer Science and Business Media LLC, 2006, pp. 455–513, doi:<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>.","bibtex":"@article{Fouvry_Klüners_2006, title={On the 4-rank of class groups of quadratic number fields}, volume={167}, DOI={<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>}, number={3}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006}, pages={455–513} }","ama":"Fouvry É, Klüners J. On the 4-rank of class groups of quadratic number fields. <i>Inventiones mathematicae</i>. 2006;167(3):455-513. doi:<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>"},"volume":167,"user_id":"93826","publisher":"Springer Science and Business Media LLC","_id":"34890","page":"455-513","status":"public","department":[{"_id":"102"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2022-12-23T09:36:15Z","abstract":[{"text":"We prove that the 4-rank of class groups of quadratic number fields behaves as predicted in an extension due to Gerth of the Cohen–Lenstra heuristics. ","lang":"eng"}],"related_material":{"link":[{"url":"https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/ranks.pdf","relation":"confirmation"}]},"publication":"Inventiones mathematicae","issue":"3","doi":"10.1007/s00222-006-0021-2","language":[{"iso":"eng"}],"intvolume":"       167","publication_status":"published","date_updated":"2023-03-06T09:12:30Z","publication_identifier":{"issn":["0020-9910","1432-1297"]},"author":[{"first_name":"Étienne","last_name":"Fouvry","full_name":"Fouvry, Étienne"},{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"}],"year":"2006","title":"On the 4-rank of class groups of quadratic number fields"},{"title":"Cohen–Lenstra Heuristics of Quadratic Number Fields","status":"public","year":"2006","author":[{"last_name":"Fouvry","first_name":"Étienne","full_name":"Fouvry, Étienne"},{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"}],"publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783540360759","9783540360766"]},"publication_status":"published","date_updated":"2023-03-06T09:13:15Z","_id":"35958","language":[{"iso":"eng"}],"publisher":"Springer Berlin Heidelberg","user_id":"93826","doi":"10.1007/11792086_4","publication":"Lecture Notes in Computer Science","citation":{"apa":"Fouvry, É., &#38; Klüners, J. (2006). Cohen–Lenstra Heuristics of Quadratic Number Fields. In <i>Lecture Notes in Computer Science</i>. Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/11792086_4\">https://doi.org/10.1007/11792086_4</a>","ieee":"É. Fouvry and J. Klüners, “Cohen–Lenstra Heuristics of Quadratic Number Fields,” in <i>Lecture Notes in Computer Science</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006.","short":"É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “Cohen–Lenstra Heuristics of Quadratic Number Fields.” In <i>Lecture Notes in Computer Science</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. <a href=\"https://doi.org/10.1007/11792086_4\">https://doi.org/10.1007/11792086_4</a>.","mla":"Fouvry, Étienne, and Jürgen Klüners. “Cohen–Lenstra Heuristics of Quadratic Number Fields.” <i>Lecture Notes in Computer Science</i>, Springer Berlin Heidelberg, 2006, doi:<a href=\"https://doi.org/10.1007/11792086_4\">10.1007/11792086_4</a>.","ama":"Fouvry É, Klüners J. Cohen–Lenstra Heuristics of Quadratic Number Fields. In: <i>Lecture Notes in Computer Science</i>. Springer Berlin Heidelberg; 2006. doi:<a href=\"https://doi.org/10.1007/11792086_4\">10.1007/11792086_4</a>","bibtex":"@inbook{Fouvry_Klüners_2006, place={Berlin, Heidelberg}, title={Cohen–Lenstra Heuristics of Quadratic Number Fields}, DOI={<a href=\"https://doi.org/10.1007/11792086_4\">10.1007/11792086_4</a>}, booktitle={Lecture Notes in Computer Science}, publisher={Springer Berlin Heidelberg}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006} }"},"abstract":[{"lang":"eng","text":"We establish a link between some heuristic asymptotic formulas (due to Cohen and Lenstra) concerning the moments of the p–part of the class groups of quadratic fields and formulas giving the frequency of the values of the p–rank of these class groups."}],"related_material":{"link":[{"relation":"confirmation","url":"https://www.researchgate.net/profile/Juergen-Klueners/publication/221451567_Cohen-Lenstra_Heuristics_of_Quadratic_Number_Fields/links/0a85e53298eaed8777000000/Cohen-Lenstra-Heuristics-of-Quadratic-Number-Fields.pdf?origin=publication_detail"}]},"date_created":"2023-01-11T09:46:47Z","place":"Berlin, Heidelberg","type":"book_chapter","department":[{"_id":"102"}]},{"citation":{"ieee":"J. Klüners, “The number of S₄-fields with given discriminant,” <i>Acta Arithmetica</i>, vol. 122, no. 2, pp. 185–194, 2006, doi: <a href=\"https://doi.org/10.4064/aa122-2-3\">10.4064/aa122-2-3</a>.","apa":"Klüners, J. (2006). The number of S₄-fields with given discriminant. <i>Acta Arithmetica</i>, <i>122</i>(2), 185–194. <a href=\"https://doi.org/10.4064/aa122-2-3\">https://doi.org/10.4064/aa122-2-3</a>","chicago":"Klüners, Jürgen. “The Number of S₄-Fields with given Discriminant.” <i>Acta Arithmetica</i> 122, no. 2 (2006): 185–94. <a href=\"https://doi.org/10.4064/aa122-2-3\">https://doi.org/10.4064/aa122-2-3</a>.","short":"J. Klüners, Acta Arithmetica 122 (2006) 185–194.","mla":"Klüners, Jürgen. “The Number of S₄-Fields with given Discriminant.” <i>Acta Arithmetica</i>, vol. 122, no. 2, Institute of Mathematics, Polish Academy of Sciences, 2006, pp. 185–94, doi:<a href=\"https://doi.org/10.4064/aa122-2-3\">10.4064/aa122-2-3</a>.","bibtex":"@article{Klüners_2006, title={The number of S₄-fields with given discriminant}, volume={122}, DOI={<a href=\"https://doi.org/10.4064/aa122-2-3\">10.4064/aa122-2-3</a>}, number={2}, journal={Acta Arithmetica}, publisher={Institute of Mathematics, Polish Academy of Sciences}, author={Klüners, Jürgen}, year={2006}, pages={185–194} }","ama":"Klüners J. The number of S₄-fields with given discriminant. <i>Acta Arithmetica</i>. 2006;122(2):185-194. doi:<a href=\"https://doi.org/10.4064/aa122-2-3\">10.4064/aa122-2-3</a>"},"external_id":{"arxiv":["math/0411484"]},"status":"public","page":"185-194","publisher":"Institute of Mathematics, Polish Academy of Sciences","_id":"34892","user_id":"93826","volume":122,"publication":"Acta Arithmetica","issue":"2","abstract":[{"lang":"eng","text":"We prove that the number of quartic S4--extensions of the rationals of given discriminant d is $O_\\eps(d^{1/2+\\eps})$ for all $\\eps>0$. For a prime number p we derive that the dimension of the space of octahedral modular forms of weight 1 and conductor p or p² is bounded above by O(p¹/²log(p)²). "}],"date_created":"2022-12-23T09:40:25Z","type":"journal_article","keyword":["Algebra and Number Theory"],"department":[{"_id":"102"}],"title":"The number of S₄-fields with given discriminant","year":"2006","author":[{"full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners","id":"21202"}],"publication_identifier":{"issn":["0065-1036","1730-6264"]},"date_updated":"2023-03-06T09:52:41Z","publication_status":"published","intvolume":"       122","language":[{"iso":"eng"}],"doi":"10.4064/aa122-2-3"},{"publication_status":"published","date_updated":"2022-01-06T06:52:52Z","author":[{"first_name":"Sarah","last_name":"Day","full_name":"Day, Sarah"},{"full_name":"Junge, Oliver","last_name":"Junge","first_name":"Oliver"},{"full_name":"Mischaikow, Konstantin","first_name":"Konstantin","last_name":"Mischaikow"}],"publication_identifier":{"isbn":["9789812561695","9789812702067"]},"status":"public","title":"Towards Automated Chaos Verification","year":"2005","user_id":"15701","doi":"10.1142/9789812702067_0014","language":[{"iso":"eng"}],"_id":"16525","citation":{"bibtex":"@inproceedings{Day_Junge_Mischaikow_2005, title={Towards Automated Chaos Verification}, DOI={<a href=\"https://doi.org/10.1142/9789812702067_0014\">10.1142/9789812702067_0014</a>}, booktitle={EQUADIFF 2003}, author={Day, Sarah and Junge, Oliver and Mischaikow, Konstantin}, year={2005} }","short":"S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.","ama":"Day S, Junge O, Mischaikow K. Towards Automated Chaos Verification. In: <i>EQUADIFF 2003</i>. ; 2005. doi:<a href=\"https://doi.org/10.1142/9789812702067_0014\">10.1142/9789812702067_0014</a>","chicago":"Day, Sarah, Oliver Junge, and Konstantin Mischaikow. “Towards Automated Chaos Verification.” In <i>EQUADIFF 2003</i>, 2005. <a href=\"https://doi.org/10.1142/9789812702067_0014\">https://doi.org/10.1142/9789812702067_0014</a>.","ieee":"S. Day, O. Junge, and K. Mischaikow, “Towards Automated Chaos Verification,” in <i>EQUADIFF 2003</i>, 2005.","mla":"Day, Sarah, et al. “Towards Automated Chaos Verification.” <i>EQUADIFF 2003</i>, 2005, doi:<a href=\"https://doi.org/10.1142/9789812702067_0014\">10.1142/9789812702067_0014</a>.","apa":"Day, S., Junge, O., &#38; Mischaikow, K. (2005). Towards Automated Chaos Verification. In <i>EQUADIFF 2003</i>. <a href=\"https://doi.org/10.1142/9789812702067_0014\">https://doi.org/10.1142/9789812702067_0014</a>"},"publication":"EQUADIFF 2003","department":[{"_id":"101"}],"type":"conference","date_created":"2020-04-15T08:14:05Z"},{"status":"public","title":"Transport in Dynamical Astronomy and Multibody Problems","year":"2005","publication_identifier":{"issn":["0218-1274","1793-6551"]},"author":[{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"},{"first_name":"Wang Sang","last_name":"Koon","full_name":"Koon, Wang Sang"},{"full_name":"Lekien, Francois","first_name":"Francois","last_name":"Lekien"},{"full_name":"Lo, Martin W.","last_name":"Lo","first_name":"Martin W."},{"first_name":"Jerrold E.","last_name":"Marsden","full_name":"Marsden, Jerrold E."},{"first_name":"Kathrin","last_name":"Padberg","full_name":"Padberg, Kathrin"},{"full_name":"Preis, Robert","last_name":"Preis","first_name":"Robert"},{"last_name":"Ross","first_name":"Shane D.","full_name":"Ross, Shane D."},{"first_name":"Bianca","last_name":"Thiere","full_name":"Thiere, Bianca"}],"publication_status":"published","date_updated":"2022-01-06T06:52:52Z","page":"699-727","_id":"16557","language":[{"iso":"eng"}],"user_id":"15701","doi":"10.1142/s0218127405012545","publication":"International Journal of Bifurcation and Chaos","citation":{"ieee":"M. Dellnitz <i>et al.</i>, “Transport in Dynamical Astronomy and Multibody Problems,” <i>International Journal of Bifurcation and Chaos</i>, pp. 699–727, 2005.","apa":"Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E., … Thiere, B. (2005). Transport in Dynamical Astronomy and Multibody Problems. <i>International Journal of Bifurcation and Chaos</i>, 699–727. <a href=\"https://doi.org/10.1142/s0218127405012545\">https://doi.org/10.1142/s0218127405012545</a>","chicago":"Dellnitz, Michael, Oliver Junge, Wang Sang Koon, Francois Lekien, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport in Dynamical Astronomy and Multibody Problems.” <i>International Journal of Bifurcation and Chaos</i>, 2005, 699–727. <a href=\"https://doi.org/10.1142/s0218127405012545\">https://doi.org/10.1142/s0218127405012545</a>.","short":"M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, International Journal of Bifurcation and Chaos (2005) 699–727.","mla":"Dellnitz, Michael, et al. “Transport in Dynamical Astronomy and Multibody Problems.” <i>International Journal of Bifurcation and Chaos</i>, 2005, pp. 699–727, doi:<a href=\"https://doi.org/10.1142/s0218127405012545\">10.1142/s0218127405012545</a>.","bibtex":"@article{Dellnitz_Junge_Koon_Lekien_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport in Dynamical Astronomy and Multibody Problems}, DOI={<a href=\"https://doi.org/10.1142/s0218127405012545\">10.1142/s0218127405012545</a>}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver and Koon, Wang Sang and Lekien, Francois and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005}, pages={699–727} }","ama":"Dellnitz M, Junge O, Koon WS, et al. Transport in Dynamical Astronomy and Multibody Problems. <i>International Journal of Bifurcation and Chaos</i>. 2005:699-727. doi:<a href=\"https://doi.org/10.1142/s0218127405012545\">10.1142/s0218127405012545</a>"},"abstract":[{"lang":"eng","text":"<jats:p> We combine the techniques of almost invariant sets (using tree structured box elimination and graph partitioning algorithms) with invariant manifold and lobe dynamics techniques. The result is a new computational technique for computing key dynamical features, including almost invariant sets, resonance regions as well as transport rates and bottlenecks between regions in dynamical systems. This methodology can be applied to a variety of multibody problems, including those in molecular modeling, chemical reaction rates and dynamical astronomy. In this paper we focus on problems in dynamical astronomy to illustrate the power of the combination of these different numerical tools and their applicability. In particular, we compute transport rates between two resonance regions for the three-body system consisting of the Sun, Jupiter and a third body (such as an asteroid). These resonance regions are appropriate for certain comets and asteroids. </jats:p>"}],"date_created":"2020-04-15T09:15:58Z","type":"journal_article","department":[{"_id":"101"}]},{"citation":{"bibtex":"@article{Dellnitz_Junge_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.94.231102\">10.1103/physrevlett.94.231102</a>}, journal={Physical Review Letters}, author={Dellnitz, Michael and Junge, Oliver and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005} }","ama":"Dellnitz M, Junge O, Lo MW, et al. Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. <i>Physical Review Letters</i>. 2005. doi:<a href=\"https://doi.org/10.1103/physrevlett.94.231102\">10.1103/physrevlett.94.231102</a>","mla":"Dellnitz, Michael, et al. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.” <i>Physical Review Letters</i>, 2005, doi:<a href=\"https://doi.org/10.1103/physrevlett.94.231102\">10.1103/physrevlett.94.231102</a>.","chicago":"Dellnitz, Michael, Oliver Junge, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.” <i>Physical Review Letters</i>, 2005. <a href=\"https://doi.org/10.1103/physrevlett.94.231102\">https://doi.org/10.1103/physrevlett.94.231102</a>.","short":"M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).","ieee":"M. Dellnitz <i>et al.</i>, “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region,” <i>Physical Review Letters</i>, 2005.","apa":"Dellnitz, M., Junge, O., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., … Thiere, B. (2005). Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. <i>Physical Review Letters</i>. <a href=\"https://doi.org/10.1103/physrevlett.94.231102\">https://doi.org/10.1103/physrevlett.94.231102</a>"},"publication":"Physical Review Letters","department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-15T09:54:54Z","date_updated":"2022-01-06T06:52:52Z","publication_status":"published","author":[{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"full_name":"Junge, Oliver","first_name":"Oliver","last_name":"Junge"},{"last_name":"Lo","first_name":"Martin W.","full_name":"Lo, Martin W."},{"full_name":"Marsden, Jerrold E.","first_name":"Jerrold E.","last_name":"Marsden"},{"full_name":"Padberg, Kathrin","first_name":"Kathrin","last_name":"Padberg"},{"last_name":"Preis","first_name":"Robert","full_name":"Preis, Robert"},{"last_name":"Ross","first_name":"Shane D.","full_name":"Ross, Shane D."},{"first_name":"Bianca","last_name":"Thiere","full_name":"Thiere, Bianca"}],"publication_identifier":{"issn":["0031-9007","1079-7114"]},"title":"Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region","status":"public","year":"2005","doi":"10.1103/physrevlett.94.231102","user_id":"15701","_id":"16558","language":[{"iso":"eng"}]},{"publication":"Systems & Control Letters","citation":{"ieee":"L. Grüne and O. Junge, “A set oriented approach to optimal feedback stabilization,” <i>Systems &#38; Control Letters</i>, pp. 169–180, 2005.","apa":"Grüne, L., &#38; Junge, O. (2005). A set oriented approach to optimal feedback stabilization. <i>Systems &#38; Control Letters</i>, 169–180. <a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">https://doi.org/10.1016/j.sysconle.2004.08.005</a>","short":"L. Grüne, O. Junge, Systems &#38; Control Letters (2005) 169–180.","chicago":"Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.” <i>Systems &#38; Control Letters</i>, 2005, 169–80. <a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">https://doi.org/10.1016/j.sysconle.2004.08.005</a>.","mla":"Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.” <i>Systems &#38; Control Letters</i>, 2005, pp. 169–80, doi:<a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">10.1016/j.sysconle.2004.08.005</a>.","bibtex":"@article{Grüne_Junge_2005, title={A set oriented approach to optimal feedback stabilization}, DOI={<a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">10.1016/j.sysconle.2004.08.005</a>}, journal={Systems &#38; Control Letters}, author={Grüne, Lars and Junge, Oliver}, year={2005}, pages={169–180} }","ama":"Grüne L, Junge O. A set oriented approach to optimal feedback stabilization. <i>Systems &#38; Control Letters</i>. 2005:169-180. doi:<a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">10.1016/j.sysconle.2004.08.005</a>"},"type":"journal_article","department":[{"_id":"101"}],"date_created":"2020-04-16T08:04:26Z","publication_status":"published","date_updated":"2022-01-06T06:52:53Z","status":"public","year":"2005","title":"A set oriented approach to optimal feedback stabilization","publication_identifier":{"issn":["0167-6911"]},"author":[{"full_name":"Grüne, Lars","first_name":"Lars","last_name":"Grüne"},{"last_name":"Junge","first_name":"Oliver","full_name":"Junge, Oliver"}],"user_id":"15701","doi":"10.1016/j.sysconle.2004.08.005","page":"169-180","language":[{"iso":"eng"}],"_id":"16613"},{"type":"journal_article","department":[{"_id":"101"}],"date_created":"2020-04-16T08:21:52Z","abstract":[{"text":"<jats:p> The computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global stable or unstable manifold of a vector field, where we concentrate on the case of a two-dimensional manifold. All methods are illustrated with the same example — the two-dimensional stable manifold of the origin in the Lorenz system. </jats:p>","lang":"eng"}],"publication":"International Journal of Bifurcation and Chaos","citation":{"chicago":"Krauskopf, B., H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” <i>International Journal of Bifurcation and Chaos</i>, 2005, 763–91. <a href=\"https://doi.org/10.1142/s0218127405012533\">https://doi.org/10.1142/s0218127405012533</a>.","short":"B. Krauskopf, H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (2005) 763–791.","ama":"Krauskopf B, Osinga HM, Doedel EJ, et al. A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. <i>International Journal of Bifurcation and Chaos</i>. 2005:763-791. doi:<a href=\"https://doi.org/10.1142/s0218127405012533\">10.1142/s0218127405012533</a>","bibtex":"@article{Krauskopf_Osinga_Doedel_Henderson_Guckenheimer_Vladimirsky_Dellnitz_Junge_2005, title={A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}, DOI={<a href=\"https://doi.org/10.1142/s0218127405012533\">10.1142/s0218127405012533</a>}, journal={International Journal of Bifurcation and Chaos}, author={Krauskopf, B. and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J. and Vladimirsky, A. and Dellnitz, M. and Junge, O.}, year={2005}, pages={763–791} }","apa":"Krauskopf, B., Osinga, H. M., Doedel, E. J., Henderson, M. E., Guckenheimer, J., Vladimirsky, A., … Junge, O. (2005). A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. <i>International Journal of Bifurcation and Chaos</i>, 763–791. <a href=\"https://doi.org/10.1142/s0218127405012533\">https://doi.org/10.1142/s0218127405012533</a>","mla":"Krauskopf, B., et al. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” <i>International Journal of Bifurcation and Chaos</i>, 2005, pp. 763–91, doi:<a href=\"https://doi.org/10.1142/s0218127405012533\">10.1142/s0218127405012533</a>.","ieee":"B. Krauskopf <i>et al.</i>, “A Survey of Methods for Computing (un)stable Manifolds of Vector Fields,” <i>International Journal of Bifurcation and Chaos</i>, pp. 763–791, 2005."},"doi":"10.1142/s0218127405012533","user_id":"15701","page":"763-791","language":[{"iso":"eng"}],"_id":"16627","date_updated":"2022-01-06T06:52:53Z","publication_status":"published","status":"public","title":"A Survey of Methods for Computing (un)stable Manifolds of Vector Fields","year":"2005","author":[{"last_name":"Krauskopf","first_name":"B.","full_name":"Krauskopf, B."},{"full_name":"Osinga, H. M.","first_name":"H. M.","last_name":"Osinga"},{"full_name":"Doedel, E. J.","first_name":"E. J.","last_name":"Doedel"},{"first_name":"M. E.","last_name":"Henderson","full_name":"Henderson, M. E."},{"full_name":"Guckenheimer, J.","last_name":"Guckenheimer","first_name":"J."},{"last_name":"Vladimirsky","first_name":"A.","full_name":"Vladimirsky, A."},{"last_name":"Dellnitz","first_name":"M.","full_name":"Dellnitz, M."},{"first_name":"O.","last_name":"Junge","full_name":"Junge, O."}],"publication_identifier":{"issn":["0218-1274","1793-6551"]}},{"author":[{"full_name":"Krishnamurthy, A.","first_name":"A.","last_name":"Krishnamurthy"},{"last_name":"Preis","first_name":"R.","full_name":"Preis, R."}],"publication_identifier":{"isbn":["0769523129"]},"year":"2005","status":"public","title":"Satellite Formation, a Mobile Sensor Network in Space","date_updated":"2022-01-06T06:52:53Z","publication_status":"published","_id":"16628","doi":"10.1109/ipdps.2005.387","user_id":"15701","citation":{"apa":"Krishnamurthy, A., &#38; Preis, R. (2005). Satellite Formation, a Mobile Sensor Network in Space. In <i>19th IEEE International Parallel and Distributed Processing Symposium</i>. <a href=\"https://doi.org/10.1109/ipdps.2005.387\">https://doi.org/10.1109/ipdps.2005.387</a>","ieee":"A. Krishnamurthy and R. Preis, “Satellite Formation, a Mobile Sensor Network in Space,” in <i>19th IEEE International Parallel and Distributed Processing Symposium</i>, 2005.","chicago":"Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.” In <i>19th IEEE International Parallel and Distributed Processing Symposium</i>, 2005. <a href=\"https://doi.org/10.1109/ipdps.2005.387\">https://doi.org/10.1109/ipdps.2005.387</a>.","short":"A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 2005.","mla":"Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.” <i>19th IEEE International Parallel and Distributed Processing Symposium</i>, 2005, doi:<a href=\"https://doi.org/10.1109/ipdps.2005.387\">10.1109/ipdps.2005.387</a>.","ama":"Krishnamurthy A, Preis R. Satellite Formation, a Mobile Sensor Network in Space. In: <i>19th IEEE International Parallel and Distributed Processing Symposium</i>. ; 2005. doi:<a href=\"https://doi.org/10.1109/ipdps.2005.387\">10.1109/ipdps.2005.387</a>","bibtex":"@inproceedings{Krishnamurthy_Preis_2005, title={Satellite Formation, a Mobile Sensor Network in Space}, DOI={<a href=\"https://doi.org/10.1109/ipdps.2005.387\">10.1109/ipdps.2005.387</a>}, booktitle={19th IEEE International Parallel and Distributed Processing Symposium}, author={Krishnamurthy, A. and Preis, R.}, year={2005} }"},"publication":"19th IEEE International Parallel and Distributed Processing Symposium","date_created":"2020-04-16T08:22:43Z","department":[{"_id":"101"}],"type":"conference"},{"publication_identifier":{"isbn":["0780389751"]},"author":[{"first_name":"R.","last_name":"Li","full_name":"Li, R."},{"last_name":"Pottharst","first_name":"A.","full_name":"Pottharst, A."},{"full_name":"Frohieke, N.","first_name":"N.","last_name":"Frohieke"},{"first_name":"J.","last_name":"Becker","full_name":"Becker, J."},{"full_name":"Witting, K.","first_name":"K.","last_name":"Witting"},{"last_name":"Dellnitz","first_name":"M.","full_name":"Dellnitz, M."},{"full_name":"Znamenshchykov, O.","last_name":"Znamenshchykov","first_name":"O."},{"full_name":"Feldmann, R.","first_name":"R.","last_name":"Feldmann"}],"title":"Design and implementation of a hybrid energy supply system for railway vehicles","year":"2005","status":"public","publication_status":"published","date_updated":"2022-01-06T06:52:53Z","_id":"16631","user_id":"15701","doi":"10.1109/apec.2005.1452979","citation":{"mla":"Li, R., et al. “Design and Implementation of a Hybrid Energy Supply System for Railway Vehicles.” <i>Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.</i>, 2005, doi:<a href=\"https://doi.org/10.1109/apec.2005.1452979\">10.1109/apec.2005.1452979</a>.","ama":"Li R, Pottharst A, Frohieke N, et al. Design and implementation of a hybrid energy supply system for railway vehicles. In: <i>Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.</i> ; 2005. doi:<a href=\"https://doi.org/10.1109/apec.2005.1452979\">10.1109/apec.2005.1452979</a>","bibtex":"@inproceedings{Li_Pottharst_Frohieke_Becker_Witting_Dellnitz_Znamenshchykov_Feldmann_2005, title={Design and implementation of a hybrid energy supply system for railway vehicles}, DOI={<a href=\"https://doi.org/10.1109/apec.2005.1452979\">10.1109/apec.2005.1452979</a>}, booktitle={Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.}, author={Li, R. and Pottharst, A. and Frohieke, N. and Becker, J. and Witting, K. and Dellnitz, M. and Znamenshchykov, O. and Feldmann, R.}, year={2005} }","apa":"Li, R., Pottharst, A., Frohieke, N., Becker, J., Witting, K., Dellnitz, M., … Feldmann, R. (2005). Design and implementation of a hybrid energy supply system for railway vehicles. In <i>Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.</i> <a href=\"https://doi.org/10.1109/apec.2005.1452979\">https://doi.org/10.1109/apec.2005.1452979</a>","ieee":"R. Li <i>et al.</i>, “Design and implementation of a hybrid energy supply system for railway vehicles,” in <i>Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.</i>, 2005.","chicago":"Li, R., A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, and R. Feldmann. “Design and Implementation of a Hybrid Energy Supply System for Railway Vehicles.” In <i>Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.</i>, 2005. <a href=\"https://doi.org/10.1109/apec.2005.1452979\">https://doi.org/10.1109/apec.2005.1452979</a>.","short":"R. Li, A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, R. Feldmann, in: Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005."},"publication":"Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.","date_created":"2020-04-16T08:29:47Z","department":[{"_id":"101"}],"type":"conference"},{"page":"113-136","language":[{"iso":"eng"}],"_id":"16684","user_id":"15701","doi":"10.1007/s10957-004-6468-7","status":"public","title":"Covering Pareto Sets by Multilevel Subdivision Techniques","year":"2005","author":[{"first_name":"M.","last_name":"Dellnitz","full_name":"Dellnitz, M."},{"last_name":"Sch�tze","first_name":"O.","full_name":"Sch�tze, O."},{"full_name":"Hestermeyer, T.","first_name":"T.","last_name":"Hestermeyer"}],"publication_identifier":{"issn":["0022-3239","1573-2878"]},"publication_status":"published","date_updated":"2022-01-06T06:52:54Z","date_created":"2020-04-16T10:31:32Z","type":"journal_article","department":[{"_id":"101"}],"publication":"Journal of Optimization Theory and Applications","citation":{"mla":"Dellnitz, M., et al. “Covering Pareto Sets by Multilevel Subdivision Techniques.” <i>Journal of Optimization Theory and Applications</i>, 2005, pp. 113–36, doi:<a href=\"https://doi.org/10.1007/s10957-004-6468-7\">10.1007/s10957-004-6468-7</a>.","bibtex":"@article{Dellnitz_Sch�tze_Hestermeyer_2005, title={Covering Pareto Sets by Multilevel Subdivision Techniques}, DOI={<a href=\"https://doi.org/10.1007/s10957-004-6468-7\">10.1007/s10957-004-6468-7</a>}, journal={Journal of Optimization Theory and Applications}, author={Dellnitz, M. and Sch�tze, O. and Hestermeyer, T.}, year={2005}, pages={113–136} }","ama":"Dellnitz M, Sch�tze O, Hestermeyer T. Covering Pareto Sets by Multilevel Subdivision Techniques. <i>Journal of Optimization Theory and Applications</i>. 2005:113-136. doi:<a href=\"https://doi.org/10.1007/s10957-004-6468-7\">10.1007/s10957-004-6468-7</a>","ieee":"M. Dellnitz, O. Sch�tze, and T. Hestermeyer, “Covering Pareto Sets by Multilevel Subdivision Techniques,” <i>Journal of Optimization Theory and Applications</i>, pp. 113–136, 2005.","apa":"Dellnitz, M., Sch�tze, O., &#38; Hestermeyer, T. (2005). Covering Pareto Sets by Multilevel Subdivision Techniques. <i>Journal of Optimization Theory and Applications</i>, 113–136. <a href=\"https://doi.org/10.1007/s10957-004-6468-7\">https://doi.org/10.1007/s10957-004-6468-7</a>","short":"M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and Applications (2005) 113–136.","chicago":"Dellnitz, M., O. Sch�tze, and T. Hestermeyer. “Covering Pareto Sets by Multilevel Subdivision Techniques.” <i>Journal of Optimization Theory and Applications</i>, 2005, 113–36. <a href=\"https://doi.org/10.1007/s10957-004-6468-7\">https://doi.org/10.1007/s10957-004-6468-7</a>."}},{"citation":{"ieee":"J. Klüners, “A counter example to Malle’s conjecture on the asymptotics of discriminants,” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, pp. 411–414, 2005, doi: <a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>.","apa":"Klüners, J. (2005). A counter example to Malle’s conjecture on the asymptotics of discriminants. <i>Comptes Rendus Mathematique</i>, <i>340</i>(6), 411–414. <a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">https://doi.org/10.1016/j.crma.2005.02.010</a>","short":"J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.","chicago":"Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics of Discriminants.” <i>Comptes Rendus Mathematique</i> 340, no. 6 (2005): 411–14. <a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">https://doi.org/10.1016/j.crma.2005.02.010</a>.","mla":"Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics of Discriminants.” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, Elsevier BV, 2005, pp. 411–14, doi:<a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>.","bibtex":"@article{Klüners_2005, title={A counter example to Malle’s conjecture on the asymptotics of discriminants}, volume={340}, DOI={<a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>}, number={6}, journal={Comptes Rendus Mathematique}, publisher={Elsevier BV}, author={Klüners, Jürgen}, year={2005}, pages={411–414} }","ama":"Klüners J. A counter example to Malle’s conjecture on the asymptotics of discriminants. <i>Comptes Rendus Mathematique</i>. 2005;340(6):411-414. doi:<a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>"},"external_id":{"arxiv":["math/0411486 "]},"status":"public","volume":340,"user_id":"93826","_id":"34894","publisher":"Elsevier BV","page":"411-414","abstract":[{"text":"In this Note we give a counter example to a conjecture of Malle which predicts the asymptotic behavior of the counting functions for field extensions with given Galois group and bounded discriminant. ","lang":"eng"}],"publication":"Comptes Rendus Mathematique","issue":"6","department":[{"_id":"102"}],"type":"journal_article","keyword":["General Mathematics"],"date_created":"2022-12-23T09:44:05Z","intvolume":"       340","publication_status":"published","date_updated":"2023-03-06T09:15:10Z","publication_identifier":{"issn":["1631-073X"]},"author":[{"full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen","id":"21202"}],"title":"A counter example to Malle's conjecture on the asymptotics of discriminants","year":"2005","doi":"10.1016/j.crma.2005.02.010","language":[{"iso":"eng"}]},{"citation":{"ama":"Klüners J, Pauli S. Computing residue class rings and Picard groups of orders. <i>Journal of Algebra</i>. 2005;292(1):47-64. doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2005.04.013\">10.1016/j.jalgebra.2005.04.013</a>","bibtex":"@article{Klüners_Pauli_2005, title={Computing residue class rings and Picard groups of orders}, volume={292}, DOI={<a href=\"https://doi.org/10.1016/j.jalgebra.2005.04.013\">10.1016/j.jalgebra.2005.04.013</a>}, number={1}, journal={Journal of Algebra}, publisher={Elsevier BV}, author={Klüners, Jürgen and Pauli, Sebastian}, year={2005}, pages={47–64} }","mla":"Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and Picard Groups of Orders.” <i>Journal of Algebra</i>, vol. 292, no. 1, Elsevier BV, 2005, pp. 47–64, doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2005.04.013\">10.1016/j.jalgebra.2005.04.013</a>.","short":"J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.","chicago":"Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and Picard Groups of Orders.” <i>Journal of Algebra</i> 292, no. 1 (2005): 47–64. <a href=\"https://doi.org/10.1016/j.jalgebra.2005.04.013\">https://doi.org/10.1016/j.jalgebra.2005.04.013</a>.","apa":"Klüners, J., &#38; Pauli, S. (2005). Computing residue class rings and Picard groups of orders. <i>Journal of Algebra</i>, <i>292</i>(1), 47–64. <a href=\"https://doi.org/10.1016/j.jalgebra.2005.04.013\">https://doi.org/10.1016/j.jalgebra.2005.04.013</a>","ieee":"J. Klüners and S. Pauli, “Computing residue class rings and Picard groups of orders,” <i>Journal of Algebra</i>, vol. 292, no. 1, pp. 47–64, 2005, doi: <a href=\"https://doi.org/10.1016/j.jalgebra.2005.04.013\">10.1016/j.jalgebra.2005.04.013</a>."},"user_id":"93826","volume":292,"page":"47-64","_id":"34893","publisher":"Elsevier BV","status":"public","type":"journal_article","keyword":["Algebra and Number Theory"],"department":[{"_id":"102"}],"date_created":"2022-12-23T09:41:06Z","abstract":[{"text":"Let K be a global field and O be an order of K. We develop algorithms for the computation of the unit group of residue class rings for ideals O in . As an application we show how to compute the unit group and the Picard group of O provided that we are able to compute the unit group and class group of the maximal order O of K.","lang":"eng"}],"issue":"1","publication":"Journal of Algebra","doi":"10.1016/j.jalgebra.2005.04.013","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-03-06T09:55:09Z","intvolume":"       292","title":"Computing residue class rings and Picard groups of orders","year":"2005","publication_identifier":{"issn":["0021-8693"]},"author":[{"id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners"},{"full_name":"Pauli, Sebastian","first_name":"Sebastian","last_name":"Pauli"}]},{"date_updated":"2023-04-11T08:13:38Z","publication_identifier":{"isbn":["978-3-8322-4003-5"]},"author":[{"full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen","id":"21202"}],"title":"Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)","year":"2005","status":"public","user_id":"93826","language":[{"iso":"ger"}],"_id":"42807","publisher":"Shaker Verlag","page":"114","extern":"1","citation":{"mla":"Klüners, Jürgen. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Shaker Verlag, 2005.","bibtex":"@book{Klüners_2005, place={Universiät Kassel}, title={Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)}, publisher={Shaker Verlag}, author={Klüners, Jürgen}, year={2005} }","ama":"Klüners J. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Shaker Verlag; 2005.","ieee":"J. Klüners, <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Universiät Kassel: Shaker Verlag, 2005.","apa":"Klüners, J. (2005). <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Shaker Verlag.","chicago":"Klüners, Jürgen. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Universiät Kassel: Shaker Verlag, 2005.","short":"J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005."},"department":[{"_id":"102"}],"type":"misc","place":"Universiät Kassel","date_created":"2023-03-07T09:05:29Z"},{"date_updated":"2023-04-11T08:11:24Z","author":[{"full_name":"Kirschmer, Markus","first_name":"Markus","last_name":"Kirschmer","id":"82258"}],"year":"2005","title":"Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)","status":"public","user_id":"93826","_id":"43455","language":[{"iso":"eng"}],"page":"147","extern":"1","citation":{"mla":"Kirschmer, Markus. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>. 2005.","bibtex":"@book{Kirschmer_2005, place={Universität Ulm}, title={Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)}, author={Kirschmer, Markus}, year={2005} }","ama":"Kirschmer M. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>.; 2005.","ieee":"M. Kirschmer, <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>. Universität Ulm, 2005.","apa":"Kirschmer, M. (2005). <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>.","short":"M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit), Universität Ulm, 2005.","chicago":"Kirschmer, Markus. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>. Universität Ulm, 2005."},"department":[{"_id":"102"}],"type":"mastersthesis","date_created":"2023-04-11T08:09:29Z","place":"Universität Ulm"},{"citation":{"mla":"Chaudhuri, I., et al. “Global Optimization of Silicon Nanoclusters.” <i>Applied Surface Science</i>, 2004, pp. 108–13, doi:<a href=\"https://doi.org/10.1016/j.apsusc.2003.11.007\">10.1016/j.apsusc.2003.11.007</a>.","ama":"Chaudhuri I, Sertl S, Hajnal Z, Dellnitz M, Frauenheim T. Global optimization of silicon nanoclusters. <i>Applied Surface Science</i>. 2004:108-113. doi:<a href=\"https://doi.org/10.1016/j.apsusc.2003.11.007\">10.1016/j.apsusc.2003.11.007</a>","bibtex":"@article{Chaudhuri_Sertl_Hajnal_Dellnitz_Frauenheim_2004, title={Global optimization of silicon nanoclusters}, DOI={<a href=\"https://doi.org/10.1016/j.apsusc.2003.11.007\">10.1016/j.apsusc.2003.11.007</a>}, journal={Applied Surface Science}, author={Chaudhuri, I. and Sertl, S. and Hajnal, Z. and Dellnitz, M. and Frauenheim, Th.}, year={2004}, pages={108–113} }","apa":"Chaudhuri, I., Sertl, S., Hajnal, Z., Dellnitz, M., &#38; Frauenheim, T. (2004). Global optimization of silicon nanoclusters. <i>Applied Surface Science</i>, 108–113. <a href=\"https://doi.org/10.1016/j.apsusc.2003.11.007\">https://doi.org/10.1016/j.apsusc.2003.11.007</a>","ieee":"I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, and T. Frauenheim, “Global optimization of silicon nanoclusters,” <i>Applied Surface Science</i>, pp. 108–113, 2004.","short":"I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface Science (2004) 108–113.","chicago":"Chaudhuri, I., S. Sertl, Z. Hajnal, M. Dellnitz, and Th. Frauenheim. “Global Optimization of Silicon Nanoclusters.” <i>Applied Surface Science</i>, 2004, 108–13. <a href=\"https://doi.org/10.1016/j.apsusc.2003.11.007\">https://doi.org/10.1016/j.apsusc.2003.11.007</a>."},"publication":"Applied Surface Science","department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-14T10:08:09Z","date_updated":"2022-01-06T06:52:52Z","publication_status":"published","author":[{"full_name":"Chaudhuri, I.","last_name":"Chaudhuri","first_name":"I."},{"full_name":"Sertl, S.","last_name":"Sertl","first_name":"S."},{"full_name":"Hajnal, Z.","first_name":"Z.","last_name":"Hajnal"},{"full_name":"Dellnitz, M.","last_name":"Dellnitz","first_name":"M."},{"full_name":"Frauenheim, Th.","last_name":"Frauenheim","first_name":"Th."}],"publication_identifier":{"issn":["0169-4332"]},"title":"Global optimization of silicon nanoclusters","year":"2004","status":"public","doi":"10.1016/j.apsusc.2003.11.007","user_id":"15701","_id":"16500","language":[{"iso":"eng"}],"page":"108-113"}]