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Junge, J.E. Marsden, S. Ober-Blöbaum, in: 45th IEEE Conference on Decision and Control, 2006, pp. 5210–5215.","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.","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.","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.","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.","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."}},{"user_id":"93826","department":[{"_id":"102"}],"_id":"34895","status":"public","type":"journal_article","doi":"10.1515/crll.2004.050","author":[{"last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen"},{"first_name":"G.","last_name":"Malle","full_name":"Malle, G."}],"volume":2004,"date_updated":"2023-03-06T09:11:16Z","citation":{"short":"J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.","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} }","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>.","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>","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>","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>.","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>."},"page":"1-26","intvolume":"      2004","publication_status":"published","publication_identifier":{"issn":["0075-4102","1435-5345"]},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"external_id":{"arxiv":["math/0112318"]},"abstract":[{"lang":"eng","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. "}],"publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","title":"Counting nilpotent Galois extensions","date_created":"2022-12-23T09:50:49Z","publisher":"Walter de Gruyter GmbH","year":"2006","issue":"572"},{"doi":"10.5802/jtnb.561","volume":18,"author":[{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"}],"date_updated":"2023-03-06T09:12:04Z","page":"607-615","intvolume":"        18","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>.","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>","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>.","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} }","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>"},"publication_identifier":{"issn":["1246-7405"]},"publication_status":"published","department":[{"_id":"102"}],"user_id":"93826","_id":"34891","status":"public","type":"journal_article","title":"Asymptotics of number fields and the Cohen–Lenstra heuristics","date_created":"2022-12-23T09:37:01Z","publisher":"Cellule MathDoc/CEDRAM","year":"2006","issue":"3","language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"],"external_id":{"arxiv":["math/0512260 "]},"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. "}],"publication":"Journal de Théorie des Nombres de Bordeaux"},{"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"publication":"Inventiones mathematicae","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"}],"publisher":"Springer Science and Business Media LLC","date_created":"2022-12-23T09:36:15Z","title":"On the 4-rank of class groups of quadratic number fields","issue":"3","year":"2006","_id":"34890","department":[{"_id":"102"}],"user_id":"93826","type":"journal_article","status":"public","date_updated":"2023-03-06T09:12:30Z","volume":167,"author":[{"first_name":"Étienne","full_name":"Fouvry, Étienne","last_name":"Fouvry"},{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"}],"doi":"10.1007/s00222-006-0021-2","publication_identifier":{"issn":["0020-9910","1432-1297"]},"publication_status":"published","related_material":{"link":[{"url":"https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/ranks.pdf","relation":"confirmation"}]},"page":"455-513","intvolume":"       167","citation":{"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>.","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>.","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>","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>","short":"É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.","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} }","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>."}},{"title":"Cohen–Lenstra Heuristics of Quadratic Number Fields","doi":"10.1007/11792086_4","publisher":"Springer Berlin Heidelberg","date_updated":"2023-03-06T09:13:15Z","author":[{"last_name":"Fouvry","full_name":"Fouvry, Étienne","first_name":"Étienne"},{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"}],"date_created":"2023-01-11T09:46:47Z","year":"2006","place":"Berlin, Heidelberg","citation":{"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>","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>.","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.","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>","short":"É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.","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} }","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>."},"publication_status":"published","publication_identifier":{"isbn":["9783540360759","9783540360766"],"issn":["0302-9743","1611-3349"]},"related_material":{"link":[{"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","relation":"confirmation"}]},"language":[{"iso":"eng"}],"_id":"35958","user_id":"93826","department":[{"_id":"102"}],"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."}],"status":"public","type":"book_chapter","publication":"Lecture Notes in Computer Science"},{"abstract":[{"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). ","lang":"eng"}],"publication":"Acta Arithmetica","keyword":["Algebra and Number Theory"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["math/0411484"]},"year":"2006","issue":"2","title":"The number of S₄-fields with given discriminant","publisher":"Institute of Mathematics, Polish Academy of Sciences","date_created":"2022-12-23T09:40:25Z","status":"public","type":"journal_article","_id":"34892","user_id":"93826","department":[{"_id":"102"}],"citation":{"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>","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>.","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>.","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>","short":"J. Klüners, Acta Arithmetica 122 (2006) 185–194.","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} }","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>."},"page":"185-194","intvolume":"       122","publication_status":"published","publication_identifier":{"issn":["0065-1036","1730-6264"]},"doi":"10.4064/aa122-2-3","date_updated":"2023-03-06T09:52:41Z","author":[{"last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen"}],"volume":122},{"publication_status":"published","publication_identifier":{"isbn":["9789812561695","9789812702067"]},"year":"2005","citation":{"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.","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>","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.","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>."},"date_updated":"2022-01-06T06:52:52Z","author":[{"first_name":"Sarah","last_name":"Day","full_name":"Day, Sarah"},{"last_name":"Junge","full_name":"Junge, Oliver","first_name":"Oliver"},{"full_name":"Mischaikow, Konstantin","last_name":"Mischaikow","first_name":"Konstantin"}],"date_created":"2020-04-15T08:14:05Z","title":"Towards Automated Chaos Verification","doi":"10.1142/9789812702067_0014","type":"conference","publication":"EQUADIFF 2003","status":"public","_id":"16525","user_id":"15701","department":[{"_id":"101"}],"language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"_id":"16557","department":[{"_id":"101"}],"user_id":"15701","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>"}],"status":"public","publication":"International Journal of Bifurcation and Chaos","type":"journal_article","title":"Transport in Dynamical Astronomy and Multibody Problems","doi":"10.1142/s0218127405012545","date_updated":"2022-01-06T06:52:52Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"first_name":"Oliver","full_name":"Junge, Oliver","last_name":"Junge"},{"full_name":"Koon, Wang Sang","last_name":"Koon","first_name":"Wang Sang"},{"first_name":"Francois","last_name":"Lekien","full_name":"Lekien, Francois"},{"first_name":"Martin W.","last_name":"Lo","full_name":"Lo, Martin W."},{"last_name":"Marsden","full_name":"Marsden, Jerrold E.","first_name":"Jerrold E."},{"first_name":"Kathrin","last_name":"Padberg","full_name":"Padberg, Kathrin"},{"last_name":"Preis","full_name":"Preis, Robert","first_name":"Robert"},{"first_name":"Shane D.","full_name":"Ross, Shane D.","last_name":"Ross"},{"full_name":"Thiere, Bianca","last_name":"Thiere","first_name":"Bianca"}],"date_created":"2020-04-15T09:15:58Z","year":"2005","page":"699-727","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.","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>.","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>","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>","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.","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} }","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>."},"publication_identifier":{"issn":["0218-1274","1793-6551"]},"publication_status":"published"},{"language":[{"iso":"eng"}],"_id":"16558","user_id":"15701","department":[{"_id":"101"}],"status":"public","type":"journal_article","publication":"Physical Review Letters","title":"Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region","doi":"10.1103/physrevlett.94.231102","date_updated":"2022-01-06T06:52:52Z","date_created":"2020-04-15T09:54:54Z","author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"first_name":"Oliver","full_name":"Junge, Oliver","last_name":"Junge"},{"full_name":"Lo, Martin W.","last_name":"Lo","first_name":"Martin W."},{"last_name":"Marsden","full_name":"Marsden, Jerrold E.","first_name":"Jerrold E."},{"first_name":"Kathrin","full_name":"Padberg, Kathrin","last_name":"Padberg"},{"full_name":"Preis, Robert","last_name":"Preis","first_name":"Robert"},{"first_name":"Shane D.","last_name":"Ross","full_name":"Ross, Shane D."},{"last_name":"Thiere","full_name":"Thiere, Bianca","first_name":"Bianca"}],"year":"2005","citation":{"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>","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} }","short":"M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).","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>.","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>","ieee":"M. Dellnitz <i>et al.</i>, “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region,” <i>Physical Review Letters</i>, 2005.","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>."},"publication_status":"published","publication_identifier":{"issn":["0031-9007","1079-7114"]}},{"user_id":"15701","department":[{"_id":"101"}],"_id":"16613","language":[{"iso":"eng"}],"type":"journal_article","publication":"Systems & Control Letters","status":"public","date_created":"2020-04-16T08:04:26Z","author":[{"first_name":"Lars","last_name":"Grüne","full_name":"Grüne, Lars"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"}],"date_updated":"2022-01-06T06:52:53Z","doi":"10.1016/j.sysconle.2004.08.005","title":"A set oriented approach to optimal feedback stabilization","publication_status":"published","publication_identifier":{"issn":["0167-6911"]},"citation":{"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>","ieee":"L. Grüne and O. Junge, “A set oriented approach to optimal feedback stabilization,” <i>Systems &#38; Control Letters</i>, pp. 169–180, 2005.","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>.","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>","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} }","short":"L. Grüne, O. Junge, Systems &#38; Control Letters (2005) 169–180.","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>."},"page":"169-180","year":"2005"},{"author":[{"last_name":"Krauskopf","full_name":"Krauskopf, B.","first_name":"B."},{"full_name":"Osinga, H. M.","last_name":"Osinga","first_name":"H. M."},{"first_name":"E. J.","last_name":"Doedel","full_name":"Doedel, E. J."},{"last_name":"Henderson","full_name":"Henderson, M. E.","first_name":"M. E."},{"last_name":"Guckenheimer","full_name":"Guckenheimer, J.","first_name":"J."},{"first_name":"A.","full_name":"Vladimirsky, A.","last_name":"Vladimirsky"},{"last_name":"Dellnitz","full_name":"Dellnitz, M.","first_name":"M."},{"first_name":"O.","full_name":"Junge, O.","last_name":"Junge"}],"date_created":"2020-04-16T08:21:52Z","date_updated":"2022-01-06T06:52:53Z","doi":"10.1142/s0218127405012533","title":"A Survey of Methods for Computing (un)stable Manifolds of Vector Fields","publication_identifier":{"issn":["0218-1274","1793-6551"]},"publication_status":"published","page":"763-791","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>.","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.","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} }","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>.","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.","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>"},"year":"2005","department":[{"_id":"101"}],"user_id":"15701","_id":"16627","language":[{"iso":"eng"}],"publication":"International Journal of Bifurcation and Chaos","type":"journal_article","status":"public","abstract":[{"lang":"eng","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>"}]},{"_id":"16628","user_id":"15701","department":[{"_id":"101"}],"type":"conference","publication":"19th IEEE International Parallel and Distributed Processing Symposium","status":"public","date_updated":"2022-01-06T06:52:53Z","author":[{"full_name":"Krishnamurthy, A.","last_name":"Krishnamurthy","first_name":"A."},{"full_name":"Preis, R.","last_name":"Preis","first_name":"R."}],"date_created":"2020-04-16T08:22:43Z","title":"Satellite Formation, a Mobile Sensor Network in Space","doi":"10.1109/ipdps.2005.387","publication_status":"published","publication_identifier":{"isbn":["0769523129"]},"year":"2005","citation":{"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>.","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} }","short":"A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 2005.","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>.","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>"}},{"_id":"16631","user_id":"15701","department":[{"_id":"101"}],"type":"conference","publication":"Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.","status":"public","date_updated":"2022-01-06T06:52:53Z","date_created":"2020-04-16T08:29:47Z","author":[{"last_name":"Li","full_name":"Li, R.","first_name":"R."},{"last_name":"Pottharst","full_name":"Pottharst, A.","first_name":"A."},{"first_name":"N.","last_name":"Frohieke","full_name":"Frohieke, N."},{"last_name":"Becker","full_name":"Becker, J.","first_name":"J."},{"last_name":"Witting","full_name":"Witting, K.","first_name":"K."},{"full_name":"Dellnitz, M.","last_name":"Dellnitz","first_name":"M."},{"last_name":"Znamenshchykov","full_name":"Znamenshchykov, O.","first_name":"O."},{"first_name":"R.","full_name":"Feldmann, R.","last_name":"Feldmann"}],"title":"Design and implementation of a hybrid energy supply system for railway vehicles","doi":"10.1109/apec.2005.1452979","publication_status":"published","publication_identifier":{"isbn":["0780389751"]},"year":"2005","citation":{"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>.","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>","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.","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>.","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>"}},{"publication_identifier":{"issn":["0022-3239","1573-2878"]},"publication_status":"published","page":"113-136","citation":{"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} }","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>.","short":"M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and Applications (2005) 113–136.","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>","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>.","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.","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>"},"year":"2005","date_created":"2020-04-16T10:31:32Z","author":[{"first_name":"M.","full_name":"Dellnitz, M.","last_name":"Dellnitz"},{"first_name":"O.","full_name":"Sch�tze, O.","last_name":"Sch�tze"},{"first_name":"T.","last_name":"Hestermeyer","full_name":"Hestermeyer, T."}],"date_updated":"2022-01-06T06:52:54Z","doi":"10.1007/s10957-004-6468-7","title":"Covering Pareto Sets by Multilevel Subdivision Techniques","publication":"Journal of Optimization Theory and Applications","type":"journal_article","status":"public","department":[{"_id":"101"}],"user_id":"15701","_id":"16684","language":[{"iso":"eng"}]},{"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["math/0411486 "]},"abstract":[{"lang":"eng","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. "}],"publication":"Comptes Rendus Mathematique","title":"A counter example to Malle's conjecture on the asymptotics of discriminants","publisher":"Elsevier BV","date_created":"2022-12-23T09:44:05Z","year":"2005","issue":"6","_id":"34894","department":[{"_id":"102"}],"user_id":"93826","status":"public","type":"journal_article","doi":"10.1016/j.crma.2005.02.010","date_updated":"2023-03-06T09:15:10Z","volume":340,"author":[{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"}],"intvolume":"       340","page":"411-414","citation":{"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>","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>.","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.","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} }"},"publication_identifier":{"issn":["1631-073X"]},"publication_status":"published"},{"publication_status":"published","publication_identifier":{"issn":["0021-8693"]},"citation":{"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.","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} }","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>","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>.","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>.","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>"},"intvolume":"       292","page":"47-64","author":[{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"},{"first_name":"Sebastian","full_name":"Pauli, Sebastian","last_name":"Pauli"}],"volume":292,"date_updated":"2023-03-06T09:55:09Z","doi":"10.1016/j.jalgebra.2005.04.013","type":"journal_article","status":"public","user_id":"93826","department":[{"_id":"102"}],"_id":"34893","issue":"1","year":"2005","date_created":"2022-12-23T09:41:06Z","publisher":"Elsevier BV","title":"Computing residue class rings and Picard groups of orders","publication":"Journal of Algebra","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"}],"language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"]},{"title":"Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)","date_created":"2023-03-07T09:05:29Z","author":[{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"}],"date_updated":"2023-04-11T08:13:38Z","publisher":"Shaker Verlag","page":"114","citation":{"mla":"Klüners, Jürgen. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Shaker Verlag, 2005.","short":"J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 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} }","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.","ieee":"J. Klüners, <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Universiät Kassel: Shaker Verlag, 2005.","ama":"Klüners J. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Shaker Verlag; 2005."},"year":"2005","place":"Universiät Kassel","publication_identifier":{"isbn":["978-3-8322-4003-5"]},"extern":"1","language":[{"iso":"ger"}],"department":[{"_id":"102"}],"user_id":"93826","_id":"42807","status":"public","type":"misc"},{"type":"mastersthesis","status":"public","_id":"43455","user_id":"93826","department":[{"_id":"102"}],"language":[{"iso":"eng"}],"extern":"1","place":"Universität Ulm","year":"2005","citation":{"bibtex":"@book{Kirschmer_2005, place={Universität Ulm}, title={Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)}, author={Kirschmer, Markus}, year={2005} }","mla":"Kirschmer, Markus. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>. 2005.","short":"M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit), Universität Ulm, 2005.","apa":"Kirschmer, M. 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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>"},"page":"108-113","year":"2004","author":[{"last_name":"Chaudhuri","full_name":"Chaudhuri, I.","first_name":"I."},{"full_name":"Sertl, S.","last_name":"Sertl","first_name":"S."},{"first_name":"Z.","last_name":"Hajnal","full_name":"Hajnal, Z."},{"first_name":"M.","last_name":"Dellnitz","full_name":"Dellnitz, M."},{"full_name":"Frauenheim, Th.","last_name":"Frauenheim","first_name":"Th."}],"date_created":"2020-04-14T10:08:09Z","date_updated":"2022-01-06T06:52:52Z","doi":"10.1016/j.apsusc.2003.11.007","title":"Global optimization of silicon nanoclusters"},{"language":[{"iso":"eng"}],"department":[{"_id":"101"}],"user_id":"15701","_id":"16521","status":"public","publication":"Theoretical Computer Science","type":"journal_article","doi":"10.1016/j.tcs.2004.03.059","title":"New spectral lower bounds on the bisection width of graphs","date_created":"2020-04-15T08:05:40Z","author":[{"last_name":"Bezrukov","full_name":"Bezrukov, S.","first_name":"S."},{"full_name":"Elsässer, R.","last_name":"Elsässer","first_name":"R."},{"last_name":"Monien","full_name":"Monien, B.","first_name":"B."},{"full_name":"Preis, R.","last_name":"Preis","first_name":"R."},{"first_name":"J.-P.","full_name":"Tillich, J.-P.","last_name":"Tillich"}],"date_updated":"2022-01-06T06:52:52Z","page":"155-174","citation":{"chicago":"Bezrukov, S., R. 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Tillich, Theoretical Computer Science (2004) 155–174.","mla":"Bezrukov, S., et al. “New Spectral Lower Bounds on the Bisection Width of Graphs.” <i>Theoretical Computer Science</i>, 2004, pp. 155–74, doi:<a href=\"https://doi.org/10.1016/j.tcs.2004.03.059\">10.1016/j.tcs.2004.03.059</a>.","bibtex":"@article{Bezrukov_Elsässer_Monien_Preis_Tillich_2004, title={New spectral lower bounds on the bisection width of graphs}, DOI={<a href=\"https://doi.org/10.1016/j.tcs.2004.03.059\">10.1016/j.tcs.2004.03.059</a>}, journal={Theoretical Computer Science}, author={Bezrukov, S. and Elsässer, R. and Monien, B. and Preis, R. and Tillich, J.-P.}, year={2004}, pages={155–174} }","apa":"Bezrukov, S., Elsässer, R., Monien, B., Preis, R., &#38; Tillich, J.-P. (2004). New spectral lower bounds on the bisection width of graphs. <i>Theoretical Computer Science</i>, 155–174. <a href=\"https://doi.org/10.1016/j.tcs.2004.03.059\">https://doi.org/10.1016/j.tcs.2004.03.059</a>"},"year":"2004","publication_identifier":{"issn":["0304-3975"]},"publication_status":"published"}]