[{"_id":"16525","language":[{"iso":"eng"}],"doi":"10.1142/9789812702067_0014","user_id":"15701","year":"2005","title":"Towards Automated Chaos Verification","status":"public","author":[{"full_name":"Day, Sarah","last_name":"Day","first_name":"Sarah"},{"last_name":"Junge","first_name":"Oliver","full_name":"Junge, Oliver"},{"full_name":"Mischaikow, Konstantin","last_name":"Mischaikow","first_name":"Konstantin"}],"publication_identifier":{"isbn":["9789812561695","9789812702067"]},"date_updated":"2022-01-06T06:52:52Z","publication_status":"published","date_created":"2020-04-15T08:14:05Z","type":"conference","department":[{"_id":"101"}],"publication":"EQUADIFF 2003","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>","short":"S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.","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>.","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} }","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>","ieee":"S. Day, O. Junge, and K. Mischaikow, “Towards Automated Chaos Verification,” in <i>EQUADIFF 2003</i>, 2005."}},{"publication":"International Journal of Bifurcation and Chaos","citation":{"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>.","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>","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} }","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>","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>.","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."},"abstract":[{"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>","lang":"eng"}],"date_created":"2020-04-15T09:15:58Z","type":"journal_article","department":[{"_id":"101"}],"title":"Transport in Dynamical Astronomy and Multibody Problems","status":"public","year":"2005","author":[{"full_name":"Dellnitz, Michael","first_name":"Michael","last_name":"Dellnitz"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"},{"full_name":"Koon, Wang Sang","first_name":"Wang Sang","last_name":"Koon"},{"first_name":"Francois","last_name":"Lekien","full_name":"Lekien, Francois"},{"last_name":"Lo","first_name":"Martin W.","full_name":"Lo, Martin W."},{"first_name":"Jerrold E.","last_name":"Marsden","full_name":"Marsden, Jerrold E."},{"last_name":"Padberg","first_name":"Kathrin","full_name":"Padberg, Kathrin"},{"first_name":"Robert","last_name":"Preis","full_name":"Preis, Robert"},{"full_name":"Ross, Shane D.","first_name":"Shane D.","last_name":"Ross"},{"full_name":"Thiere, Bianca","last_name":"Thiere","first_name":"Bianca"}],"publication_identifier":{"issn":["0218-1274","1793-6551"]},"publication_status":"published","date_updated":"2022-01-06T06:52:52Z","page":"699-727","language":[{"iso":"eng"}],"_id":"16557","user_id":"15701","doi":"10.1142/s0218127405012545"},{"doi":"10.1103/physrevlett.94.231102","user_id":"15701","_id":"16558","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:52:52Z","publication_status":"published","year":"2005","title":"Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region","status":"public","publication_identifier":{"issn":["0031-9007","1079-7114"]},"author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"full_name":"Junge, Oliver","first_name":"Oliver","last_name":"Junge"},{"first_name":"Martin W.","last_name":"Lo","full_name":"Lo, Martin W."},{"full_name":"Marsden, Jerrold E.","last_name":"Marsden","first_name":"Jerrold E."},{"full_name":"Padberg, Kathrin","last_name":"Padberg","first_name":"Kathrin"},{"full_name":"Preis, Robert","last_name":"Preis","first_name":"Robert"},{"first_name":"Shane D.","last_name":"Ross","full_name":"Ross, Shane D."},{"full_name":"Thiere, Bianca","first_name":"Bianca","last_name":"Thiere"}],"type":"journal_article","department":[{"_id":"101"}],"date_created":"2020-04-15T09:54:54Z","publication":"Physical Review Letters","citation":{"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>","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).","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>.","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>"}},{"publication_status":"published","date_updated":"2022-01-06T06:52:53Z","title":"A set oriented approach to optimal feedback stabilization","year":"2005","status":"public","author":[{"full_name":"Grüne, Lars","last_name":"Grüne","first_name":"Lars"},{"last_name":"Junge","first_name":"Oliver","full_name":"Junge, Oliver"}],"publication_identifier":{"issn":["0167-6911"]},"user_id":"15701","doi":"10.1016/j.sysconle.2004.08.005","page":"169-180","_id":"16613","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>","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>.","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>.","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"},{"user_id":"15701","doi":"10.1142/s0218127405012533","_id":"16627","language":[{"iso":"eng"}],"page":"763-791","publication_status":"published","date_updated":"2022-01-06T06:52:53Z","publication_identifier":{"issn":["0218-1274","1793-6551"]},"author":[{"first_name":"B.","last_name":"Krauskopf","full_name":"Krauskopf, B."},{"full_name":"Osinga, H. M.","first_name":"H. M.","last_name":"Osinga"},{"full_name":"Doedel, E. J.","last_name":"Doedel","first_name":"E. J."},{"full_name":"Henderson, M. E.","first_name":"M. E.","last_name":"Henderson"},{"last_name":"Guckenheimer","first_name":"J.","full_name":"Guckenheimer, J."},{"last_name":"Vladimirsky","first_name":"A.","full_name":"Vladimirsky, A."},{"full_name":"Dellnitz, M.","first_name":"M.","last_name":"Dellnitz"},{"last_name":"Junge","first_name":"O.","full_name":"Junge, O."}],"title":"A Survey of Methods for Computing (un)stable Manifolds of Vector Fields","status":"public","year":"2005","department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-16T08:21:52Z","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>"}],"citation":{"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>","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.","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>.","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>.","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>","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."},"publication":"International Journal of Bifurcation and Chaos"},{"publication_identifier":{"isbn":["0769523129"]},"author":[{"last_name":"Krishnamurthy","first_name":"A.","full_name":"Krishnamurthy, A."},{"full_name":"Preis, R.","first_name":"R.","last_name":"Preis"}],"status":"public","title":"Satellite Formation, a Mobile Sensor Network in Space","year":"2005","publication_status":"published","date_updated":"2022-01-06T06:52:53Z","_id":"16628","user_id":"15701","doi":"10.1109/ipdps.2005.387","citation":{"short":"A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 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>.","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.","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>","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} }","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>","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>."},"publication":"19th IEEE International Parallel and Distributed Processing Symposium","date_created":"2020-04-16T08:22:43Z","department":[{"_id":"101"}],"type":"conference"},{"date_updated":"2022-01-06T06:52:53Z","publication_status":"published","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.","last_name":"Frohieke","first_name":"N."},{"first_name":"J.","last_name":"Becker","full_name":"Becker, J."},{"full_name":"Witting, K.","first_name":"K.","last_name":"Witting"},{"first_name":"M.","last_name":"Dellnitz","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","doi":"10.1109/apec.2005.1452979","user_id":"15701","_id":"16631","citation":{"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.","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.","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>.","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} }"},"publication":"Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. 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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>","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} }","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>."},"external_id":{"arxiv":["math/0411486 "]},"intvolume":"       340","publication_status":"published","date_updated":"2023-03-06T09:15:10Z","publication_identifier":{"issn":["1631-073X"]},"author":[{"id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners"}],"year":"2005","title":"A counter example to Malle's conjecture on the asymptotics of discriminants","doi":"10.1016/j.crma.2005.02.010","language":[{"iso":"eng"}],"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"}],"issue":"6","publication":"Comptes Rendus Mathematique","department":[{"_id":"102"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2022-12-23T09:44:05Z"},{"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>.","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} }","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>","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>.","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>","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>."},"status":"public","volume":292,"user_id":"93826","_id":"34893","publisher":"Elsevier BV","page":"47-64","abstract":[{"lang":"eng","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."}],"issue":"1","publication":"Journal of Algebra","department":[{"_id":"102"}],"keyword":["Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-23T09:41:06Z","intvolume":"       292","publication_status":"published","date_updated":"2023-03-06T09:55:09Z","publication_identifier":{"issn":["0021-8693"]},"author":[{"id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners"},{"full_name":"Pauli, Sebastian","last_name":"Pauli","first_name":"Sebastian"}],"title":"Computing residue class rings and Picard groups of orders","year":"2005","doi":"10.1016/j.jalgebra.2005.04.013","language":[{"iso":"eng"}]},{"citation":{"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.","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.","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.","mla":"Klüners, Jürgen. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)</i>. Shaker Verlag, 2005."},"extern":"1","date_created":"2023-03-07T09:05:29Z","place":"Universiät Kassel","type":"misc","department":[{"_id":"102"}],"title":"Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)","year":"2005","status":"public","author":[{"id":"21202","first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen"}],"publication_identifier":{"isbn":["978-3-8322-4003-5"]},"date_updated":"2023-04-11T08:13:38Z","page":"114","_id":"42807","language":[{"iso":"ger"}],"publisher":"Shaker Verlag","user_id":"93826"},{"user_id":"93826","page":"147","language":[{"iso":"eng"}],"_id":"43455","date_updated":"2023-04-11T08:11:24Z","year":"2005","title":"Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)","status":"public","author":[{"first_name":"Markus","last_name":"Kirschmer","full_name":"Kirschmer, Markus","id":"82258"}],"type":"mastersthesis","department":[{"_id":"102"}],"place":"Universität Ulm","date_created":"2023-04-11T08:09:29Z","extern":"1","citation":{"short":"M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit), Universität Ulm, 2005.","chicago":"Kirschmer, Markus. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>. Universität Ulm, 2005.","apa":"Kirschmer, M. (2005). <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>.","ieee":"M. Kirschmer, <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>. Universität Ulm, 2005.","ama":"Kirschmer M. <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} }","mla":"Kirschmer, Markus. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>. 2005."}}]