@inproceedings{29488,
  author       = {{Junge, O. and Marsden, J.E. and Ober-Blöbaum, Sina}},
  booktitle    = {{45th IEEE Conference on Decision and Control}},
  location     = {{San Diego, CA, USA}},
  pages        = {{5210--5215}},
  title        = {{{Optimal reconfiguration of formation flying spacecraft - a decentralized approach}}},
  year         = {{2006}},
}

@article{34895,
  abstract     = {{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. }},
  author       = {{Klüners, Jürgen and Malle, G.}},
  issn         = {{0075-4102}},
  journal      = {{Journal für die reine und angewandte Mathematik (Crelles Journal)}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{572}},
  pages        = {{1--26}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Counting nilpotent Galois extensions}}},
  doi          = {{10.1515/crll.2004.050}},
  volume       = {{2004}},
  year         = {{2006}},
}

@article{34891,
  abstract     = {{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. }},
  author       = {{Klüners, Jürgen}},
  issn         = {{1246-7405}},
  journal      = {{Journal de Théorie des Nombres de Bordeaux}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{607--615}},
  publisher    = {{Cellule MathDoc/CEDRAM}},
  title        = {{{Asymptotics of number fields and the Cohen–Lenstra heuristics}}},
  doi          = {{10.5802/jtnb.561}},
  volume       = {{18}},
  year         = {{2006}},
}

@article{34890,
  abstract     = {{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. }},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{0020-9910}},
  journal      = {{Inventiones mathematicae}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{455--513}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{On the 4-rank of class groups of quadratic number fields}}},
  doi          = {{10.1007/s00222-006-0021-2}},
  volume       = {{167}},
  year         = {{2006}},
}

@inbook{35958,
  abstract     = {{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.}},
  author       = {{Fouvry, Étienne and Klüners, Jürgen}},
  booktitle    = {{Lecture Notes in Computer Science}},
  isbn         = {{9783540360759}},
  issn         = {{0302-9743}},
  publisher    = {{Springer Berlin Heidelberg}},
  title        = {{{Cohen–Lenstra Heuristics of Quadratic Number Fields}}},
  doi          = {{10.1007/11792086_4}},
  year         = {{2006}},
}

@article{34892,
  abstract     = {{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). }},
  author       = {{Klüners, Jürgen}},
  issn         = {{0065-1036}},
  journal      = {{Acta Arithmetica}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{2}},
  pages        = {{185--194}},
  publisher    = {{Institute of Mathematics, Polish Academy of Sciences}},
  title        = {{{The number of S₄-fields with given discriminant}}},
  doi          = {{10.4064/aa122-2-3}},
  volume       = {{122}},
  year         = {{2006}},
}

@inproceedings{16525,
  author       = {{Day, Sarah and Junge, Oliver and Mischaikow, Konstantin}},
  booktitle    = {{EQUADIFF 2003}},
  isbn         = {{9789812561695}},
  title        = {{{Towards Automated Chaos Verification}}},
  doi          = {{10.1142/9789812702067_0014}},
  year         = {{2005}},
}

@article{16557,
  abstract     = {{<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>}},
  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}},
  issn         = {{0218-1274}},
  journal      = {{International Journal of Bifurcation and Chaos}},
  pages        = {{699--727}},
  title        = {{{Transport in Dynamical Astronomy and Multibody Problems}}},
  doi          = {{10.1142/s0218127405012545}},
  year         = {{2005}},
}

@article{16558,
  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}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  title        = {{{Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region}}},
  doi          = {{10.1103/physrevlett.94.231102}},
  year         = {{2005}},
}

@article{16613,
  author       = {{Grüne, Lars and Junge, Oliver}},
  issn         = {{0167-6911}},
  journal      = {{Systems & Control Letters}},
  pages        = {{169--180}},
  title        = {{{A set oriented approach to optimal feedback stabilization}}},
  doi          = {{10.1016/j.sysconle.2004.08.005}},
  year         = {{2005}},
}

@article{16627,
  abstract     = {{<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>}},
  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.}},
  issn         = {{0218-1274}},
  journal      = {{International Journal of Bifurcation and Chaos}},
  pages        = {{763--791}},
  title        = {{{A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}}},
  doi          = {{10.1142/s0218127405012533}},
  year         = {{2005}},
}

@inproceedings{16628,
  author       = {{Krishnamurthy, A. and Preis, R.}},
  booktitle    = {{19th IEEE International Parallel and Distributed Processing Symposium}},
  isbn         = {{0769523129}},
  title        = {{{Satellite Formation, a Mobile Sensor Network in Space}}},
  doi          = {{10.1109/ipdps.2005.387}},
  year         = {{2005}},
}

@inproceedings{16631,
  author       = {{Li, R. and Pottharst, A. and Frohieke, N. and Becker, J. and Witting, K. and Dellnitz, M. and Znamenshchykov, O. and Feldmann, R.}},
  booktitle    = {{Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.}},
  isbn         = {{0780389751}},
  title        = {{{Design and implementation of a hybrid energy supply system for railway vehicles}}},
  doi          = {{10.1109/apec.2005.1452979}},
  year         = {{2005}},
}

@article{16684,
  author       = {{Dellnitz, M. and Sch�tze, O. and Hestermeyer, T.}},
  issn         = {{0022-3239}},
  journal      = {{Journal of Optimization Theory and Applications}},
  pages        = {{113--136}},
  title        = {{{Covering Pareto Sets by Multilevel Subdivision Techniques}}},
  doi          = {{10.1007/s10957-004-6468-7}},
  year         = {{2005}},
}

@article{34894,
  abstract     = {{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. }},
  author       = {{Klüners, Jürgen}},
  issn         = {{1631-073X}},
  journal      = {{Comptes Rendus Mathematique}},
  keywords     = {{General Mathematics}},
  number       = {{6}},
  pages        = {{411--414}},
  publisher    = {{Elsevier BV}},
  title        = {{{A counter example to Malle's conjecture on the asymptotics of discriminants}}},
  doi          = {{10.1016/j.crma.2005.02.010}},
  volume       = {{340}},
  year         = {{2005}},
}

@article{34893,
  abstract     = {{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.}},
  author       = {{Klüners, Jürgen and Pauli, Sebastian}},
  issn         = {{0021-8693}},
  journal      = {{Journal of Algebra}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{1}},
  pages        = {{47--64}},
  publisher    = {{Elsevier BV}},
  title        = {{{Computing residue class rings and Picard groups of orders}}},
  doi          = {{10.1016/j.jalgebra.2005.04.013}},
  volume       = {{292}},
  year         = {{2005}},
}

@misc{42807,
  author       = {{Klüners, Jürgen}},
  isbn         = {{978-3-8322-4003-5}},
  pages        = {{114}},
  publisher    = {{Shaker Verlag}},
  title        = {{{Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)}}},
  year         = {{2005}},
}

@misc{43455,
  author       = {{Kirschmer, Markus}},
  pages        = {{147}},
  title        = {{{Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)}}},
  year         = {{2005}},
}

@article{16500,
  author       = {{Chaudhuri, I. and Sertl, S. and Hajnal, Z. and Dellnitz, M. and Frauenheim, Th.}},
  issn         = {{0169-4332}},
  journal      = {{Applied Surface Science}},
  pages        = {{108--113}},
  title        = {{{Global optimization of silicon nanoclusters}}},
  doi          = {{10.1016/j.apsusc.2003.11.007}},
  year         = {{2004}},
}

@article{16521,
  author       = {{Bezrukov, S. and Elsässer, R. and Monien, B. and Preis, R. and Tillich, J.-P.}},
  issn         = {{0304-3975}},
  journal      = {{Theoretical Computer Science}},
  pages        = {{155--174}},
  title        = {{{New spectral lower bounds on the bisection width of graphs}}},
  doi          = {{10.1016/j.tcs.2004.03.059}},
  year         = {{2004}},
}