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458 Publications
2006 | Journal Article | LibreCat-ID: 16632
Symmetry of attractors and the Perron-Frobenius operator
P.G. Mehta, M. Hessel-von Molo, M. Dellnitz, Journal of Difference Equations and Applications (2006) 1147–1178.
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| DOI
P.G. Mehta, M. Hessel-von Molo, M. Dellnitz, Journal of Difference Equations and Applications (2006) 1147–1178.
2006 | Journal Article | LibreCat-ID: 16641
Upper bounds on the Bisection Width of 3- and 4-regular Graphs
B. Monien, R. Preis, Journal of Discrete Algorithms (2006) 475–498.
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| DOI
B. Monien, R. Preis, Journal of Discrete Algorithms (2006) 475–498.
2006 | Journal Article | LibreCat-ID: 16671
Global Optimization using a Dynamical Systems Approach
S. Sertl, M. Dellnitz, Journal of Global Optimization (2006) 569–587.
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| DOI
S. Sertl, M. Dellnitz, Journal of Global Optimization (2006) 569–587.
2006 | Journal Article | LibreCat-ID: 16674
Return Time Dynamics as a Tool for Finding Almost Invariant Sets
B. Thiere, Annals of the New York Academy of Sciences (2006) 44–54.
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| DOI
B. Thiere, Annals of the New York Academy of Sciences (2006) 44–54.
2006 | Book Chapter | LibreCat-ID: 20056
Efficient Control of Formation Flying Spacecraft
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 & Distributed Computing, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.
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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 & Distributed Computing, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.
2006 | Conference Paper | LibreCat-ID: 29488
Optimal reconfiguration of formation flying spacecraft - a decentralized approach
O. Junge, J.E. Marsden, S. Ober-Blöbaum, in: 45th IEEE Conference on Decision and Control, 2006, pp. 5210–5215.
LibreCat
O. Junge, J.E. Marsden, S. Ober-Blöbaum, in: 45th IEEE Conference on Decision and Control, 2006, pp. 5210–5215.
2006 | Journal Article | LibreCat-ID: 34895
Counting nilpotent Galois extensions
J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.
LibreCat
| DOI
| arXiv
J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.
2006 | Journal Article | LibreCat-ID: 34891
Asymptotics of number fields and the Cohen–Lenstra heuristics
J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
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| DOI
| arXiv
J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
2006 | Journal Article | LibreCat-ID: 34890
On the 4-rank of class groups of quadratic number fields
É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
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| Files available
| DOI
É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
2006 | Book Chapter | LibreCat-ID: 35958
Cohen–Lenstra Heuristics of Quadratic Number Fields
É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.
LibreCat
| Files available
| DOI
É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.
2006 | Journal Article | LibreCat-ID: 34892
The number of S₄-fields with given discriminant
J. Klüners, Acta Arithmetica 122 (2006) 185–194.
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| DOI
| arXiv
J. Klüners, Acta Arithmetica 122 (2006) 185–194.
2005 | Conference Paper | LibreCat-ID: 16525
Towards Automated Chaos Verification
S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.
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| DOI
S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.
2005 | Journal Article | LibreCat-ID: 16557
Transport in Dynamical Astronomy and Multibody Problems
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.
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| DOI
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.
2005 | Journal Article | LibreCat-ID: 16558
Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region
M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).
LibreCat
| DOI
M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).
2005 | Journal Article | LibreCat-ID: 16613
A set oriented approach to optimal feedback stabilization
L. Grüne, O. Junge, Systems & Control Letters (2005) 169–180.
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| DOI
L. Grüne, O. Junge, Systems & Control Letters (2005) 169–180.
2005 | Journal Article | LibreCat-ID: 16627
A Survey of Methods for Computing (un)stable Manifolds of Vector Fields
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.
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| DOI
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.
2005 | Conference Paper | LibreCat-ID: 16628
Satellite Formation, a Mobile Sensor Network in Space
A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 2005.
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| DOI
A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 2005.
2005 | Conference Paper | LibreCat-ID: 16631
Design and implementation of a hybrid energy supply system for railway vehicles
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.
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| DOI
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.
2005 | Journal Article | LibreCat-ID: 16684
Covering Pareto Sets by Multilevel Subdivision Techniques
M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and Applications (2005) 113–136.
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| DOI
M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and Applications (2005) 113–136.
2005 | Journal Article | LibreCat-ID: 34894
A counter example to Malle's conjecture on the asymptotics of discriminants
J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
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| DOI
| arXiv
J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
2005 | Journal Article | LibreCat-ID: 34893
Computing residue class rings and Picard groups of orders
J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.
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| DOI
J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.
2005 | Misc | LibreCat-ID: 42807
Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005.
LibreCat
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005.
2005 | Mastersthesis | LibreCat-ID: 43455
Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)
M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit), Universität Ulm, 2005.
LibreCat
M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit), Universität Ulm, 2005.
2004 | Journal Article | LibreCat-ID: 16500
Global optimization of silicon nanoclusters
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface Science (2004) 108–113.
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| DOI
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface Science (2004) 108–113.
2004 | Journal Article | LibreCat-ID: 16521
New spectral lower bounds on the bisection width of graphs
S. Bezrukov, R. Elsässer, B. Monien, R. Preis, J.-P. Tillich, Theoretical Computer Science (2004) 155–174.
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| DOI
S. Bezrukov, R. Elsässer, B. Monien, R. Preis, J.-P. Tillich, Theoretical Computer Science (2004) 155–174.
2004 | Journal Article | LibreCat-ID: 16527
A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems
S. Day, O. Junge, K. Mischaikow, SIAM Journal on Applied Dynamical Systems (2004) 117–160.
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| DOI
S. Day, O. Junge, K. Mischaikow, SIAM Journal on Applied Dynamical Systems (2004) 117–160.
2004 | Journal Article | LibreCat-ID: 16587
Optimal Diffusion Schemes and Load Balancing on Product Graphs
R. Elsässer, B. Monien, R. Preis, A. Frommer, Parallel Processing Letters (2004) 61–73.
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| DOI
R. Elsässer, B. Monien, R. Preis, A. Frommer, Parallel Processing Letters (2004) 61–73.
2004 | Journal Article | LibreCat-ID: 16619
A set oriented approach to global optimal control
O. Junge, H.M. Osinga, ESAIM: Control, Optimisation and Calculus of Variations (2004) 259–270.
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| DOI
O. Junge, H.M. Osinga, ESAIM: Control, Optimisation and Calculus of Variations (2004) 259–270.
2004 | Conference Paper | LibreCat-ID: 16620
Uncertainty in the dynamics of conservative maps
O. Junge, J.E. Marsden, I. Mezic, in: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004.
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| DOI
O. Junge, J.E. Marsden, I. Mezic, in: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004.
2003 | Journal Article | LibreCat-ID: 16498
Computation of the dominant Lyapunov exponent via spatial integration using matrix norms
P.J. Aston, M. Dellnitz, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (2003) 2933–2955.
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| DOI
P.J. Aston, M. Dellnitz, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (2003) 2933–2955.
2003 | Book Chapter | LibreCat-ID: 16543
Congestion and Almost Invariant Sets in Dynamical Systems
M. Dellnitz, R. Preis, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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| DOI
M. Dellnitz, R. Preis, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
2003 | Journal Article | LibreCat-ID: 16600
Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
G. Froyland, M. Dellnitz, SIAM Journal on Scientific Computing (2003) 1839–1863.
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| DOI
G. Froyland, M. Dellnitz, SIAM Journal on Scientific Computing (2003) 1839–1863.
2003 | Book Chapter | LibreCat-ID: 16664
A New Data Structure for the Nondominance Problem in Multi-objective Optimization
O. Schütze, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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| DOI
O. Schütze, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
2003 | Book Chapter | LibreCat-ID: 16665
Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques
O. Schütze, S. Mostaghim, M. Dellnitz, J. Teich, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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| DOI
O. Schütze, S. Mostaghim, M. Dellnitz, J. Teich, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
2003 | Journal Article | LibreCat-ID: 34896
Minimal discriminants for fields with small Frobenius groups as Galois groups
C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.
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| DOI
C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.
2002 | Book Chapter | LibreCat-ID: 16538
Set Oriented Numerical Methods for Dynamical Systems
M. Dellnitz, O. Junge, in: Handbook of Dynamical Systems, 2002.
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| DOI
M. Dellnitz, O. Junge, in: Handbook of Dynamical Systems, 2002.
2002 | Journal Article | LibreCat-ID: 16556
Finding zeros by multilevel subdivision techniques
M. Dellnitz, IMA Journal of Numerical Analysis (2002) 167–185.
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| DOI
M. Dellnitz, IMA Journal of Numerical Analysis (2002) 167–185.
2002 | Journal Article | LibreCat-ID: 16586
Diffusion Schemes for Load Balancing on Heterogeneous Networks
R. Elsässer, B. Monien, R. Preis, Theory of Computing Systems (2002) 305–320.
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| DOI
R. Elsässer, B. Monien, R. Preis, Theory of Computing Systems (2002) 305–320.
2002 | Journal Article | LibreCat-ID: 35954
Algorithms for function fields
J. Klüners, Experiment. Math. 11 (2002) 171–181.
LibreCat
| Files available
J. Klüners, Experiment. Math. 11 (2002) 171–181.
2001 | Book Chapter | LibreCat-ID: 16555
The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems
M. Dellnitz, G. Froyland, O. Junge, in: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Berlin, Heidelberg, 2001.
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| DOI
M. Dellnitz, G. Froyland, O. Junge, in: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Berlin, Heidelberg, 2001.
2001 | Book Chapter | LibreCat-ID: 16598
Extracting Dynamical Behavior via Markov Models
G. Froyland, in: Nonlinear Dynamics and Statistics, Boston, MA, 2001.
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| DOI
G. Froyland, in: Nonlinear Dynamics and Statistics, Boston, MA, 2001.
2001 | Journal Article | LibreCat-ID: 16601
Rigorous computation of topological entropy with respect to a finite partition
G. Froyland, O. Junge, G. Ochs, Physica D: Nonlinear Phenomena (2001) 68–84.
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| DOI
G. Froyland, O. Junge, G. Ochs, Physica D: Nonlinear Phenomena (2001) 68–84.
2001 | Journal Article | LibreCat-ID: 16617
An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence
O. Junge, Dynamical Systems (2001) 213–222.
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| DOI
O. Junge, Dynamical Systems (2001) 213–222.
2001 | Journal Article | LibreCat-ID: 34897
A Database for Field Extensions of the Rationals
J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001) 182–196.
LibreCat
| DOI
| arXiv
J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001) 182–196.
2000 | Book Chapter | LibreCat-ID: 16513
The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms
P.J. Aston, M. Dellnitz, in: Equadiff 99, 2000.
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| DOI
P.J. Aston, M. Dellnitz, in: Equadiff 99, 2000.
2000 | Book Chapter | LibreCat-ID: 16553
A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator
M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.
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| DOI
M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.
2000 | Journal Article | LibreCat-ID: 16554
On the isolated spectrum of the Perron-Frobenius operator
M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.
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| DOI
M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.
2000 | Book Chapter | LibreCat-ID: 16616
Rigorous discretization of subdivision techniques
O. Junge, in: Equadiff 99, 2000.
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| DOI
O. Junge, in: Equadiff 99, 2000.
2000 | Book Chapter | LibreCat-ID: 17018
The computation of an unstable invariant set inside a cylinder containing a knotted flow
M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp. 1053--1059.
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| DOI
M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp. 1053--1059.
2000 | Journal Article | LibreCat-ID: 34900
Galois Group Computation for Rational Polynomials
K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
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| DOI
K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.