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1306 Publications


2010 | Conference Paper | LibreCat-ID: 29496
Computation of derivatives for structure preserving optimal control using automatic differentiation
S. Ober-Blöbaum, A. Walther, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 585–586.
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2010 | Conference Paper | LibreCat-ID: 29495
Solving optimal control problems by using inherent dynamical properties
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, in: Proceedings of Applied Mathematics and Mechanics, 2010, pp. 577–578.
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2010 | Journal Article | LibreCat-ID: 39924
Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC
M. Rösler, Journal of Functional Analysis 258 (2010) 2779–2800.
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2010 | Journal Article | LibreCat-ID: 34886
On the negative Pell equation
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
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2010 | Journal Article | LibreCat-ID: 34888
The parity of the period of the continued fraction of d
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
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2010 | Journal Article | LibreCat-ID: 34887
On the Spiegelungssatz for the 4-rank
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
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2010 | Journal Article | LibreCat-ID: 42803
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
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2010 | Journal Article | LibreCat-ID: 51402
Chevalley's Restriction Theorem for Reductive Symmetric Superpairs
J. Hilgert, M. Zirnbauer, A. Alldridge, J. Algebra 323 (2010) 1159–1185.
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2010 | Journal Article | LibreCat-ID: 51401
Invariant Berezin integration on homogeneous supermanifolds
J. Hilgert, A. Alldridge, J. Lie Theory 20 (2010) 65–91.
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2009 | Journal Article | LibreCat-ID: 16499
A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009) 303–362.
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2009 | Conference Paper | LibreCat-ID: 16524
Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.
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2009 | Journal Article | LibreCat-ID: 16545
Computation of robust Pareto points
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
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2009 | Journal Article | LibreCat-ID: 16572
On the Approximation of Transport Phenomena - a Dynamical Systems Approach
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg, GAMM-Mitteilungen (2009) 47–60.
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2009 | Journal Article | LibreCat-ID: 16573
Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, A. Sen Gupta, Nonlinear Processes in Geophysics (2009) 655–663.
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2009 | Journal Article | LibreCat-ID: 16574
A multi-objective approach to the design of low thrust space trajectories using optimal control
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2009) 33–59.
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2009 | Journal Article | LibreCat-ID: 16636
Symmetries in Timed Continuous Petri Nets
A. Meyer, M. Dellnitz, IFAC Proceedings Volumes (2009) 68–73.
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2009 | Journal Article | LibreCat-ID: 16649
Local expansion concepts for detecting transport barriers in dynamical systems
K. Padberg, B. Thiere, R. Preis, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2009) 4176–4190.
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2009 | Conference Paper | LibreCat-ID: 16661
Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors
C. Romaus, J. Bocker, K. Witting, A. Seifried, O. Znamenshchykov, in: 2009 IEEE Energy Conversion Congress and Exposition, 2009.
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2009 | Conference Paper | LibreCat-ID: 16663
Energy transfer via linear doubly-fed motor in different operating modes
T. Schneider, B. Schulz, C. Henke, K. Witting, D. Steenken, J. Bocker, in: 2009 IEEE International Electric Machines and Drives Conference, 2009.
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2009 | Journal Article | LibreCat-ID: 16669
Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, D. Izzo, Engineering Optimization (2009) 155–181.
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2009 | Conference Paper | LibreCat-ID: 16695
Multi-objective shape optimization for piezoceramics
F. Wang, M. Dellnitz, in: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
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2009 | Journal Article | LibreCat-ID: 29412
A multi-objective approach to the design of low thrust space trajectories using optimal control
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy 105 (2009) 33–59.
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2009 | Conference Paper | LibreCat-ID: 29470
The Jacobi-Maupertuis principle in variational integrators
S. Nair, S. Ober-Blöbaum, J.E. Marsden, in: 7th International Conference of Numerical Analysis and Applied Mathematics, 2009, pp. 464–466.
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2009 | Conference Paper | LibreCat-ID: 29471
Application of discrete mechanics and optimal control to spacecraft in non-Keplerian motion around small solar systems
M. Gehler, S. Ober-Blöbaum, B. Dachwald, in: Procceedings of the 60th International Astronautical Congress, 2009.
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2009 | Conference Paper | LibreCat-ID: 29473
Optimization of spacecraft trajectories: a method combining invariant manifold techniques and descrete mechanics and optimal
A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 19th AAS/AIAA Space Flight Mechanics Meeting, 2009.
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2009 | Conference Paper | LibreCat-ID: 29472
Optimal control of gravity tractor spacecraft near arbitrarily shaped asteroids
M. Gehler, S. Ober-Blöbaum, B. Dachwald, J.E. Marsden, in: 1st IAA Planetary Defense Conference: Protecting Earth from Asteroids, 2009.
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2009 | Journal Article | LibreCat-ID: 37500
ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS
A. Bassi, D. Dürr, M. Kolb, Reviews in Mathematical Physics 22 (2009) 55–89.
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2009 | Conference Paper | LibreCat-ID: 39950
Convolution algebras for multivariable Bessel functions
M. Rösler, in: Infinite Dimensional Harmonic Analysis IV, World Scientific, 2009, pp. 255–271.
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2009 | Journal Article | LibreCat-ID: 34889
Factoring polynomials over global fields
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
LibreCat | DOI | arXiv
 

2009 | Book Chapter | LibreCat-ID: 35959
The van Hoeij Algorithm for Factoring Polynomials
J. Klüners, in: The LLL Algorithm, Springer Berlin Heidelberg, Berlin, Heidelberg, 2009.
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2009 | Dissertation | LibreCat-ID: 43453
Finite symplectic matrix groups (Dissertation)
M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.
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2009 | Journal Article | LibreCat-ID: 51404
Resonances and Residue Operators for Symmetric Spaces of Rank One
J. Hilgert, A. Pasquale, J. Math. Pures Appl. 91 (2009) 495–507.
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2009 | Journal Article | LibreCat-ID: 51403
Asymptotic K-support and Restrictions of Representations
J. Hilgert, S. Keliny, S. Hansen, Representation Theory 13 (2009) 460–469.
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2009 | Journal Article | LibreCat-ID: 51405
Segal-Bargmann and Weyl Transforms on Compact Groups
J. Hilgert, G. Zhang, Monatsh. Math. 158 (2009) 85–305.
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2009 | Book Chapter | LibreCat-ID: 51467
Symbolic Dynamics for the Geodesic Flow on Locally Symmetric Orbifolds of Rank One
J. Hilgert, A. Pohl, in: J. Hilgert , et al. (Eds.), Infinite Dimensional Harmonic Analysis IV, World Scientific, Singapore, 2009.
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2009 | Preprint | LibreCat-ID: 51541
Orthogonal polynomials associated to a certain fourth order differential equation
J. Hilgert, T. Kobayashi, G. Mano, J. Möllers, (2009).
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2009 | Preprint | LibreCat-ID: 51542
Special functions associated to a certain fourth order differential equation
J. Hilgert, T. Kobayashi, G. Mano, J. Möllers, (2009).
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2009 | Preprint | LibreCat-ID: 51540 LibreCat | Download (ext.)
 

2009 | Preprint | LibreCat-ID: 51539 LibreCat | Download (ext.)
 

2009 | Preprint | LibreCat-ID: 51543
Asymptotic K-Support and Restrictions of Representations
J. Hilgert, S. Hansen, S. Keliny, (2009).
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2009 | Book (Editor) | LibreCat-ID: 51590
Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability
J. Hilgert, A. Hora, T. Kawazoe, K. Nishiyama, M. Voit, eds., Infinite Dimensional Harmonic Analysis IV - On the Interplay between Representation Theory, Random Matrices, Special Functions, and Probability, World Scientific, 2009.
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2008 | Journal Article | LibreCat-ID: 16610
Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle
M.S.J. Geisler, D.-M.K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2008) 4380–4386.
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2008 | Conference Paper | LibreCat-ID: 16623
Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems
B. Klöpper, H. Podlogar, J. Gausemeier, K. Witting, in: 2008 19th International Conference on Database and Expert Systems Applications, 2008.
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2008 | Journal Article | LibreCat-ID: 16667
Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems
O. Schütze, C.A. Coello Coello, S. Mostaghim, E.-G. Talbi, M. Dellnitz, Engineering Optimization (2008) 383–402.
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2008 | Journal Article | LibreCat-ID: 16668
Convergence of stochastic search algorithms to finite size pareto set approximations
O. Schütze, M. Laumanns, C.A. Coello Coello, M. Dellnitz, E.-G. Talbi, Journal of Global Optimization (2008) 559–577.
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2008 | Journal Article | LibreCat-ID: 16678
A new approach for online multiobjective optimization of mechatronic systems
K. Witting, B. Schulz, M. Dellnitz, J. Böcker, N. Fröhleke, International Journal on Software Tools for Technology Transfer (2008) 223–231.
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2008 | Conference Paper | LibreCat-ID: 17031
Self-Optimization of the Guidance Module of a Rail-bound Vehicle
J. Geisler, K. Witting, A. Trächtler, M. Dellnitz, in: 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
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2008 | Conference Paper | LibreCat-ID: 29474
Optimal trajectory generation for a dynamic glider in ocean flows modeled by 3d B-spline functions
W. Zhang, T. Inanc, S. Ober-Blöbaum, J.E. Marsden, in: IEEE International Conference on Robotics and Automation, 2008.
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2008 | Journal Article | LibreCat-ID: 39941
A Limit Relation for Dunkl-Bessel Functions of Type A and B
M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 4 (2008) 9pp.
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2008 | Journal Article | LibreCat-ID: 44350
Cluster tilting for one–dimensional hypersurface singularities
I. Burban, O. Iyama, B. Keller, I. Reiten, Advances in Mathematics 217 (2008) 2443–2484.
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2008 | Book Chapter | LibreCat-ID: 44530
Maximal Cohen-Macaulay modules over surface singularities
I. Burban, Yu. Drozd, in: Trends in Representations of Algebras and Related Topics, EMS Publishing House, 2008, pp. 101–160.
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2008 | Journal Article | LibreCat-ID: 51407
Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators
J. Hilgert, F. Rilke, J. Funct. Anal. 254 (2008) 476–505.
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2008 | Journal Article | LibreCat-ID: 51406
Mayer's Transfer Operator and Representations of SL(2)
J. Hilgert, Semigroup Forum 77 (2008) 64–85.
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2008 | Preprint | LibreCat-ID: 51546 LibreCat | Download (ext.)
 

2008 | Preprint | LibreCat-ID: 51544
Chevalley's restriction theorem for reductive symmetric superpairs
J. Hilgert, A. Alldridge, M. Zirnbauer, (2008).
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2008 | Preprint | LibreCat-ID: 51545 LibreCat | Download (ext.)
 

2008 | Book Review | LibreCat-ID: 51602 LibreCat
 

2007 | Conference Paper | LibreCat-ID: 16561
Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems
M. Dellnitz, K. Padberg, M. Post, B. Thiere, in: AIP Conference Proceedings, 2007.
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2007 | Journal Article | LibreCat-ID: 16602
Detection of Coherent Oceanic Structures via Transfer Operators
G. Froyland, K. Padberg, M.H. England, A.M. Treguier, Physical Review Letters (2007).
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2007 | Journal Article | LibreCat-ID: 16612
Global Optimal Control of Perturbed Systems
L. Grüne, O. Junge, Journal of Optimization Theory and Applications (2007) 411–429.
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2007 | Conference Paper | LibreCat-ID: 16630
Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, in: Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
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2007 | Book Chapter | LibreCat-ID: 16640
Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs
B. Monien, R. Preis, in: Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.
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2007 | Journal Article | LibreCat-ID: 16648
Lagrangian structures and transport in turbulent magnetized plasmas
K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.
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2007 | Book Chapter | LibreCat-ID: 16658
Approximation Algorithms for Multilevel Graph Partitioning
R. Preis, B. Monien, S. Schamberger, in: Handbook of Approximation Algorithms and Metaheuristics, 2007.
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2007 | Conference Paper | LibreCat-ID: 16666
A Memetic PSO Algorithm for Scalar Optimization Problems
O. Schütze, E. Talbi, G.T. Pulido, C.C. Coello, L.V. Santana-Quintero, in: 2007 IEEE Swarm Intelligence Symposium, 2007.
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2007 | Report | LibreCat-ID: 17028
Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers
M. Vasile, O. Schütze, O. Junge, G. Radice, M. Dellnitz, Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers, European Space Agency, 2007.
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2007 | Journal Article | LibreCat-ID: 39947
Bessel convolutions on matrix cones
M. Rösler, Compositio Mathematica 143 (2007) 749–779.
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2007 | Journal Article | LibreCat-ID: 51408
The Lewis Correspondence for Submodular Groups
J. Hilgert, A. Deitmar, Forum Math. 19 (2007) 1075–1099.
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2007 | Preprint | LibreCat-ID: 51547 LibreCat | Download (ext.)
 

2007 | Book Review | LibreCat-ID: 51601 LibreCat
 

2007 | Book Review | LibreCat-ID: 51600
Procesi, C. Lie Groups (Springer, 2007)
J. Hilgert, JBer. DMV (2007).
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2006 | Conference Paper | LibreCat-ID: 16528
Multi-Objective Optimization in Self-Optimizing Systems
A. Dell’Aere, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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2006 | Book Chapter | LibreCat-ID: 16539
Set Oriented Numerical Methods in Space Mission Design
M. Dellnitz, O. Junge, in: Elsevier Astrodynamics Series, 2006.
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2006 | Book Chapter | LibreCat-ID: 16559
Graph Algorithms for Dynamical Systems
M. Dellnitz, M.H. Molo, P. Metzner, R. Preis, C. Schütte, in: Analysis, Modeling and Simulation of Multiscale Problems, 2006.
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2006 | Journal Article | LibreCat-ID: 16560
On target for Venus – set oriented computation of energy efficient low thrust trajectories
M. Dellnitz, O. Junge, M. Post, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2006) 357–370.
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2006 | Conference Paper | LibreCat-ID: 16618
Optimal Reconfiguration of Formation Flying Satellites
O. Junge, S. Ober-Blobaum, in: Proceedings of the 44th IEEE Conference on Decision and Control, 2006.
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2006 | Conference Paper | LibreCat-ID: 16621
Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach
O. Junge, J.E. Marsden, S. Ober-Blobaum, in: Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
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2006 | Conference Paper | LibreCat-ID: 16626
Energy Management for an Onboard Storage System Based on Multi-Objective Optimization
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, K. Witting, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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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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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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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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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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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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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.
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2006 | Journal Article | LibreCat-ID: 39948
SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts
M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.
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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
 

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.
LibreCat | DOI | arXiv
 

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.
LibreCat | Files available | DOI
 

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
 

2006 | Journal Article | LibreCat-ID: 34892
The number of S₄-fields with given discriminant
J. Klüners, Acta Arithmetica 122 (2006) 185–194.
LibreCat | DOI | arXiv
 

2006 | Book Chapter | LibreCat-ID: 44531
Vector bundles and torsion free sheaves on degenerations of elliptic curves
I. Burban, L. Bodnarchuk, Yu. Drozd, G.-M. Greuel, in: Global Aspects of Complex Geometry, Springer, 2006, pp. 83–129.
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2006 | Journal Article | LibreCat-ID: 44352
On a relative Fourier–Mukai transform on genus one fibrations
I. Burban, B. Kreußler, Manuscripta Mathematica 120 (2006) 283–306.
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2006 | Journal Article | LibreCat-ID: 44351
Derived categories of irreducible projective curves of arithmetic genus one
I. Burban, B. Kreußler, Compositio Mathematica 142 (2006) 1231–1262.
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2006 | Book Review | LibreCat-ID: 51599
Stroppel, M. Topological groups (EMS, 2006)
J. Hilgert, Zentralblatt Für Math. (2006).
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2005 | Conference Paper | LibreCat-ID: 16525
Towards Automated Chaos Verification
S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.
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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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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
 

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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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.
LibreCat | DOI
 

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