@article{54324, author = {{Hesse, Kerstin}}, journal = {{Advances in Computational Mathematics}}, pages = {{37--59}}, title = {{{The s-energy of spherical designs on S2}}}, volume = {{30}}, year = {{2009}}, } @article{37500, abstract = {{We discuss the time evolution of the wave function which is the solution of a stochastic Schrödinger equation describing the dynamics of a free quantum particle subject to spontaneous localizations in space. We prove global existence and uniqueness of solutions. We observe that there exist three time regimes: the collapse regime, the classical regime and the diffusive regime. Concerning the latter, we assert that the general solution converges almost surely to a diffusing Gaussian wave function having a finite spread both in position as well as in momentum. This paper corrects and completes earlier works on this issue.}}, author = {{Bassi, Angelo and Dürr, Detlef and Kolb, Martin}}, journal = {{Reviews in Mathematical Physics}}, number = {{1}}, pages = {{55--89}}, title = {{{ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS}}}, doi = {{https://doi.org/10.1142/S0129055X10003886}}, volume = {{22}}, year = {{2009}}, } @inproceedings{39950, author = {{Rösler, Margit}}, booktitle = {{Infinite Dimensional Harmonic Analysis IV}}, pages = {{ 255–271}}, publisher = {{World Scientific}}, title = {{{Convolution algebras for multivariable Bessel functions}}}, doi = {{10.1142/9789812832825_0017}}, year = {{2009}}, } @article{34889, abstract = {{We prove that van Hoeij’s original algorithm to factor univariate polynomials over the rationals runs in polynomial time, as well as natural variants. In particular, our approach also yields polynomial time complexity results for bivariate polynomials over a finite field.}}, author = {{Belabas, Karim and van Hoeij, Mark and Klüners, Jürgen and Steel, Allan}}, issn = {{1246-7405}}, journal = {{Journal de Théorie des Nombres de Bordeaux}}, keywords = {{Algebra and Number Theory}}, number = {{1}}, pages = {{15--39}}, publisher = {{Cellule MathDoc/CEDRAM}}, title = {{{Factoring polynomials over global fields}}}, doi = {{10.5802/jtnb.655}}, volume = {{21}}, year = {{2009}}, } @inbook{35959, abstract = {{In this survey, we report about a new algorithm for factoring polynomials due to Mark van Hoeij. The main idea is that the combinatorial problem that occurs in the Zassenhaus algorithm is reduced to a very special knapsack problem. In case of rational polynomials, this knapsack problem can be very efficiently solved by the LLL algorithm. This gives a polynomial time algorithm, which also works very well in practice.}}, author = {{Klüners, Jürgen}}, booktitle = {{The LLL Algorithm}}, isbn = {{9783642022944}}, issn = {{1619-7100}}, publisher = {{Springer Berlin Heidelberg}}, title = {{{The van Hoeij Algorithm for Factoring Polynomials}}}, doi = {{10.1007/978-3-642-02295-1_8}}, year = {{2009}}, } @phdthesis{43453, abstract = {{Die invarianten Formen aus dem Anhang sind hier verfügbar:http://www.math.rwth-aachen.de/homes/Markus.Kirschmer/symplectic/}}, author = {{Kirschmer, Markus}}, pages = {{149}}, title = {{{Finite symplectic matrix groups (Dissertation)}}}, year = {{2009}}, } @inbook{56919, author = {{Prömmel, Andreas and Biehler, Rolf}}, booktitle = {{Beiträge zum Mathematikunterricht 2009}}, editor = {{Neubrand, M.}}, pages = {{799--802}}, publisher = {{WTM-Verlag}}, title = {{{Instruktionale Unterstützung selbständigen Lernens in der gymnasialen Oberstufe beim Einstieg in die Stochastik}}}, year = {{2009}}, } @inbook{56917, author = {{Biehler, Rolf}}, booktitle = {{Beiträge zum Mathematikunterricht 2009}}, editor = {{Neubrand, M.}}, pages = {{87--90}}, publisher = {{WTM-Verlag}}, title = {{{Studien zum Einsatz von eLearning für das Lehren und Lernen von Mathematik}}}, year = {{2009}}, } @book{56916, author = {{Biehler, Rolf and Fischer, Pascal and Maitzen, Christoph and Maxara, Carmen and Nieder, Tanja}}, title = {{{Evaluation von SINUS-Hessen 2005-2007}}}, year = {{2009}}, } @inbook{64682, author = {{Glöckner, Helge}}, booktitle = {{Generalized Lie theory in mathematics, physics and beyond}}, isbn = {{978-3-540-85331-2}}, keywords = {{46G20, 46A99, 47A07}}, pages = {{171–186}}, publisher = {{Berlin: Springer}}, title = {{{Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus}}}, doi = {{10.1007/978-3-540-85332-9_16}}, year = {{2009}}, } @unpublished{64747, author = {{Dahmen, Rafael}}, title = {{{Lie Groups Associated to Hölder-Continuous Functions}}}, year = {{2009}}, } @article{64681, author = {{Glöckner, Helge and Lucht, Lutz G. and Porubský, Štefan}}, issn = {{0039-3223}}, journal = {{Studia Mathematica}}, keywords = {{11A25, 44A10, 46H30}}, number = {{2}}, pages = {{109–129}}, title = {{{General Dirichlet series, arithmetic convolution equations and Laplace transforms}}}, doi = {{10.4064/sm193-2-2}}, volume = {{193}}, year = {{2009}}, } @article{16610, author = {{Geisler, M.Sc. Jens and Witting, Dipl.-Math. Katrin and Trächtler, Ansgar and Dellnitz, Michael}}, issn = {{1474-6670}}, journal = {{IFAC Proceedings Volumes}}, pages = {{4380--4386}}, title = {{{Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle}}}, doi = {{10.3182/20080706-5-kr-1001.00738}}, year = {{2008}}, } @inproceedings{16623, author = {{Klöpper, Benjamin and Podlogar, Herbert and Gausemeier, Jürgen and Witting, Katrin}}, booktitle = {{2008 19th International Conference on Database and Expert Systems Applications}}, isbn = {{9780769532998}}, title = {{{Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems}}}, doi = {{10.1109/dexa.2008.111}}, year = {{2008}}, } @article{16667, author = {{Schütze, Oliver and Coello Coello, Carlos A. and Mostaghim, Sanaz and Talbi, El-Ghazali and Dellnitz, Michael}}, issn = {{0305-215X}}, journal = {{Engineering Optimization}}, pages = {{383--402}}, title = {{{Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems}}}, doi = {{10.1080/03052150701821328}}, year = {{2008}}, } @article{16668, author = {{Schütze, Oliver and Laumanns, Marco and Coello Coello, Carlos A. and Dellnitz, Michael and Talbi, El-Ghazali}}, issn = {{0925-5001}}, journal = {{Journal of Global Optimization}}, pages = {{559--577}}, title = {{{Convergence of stochastic search algorithms to finite size pareto set approximations}}}, doi = {{10.1007/s10898-007-9265-7}}, year = {{2008}}, } @article{16678, author = {{Witting, Katrin and Schulz, Bernd and Dellnitz, Michael and Böcker, Joachim and Fröhleke, Norbert}}, issn = {{1433-2779}}, journal = {{International Journal on Software Tools for Technology Transfer}}, pages = {{223--231}}, title = {{{A new approach for online multiobjective optimization of mechatronic systems}}}, doi = {{10.1007/s10009-008-0066-1}}, year = {{2008}}, } @inproceedings{17031, author = {{Geisler, Jens and Witting, Katrin and Trächtler, Ansgar and Dellnitz, Michael}}, booktitle = {{7th International Heinz Nixdorf Symposium: Self-optimizing Mechatronic Systems: Designing the Future}}, title = {{{Self-Optimization of the Guidance Module of a Rail-bound Vehicle}}}, year = {{2008}}, } @inproceedings{29474, author = {{Zhang, W. and Inanc, T. and Ober-Blöbaum, Sina and Marsden, J.E.}}, booktitle = {{IEEE International Conference on Robotics and Automation}}, location = {{Pasadena, CA, USA}}, title = {{{Optimal trajectory generation for a dynamic glider in ocean flows modeled by 3d B-spline functions}}}, year = {{2008}}, } @article{51407, author = {{Hilgert, Joachim and Rilke, F.}}, journal = {{J. Funct. Anal.}}, pages = {{476--505}}, title = {{{Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators}}}, volume = {{254}}, year = {{2008}}, }