@article{64685, author = {{Glöckner, Helge}}, issn = {{0017-0895}}, journal = {{Glasgow Mathematical Journal}}, keywords = {{26E15, 26E20, 26E30, 46A16, 46S10}}, number = {{2}}, pages = {{271–288}}, title = {{{Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus}}}, doi = {{10.1017/S0017089508004199}}, volume = {{50}}, year = {{2008}}, } @article{64684, author = {{Glöckner, Helge}}, issn = {{0046-5755}}, journal = {{Geometriae Dedicata}}, keywords = {{22E65}}, pages = {{71–86}}, title = {{{Solutions to open problems in Neeb’s recent survey on infinite-dimensional Lie groups}}}, doi = {{10.1007/s10711-008-9263-z}}, volume = {{135}}, year = {{2008}}, } @article{64683, author = {{Glöckner, Helge}}, issn = {{0025-5874}}, journal = {{Mathematische Zeitschrift}}, keywords = {{22E20, 22E60}}, number = {{4}}, pages = {{889–904}}, title = {{{Contractible Lie groups over local fields}}}, doi = {{10.1007/s00209-008-0305-x}}, volume = {{260}}, year = {{2008}}, } @inproceedings{16561, author = {{Dellnitz, Michael and Padberg, Kathrin and Post, Marcus and Thiere, Bianca}}, booktitle = {{AIP Conference Proceedings}}, issn = {{0094-243X}}, title = {{{Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems}}}, doi = {{10.1063/1.2710046}}, year = {{2007}}, } @article{16602, author = {{Froyland, Gary and Padberg, Kathrin and England, Matthew H. and Treguier, Anne Marie}}, issn = {{0031-9007}}, journal = {{Physical Review Letters}}, title = {{{Detection of Coherent Oceanic Structures via Transfer Operators}}}, doi = {{10.1103/physrevlett.98.224503}}, year = {{2007}}, } @article{16612, author = {{Grüne, L. and Junge, O.}}, issn = {{0022-3239}}, journal = {{Journal of Optimization Theory and Applications}}, pages = {{411--429}}, title = {{{Global Optimal Control of Perturbed Systems}}}, doi = {{10.1007/s10957-007-9312-z}}, year = {{2007}}, } @inproceedings{16630, abstract = {{This paper formulates the dynamical equations of mechanics subject to holonomic constraints in terms of the states and controls using a constrained version of the Lagrange-d’Alembert principle. Based on a discrete version of this principle, a structure preserving time-stepping scheme is derived. It is shown that this respect for the mechanical structure (such as a reliable computation of the energy and momentum budget, without numerical dissipation) is retained when the system is reduced to its minimal dimension by the discrete null space method. Together with initial and final conditions on the configuration and conjugate momentum, the reduced time-stepping equations serve as nonlinear equality constraints for the minimisation of a given cost functional. The algorithm yields a sequence of discrete configurations together with a sequence of actuating forces, optimally guiding the system from the initial to the desired final state. The resulting discrete optimal control algorithm is shown to have excellent energy and momentum properties, which are illustrated by two specific examples, namely reorientation and repositioning of a rigid body subject to external forces and the reorientation of a rigid body with internal momentum wheels.}}, author = {{Leyendecker, Sigrid and Ober-Blöbaum, Sina and Marsden, Jerrold E. and Ortiz, Michael}}, booktitle = {{Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C}}, isbn = {{079184806X}}, title = {{{Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics}}}, doi = {{10.1115/detc2007-34574}}, year = {{2007}}, } @inbook{16640, author = {{Monien, Burkhard and Preis, Robert}}, booktitle = {{Mathematical Foundations of Computer Science 2001}}, isbn = {{9783540424963}}, issn = {{0302-9743}}, title = {{{Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs}}}, doi = {{10.1007/3-540-44683-4_46}}, year = {{2007}}, } @article{16648, author = {{Padberg, Kathrin and Hauff, Thilo and Jenko, Frank and Junge, Oliver}}, issn = {{1367-2630}}, journal = {{New Journal of Physics}}, pages = {{400--400}}, title = {{{Lagrangian structures and transport in turbulent magnetized plasmas}}}, doi = {{10.1088/1367-2630/9/11/400}}, year = {{2007}}, } @inbook{16658, author = {{Preis, Robert and Monien, Burkhard and Schamberger, Stefan}}, booktitle = {{Handbook of Approximation Algorithms and Metaheuristics}}, isbn = {{9781584885504}}, issn = {{2154-4573}}, title = {{{Approximation Algorithms for Multilevel Graph Partitioning}}}, doi = {{10.1201/9781420010749.ch60}}, year = {{2007}}, } @inproceedings{16666, author = {{Schütze, Oliver and Talbi, El-ghazali and Pulido, Gregorio Toscano and Coello, Carlos Coello and Santana-Quintero, Luis Vicente}}, booktitle = {{2007 IEEE Swarm Intelligence Symposium}}, isbn = {{1424407087}}, title = {{{A Memetic PSO Algorithm for Scalar Optimization Problems}}}, doi = {{10.1109/sis.2007.368036}}, year = {{2007}}, } @techreport{17028, author = {{Vasile, Massimiliano and Schütze, Oliver and Junge, Oliver and Radice, Gimbardo and Dellnitz, Michael}}, publisher = {{European Space Agency}}, title = {{{Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers}}}, year = {{2007}}, } @article{51408, author = {{Hilgert, Joachim and Deitmar, A.}}, journal = {{Forum Math.}}, pages = {{1075--1099}}, title = {{{The Lewis Correspondence for Submodular Groups}}}, volume = {{19}}, year = {{2007}}, } @misc{51601, author = {{Hilgert, Joachim}}, booktitle = {{Math. Reviews}}, title = {{{Wolf, J..A. Harmonic Analysis on Commutative Spaces (AMS, 2007)}}}, year = {{2007}}, } @misc{51600, author = {{Hilgert, Joachim}}, booktitle = {{JBer. DMV}}, title = {{{Procesi, C. Lie Groups (Springer, 2007)}}}, year = {{2007}}, } @article{54328, author = {{Hesse, Kerstin and Y. Kuo, Frances and H. Sloan, Ian}}, journal = {{Journal of Complexity}}, pages = {{25--51}}, title = {{{A component-by-component approach to efficient numerical integration over products of spheres}}}, volume = {{23}}, year = {{2007}}, } @article{54327, author = {{Hesse, Kerstin and N Mhaskar, Hrushikesh and H. Sloan, Ian}}, journal = {{Journal of Complexity}}, pages = {{528--552}}, title = {{{Quadrature in Besov spaces on the Euclidean sphere}}}, volume = {{23}}, year = {{2007}}, } @article{54330, author = {{Hesse, Kerstin and S. Brauchart, Joann}}, journal = {{Constructive Approximation}}, pages = {{41--71}}, title = {{{Numerical integration over spheres of arbitrary dimension}}}, volume = {{25}}, year = {{2007}}, } @article{39947, author = {{Rösler, Margit}}, issn = {{0010-437X}}, journal = {{Compositio Mathematica}}, keywords = {{Algebra and Number Theory}}, number = {{03}}, pages = {{749--779}}, publisher = {{Wiley}}, title = {{{Bessel convolutions on matrix cones}}}, doi = {{10.1112/s0010437x06002594}}, volume = {{143}}, year = {{2007}}, } @article{64691, abstract = {{We show that countable direct limits of finite-dimensional Lie groups do not have small subgroups. The same conclusion is obtained for suitable direct limits of infinite-dimensional Lie groups.}}, author = {{Glöckner, Helge}}, issn = {{0166-8641}}, journal = {{Topology and its Applications}}, keywords = {{Infinite-dimensional Lie group, Direct limit group, Direct limit, Inductive limit, Small subgroup, Torsion subgroup}}, number = {{6}}, pages = {{1126--1133}}, title = {{{Direct limit groups do not have small subgroups}}}, doi = {{https://doi.org/10.1016/j.topol.2006.11.003}}, volume = {{154}}, year = {{2007}}, }