@article{51406, author = {{Hilgert, Joachim}}, journal = {{Semigroup Forum}}, pages = {{64--85}}, title = {{{Mayer's Transfer Operator and Representations of SL(2)}}}, volume = {{77}}, year = {{2008}}, } @unpublished{51546, author = {{Hilgert, Joachim and Pohl , A. D.}}, title = {{{Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one}}}, year = {{2008}}, } @unpublished{51545, author = {{Hilgert, Joachim}}, title = {{{Attractor Networks on Complex Flag Manifolds}}}, year = {{2008}}, } @misc{51602, author = {{Hilgert, Joachim}}, booktitle = {{Math. Reviews}}, title = {{{Faraut, J. Analysis on Lie Groups (Cambridge University Press, 2008)}}}, year = {{2008}}, } @article{54326, author = {{Hesse, Kerstin and Thong Le Gia, Quoc }}, journal = {{Bulletin of the Australian Mathematical Society}}, pages = {{197--224}}, title = {{{Local radial basis function approximation on the sphere}}}, volume = {{77}}, year = {{2008}}, } @article{54325, author = {{Hesse, Kerstin and Leopardi, Paul}}, journal = {{Advances in Computational Mathematics}}, pages = {{331--354}}, title = {{{The Coulomb energy of spherical designs on S2}}}, volume = {{28}}, year = {{2008}}, } @article{39941, author = {{Rösler, Margit and Voit, Michael}}, issn = {{1815-0659}}, journal = {{Symmetry, Integrability and Geometry: Methods and Applications}}, keywords = {{Geometry and Topology, Mathematical Physics, Analysis}}, number = {{083}}, pages = {{9pp}}, publisher = {{SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}}, title = {{{A Limit Relation for Dunkl-Bessel Functions of Type A and B}}}, doi = {{10.3842/sigma.2008.083}}, volume = {{4}}, year = {{2008}}, } @article{44350, author = {{Burban, Igor and Iyama, O. and Keller, B. and Reiten, I.}}, journal = {{Advances in Mathematics}}, number = {{6}}, pages = {{2443–2484}}, title = {{{Cluster tilting for one–dimensional hypersurface singularities}}}, doi = {{10.1016/j.aim.2007.10.007}}, volume = {{217}}, year = {{2008}}, } @inbook{44530, author = {{Burban, Igor and Drozd, Yu.}}, booktitle = {{Trends in Representations of Algebras and Related Topics}}, pages = {{101–160}}, publisher = {{EMS Publishing House}}, title = {{{Maximal Cohen-Macaulay modules over surface singularities}}}, year = {{2008}}, } @unpublished{64639, author = {{Glöckner, Helge}}, title = {{{Homotopy groups of ascending unions of infinite-dimensional manifolds}}}, year = {{2008}}, } @article{64685,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}}, }