@article{51409, author = {{Hilgert, Joachim and Deitmar, A.}}, journal = {{Documenta Math.}}, pages = {{199--216}}, title = {{{Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces}}}, volume = {{10}}, year = {{2005}}, } @article{16500, author = {{Chaudhuri, I. and Sertl, S. and Hajnal, Z. and Dellnitz, M. and Frauenheim, Th.}}, issn = {{0169-4332}}, journal = {{Applied Surface Science}}, pages = {{108--113}}, title = {{{Global optimization of silicon nanoclusters}}}, doi = {{10.1016/j.apsusc.2003.11.007}}, year = {{2004}}, } @article{16521, author = {{Bezrukov, S. and Elsässer, R. and Monien, B. and Preis, R. and Tillich, J.-P.}}, issn = {{0304-3975}}, journal = {{Theoretical Computer Science}}, pages = {{155--174}}, title = {{{New spectral lower bounds on the bisection width of graphs}}}, doi = {{10.1016/j.tcs.2004.03.059}}, year = {{2004}}, } @article{16527, author = {{Day, S. and Junge, O. and Mischaikow, K.}}, issn = {{1536-0040}}, journal = {{SIAM Journal on Applied Dynamical Systems}}, pages = {{117--160}}, title = {{{A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems}}}, doi = {{10.1137/030600210}}, year = {{2004}}, } @article{16587, abstract = {{ We discuss nearest neighbor load balancing schemes on processor networks which are represented by a cartesian product of graphs and present a new optimal diffusion scheme for general graphs. In the first part of the paper, we introduce the Alternating-Direction load balancing scheme, which reduces the number of load balance iterations by a factor of 2 for cartesian products of graphs. The resulting flow is theoretically analyzed and can be very high for certain cases. Therefore, we further present the Mixed-Direction scheme which needs the same number of iterations but computes in most cases a much smaller flow. In the second part of the paper, we present a simple optimal diffusion scheme for general graphs, calculating a balancing flow which is minimal in the l2 norm. It is based on the spectra of the graph representing the network and needs only m-1 iterations to balance the load with m being the number of distinct eigenvalues. Known optimal diffusion schemes have the same performance, however the optimal scheme presented in this paper can be implemented in a very simple manner. The number of iterations of optimal diffusion schemes is independent of the load scenario and, thus, they are practical for networks which represent graphs with known spectra. Finally, our experiments exhibit that the new optimal scheme can successfully be combined with the Alternating-Direction and Mixed-Direction schemes for efficient load balancing on product graphs. }}, author = {{Elsässer, Robert and Monien, Burkhard and Preis, Robert and Frommer, Andreas}}, issn = {{0129-6264}}, journal = {{Parallel Processing Letters}}, pages = {{61--73}}, title = {{{Optimal Diffusion Schemes and Load Balancing on Product Graphs}}}, doi = {{10.1142/s0129626404001714}}, year = {{2004}}, } @article{16619, author = {{Junge, Oliver and Osinga, Hinke M.}}, issn = {{1292-8119}}, journal = {{ESAIM: Control, Optimisation and Calculus of Variations}}, pages = {{259--270}}, title = {{{A set oriented approach to global optimal control}}}, doi = {{10.1051/cocv:2004006}}, year = {{2004}}, } @inproceedings{16620, author = {{Junge, O. and Marsden, J.E. and Mezic, I.}}, booktitle = {{2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)}}, isbn = {{0780386825}}, title = {{{Uncertainty in the dynamics of conservative maps}}}, doi = {{10.1109/cdc.2004.1430379}}, year = {{2004}}, } @inbook{51469, author = {{Hilgert, Joachim and Mayer, D.}}, booktitle = {{Complex Analysis and Dynamical Systems}}, editor = {{Agranowsky, M.}}, title = {{{The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model}}}, volume = {{364}}, year = {{2004}}, } @unpublished{51548, author = {{Hilgert, Joachim and Deitmar, A.}}, title = {{{The Lewis Correspondence for submodular groups}}}, year = {{2004}}, } @article{54336, author = {{Hesse, Kerstin and H. Sloan, Ian}}, journal = {{Journal of Computational Technologies}}, pages = {{4--12}}, title = {{{High-order numerical integration on the sphere and extremal point systems}}}, volume = {{9}}, year = {{2004}}, } @article{40320, abstract = {{In this note, a new proof for the positivity of Dunkl's intertwining operator in the crystallographic case is given. It is based on an asymptotic relationship between the Opdam-Cherednik kernel and the Dunkl kernel as recently observed by M. de Jeu, and on positivity results of S. Sahi for the Heckman-Opdam polynomials and their non-symmetric counterparts.}}, author = {{Rösler, Margit and Voit, Michael}}, issn = {{1073-7928}}, journal = {{International Mathematics Research Notices}}, number = {{63}}, pages = {{3379–3389}}, publisher = {{Oxford University Press}}, title = {{{Positivity of Dunkl's intertwining operator via the trigonometric setting}}}, doi = {{10.48550/ARXIV.MATH/0405368}}, year = {{2004}}, } @article{44355, author = {{Burban, Igor and Drozd, Yu.}}, journal = {{Duke Mathematical Journal}}, number = {{2}}, pages = {{189–229}}, title = {{{Coherent sheaves on rational curves with simple double points and transversal intersections}}}, doi = {{10.1215/S0012-7094-04-12121-9}}, volume = {{121}}, year = {{2004}}, } @inproceedings{44533, author = {{Burban, Igor and Drozd, Yu.}}, booktitle = {{Proceedings of the ICRA-X Conference, Toronto 2002}}, location = {{Toronto}}, pages = {{109–127}}, title = {{{Indecomposables of the derived categories of certain associative algebras}}}, volume = {{45}}, year = {{2004}}, } @inbook{44534, author = {{Burban, Igor}}, booktitle = {{Representations of finite dimensional algebras and related topics in Lie theory and geometry}}, pages = {{173–188}}, publisher = {{American Mathematical Society}}, title = {{{Derived categories of coherent sheaves on rational singular curves}}}, volume = {{40}}, year = {{2004}}, } @article{44356, author = {{Burban, Igor and Drozd, Yu.}}, journal = {{J. Algebra}}, number = {{1}}, pages = {{46–94}}, title = {{{Derived tameness of nodal algebras}}}, volume = {{272}}, year = {{2004}}, } @inbook{64708, author = {{Glöckner, Helge}}, booktitle = {{Infinite dimensional groups and manifolds. Based on the 70th meeting of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May 2004.}}, isbn = {{3-11-018186-X}}, keywords = {{22E65, 22E67, 46H05, 46T25}}, pages = {{1–16}}, publisher = {{Berlin: de Gruyter}}, title = {{{Lie groups of germs of analytic mappings}}}, year = {{2004}}, } @unpublished{64743, author = {{Glöckner, Helge}}, title = {{{Lie groups over non-discrete topological fields}}}, year = {{2004}}, } @article{64707, author = {{Bertram, W. and Glöckner, Helge and Neeb, K.-H.}}, issn = {{0723-0869}}, journal = {{Expositiones Mathematicae}}, keywords = {{58C20, 22E65, 26E15, 26E20, 26E30}}, number = {{3}}, pages = {{213–282}}, title = {{{Differential calculus over general base fields and rings.}}}, doi = {{10.1016/S0723-0869(04)80006-9}}, volume = {{22}}, year = {{2004}}, } @article{64705, author = {{Glöckner, Helge}}, issn = {{0010-2628}}, journal = {{Commentationes Mathematicae Universitatis Carolinae}}, keywords = {{46A32, 46A16, 22A05}}, number = {{4}}, pages = {{607–614}}, title = {{{Tensor products in the category of topological vector spaces are not associative.}}}, volume = {{45}}, year = {{2004}}, } @article{64706, author = {{Glöckner, Helge}}, issn = {{0146-4124}}, journal = {{Topology Proceedings}}, keywords = {{58C20, 46G05, 26E20, 46A16, 46G20}}, number = {{2}}, pages = {{479–486}}, title = {{{Examples of differentiable mappings into non-locally convex spaces.}}}, volume = {{28}}, year = {{2004}}, }