@inproceedings{31863, author = {{Häsel-Weide, Uta and Schöttler, C.}}, booktitle = {{Proceedings of the International Symposium Elementary Maths Teaching. Equity and diversity in elementary mathematics education}}, editor = {{Novotná, J. and Moraová, H.}}, pages = {{373--383}}, title = {{{Students constructing meaning for the decimal system in dyadic discussions: epistemological and interactionist analyses of negotiation processes in an inclusive setting.}}}, year = {{2017}}, } @inbook{31860, author = {{Häsel-Weide, Uta and Hintz, A. M.}}, booktitle = {{Gemeinsam Mathematik lernen. Mit allen Kindern rechnen.}}, editor = {{Häsel-Weide, Uta and Nührenbörger, M.}}, pages = {{78--87}}, publisher = {{Grundschulverband e. V.}}, title = {{{Soziale Begegnungen beim (kooperativen) Lernen im Mathematikunterricht.}}}, year = {{2017}}, } @book{31858, author = {{Häsel-Weide, Uta and Nührenbörger, M. and Moser Opitz, E. and Wittich, C.}}, pages = {{180}}, publisher = {{Klett Kallmeyer}}, title = {{{Ablösung vom zählenden Rechnen. Fördereinheiten für heterogene Lerngruppen}}}, year = {{2017}}, } @article{34663, author = {{Black, Tobias}}, issn = {{1553-524X}}, journal = {{Discrete & Continuous Dynamical Systems - B}}, keywords = {{Applied Mathematics, Discrete Mathematics and Combinatorics}}, number = {{4}}, pages = {{1253--1272}}, publisher = {{American Institute of Mathematical Sciences (AIMS)}}, title = {{{Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals}}}, doi = {{10.3934/dcdsb.2017061}}, volume = {{22}}, year = {{2017}}, } @article{34665, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{1424-3199}}, journal = {{Journal of Evolution Equations}}, keywords = {{Mathematics (miscellaneous)}}, number = {{2}}, pages = {{561--581}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Singular sensitivity in a Keller–Segel-fluid system}}}, doi = {{10.1007/s00028-017-0411-5}}, volume = {{18}}, year = {{2017}}, } @article{8756, abstract = {{We present a new algorithm for model predictive control of non-linear systems with respect to multiple, conflicting objectives. The idea is to provide a possibility to change the objective in real-time, e.g. as a reaction to changes in the environment or the system state itself. The algorithm utilises elements from various well-established concepts, namely multiobjective optimal control, economic as well as explicit model predictive control and motion planning with motion primitives. In order to realise real-time applicability, we split the computation into an online and an offline phase and we utilise symmetries in the open-loop optimal control problem to reduce the number of multiobjective optimal control problems that need to be solved in the offline phase. The results are illustrated using the example of an electric vehicle where the longitudinal dynamics are controlled with respect to the concurrent objectives arrival time and energy consumption.}}, author = {{Peitz, Sebastian and Schäfer, Kai and Ober-Blöbaum, Sina and Eckstein, Julian and Köhler, Ulrich and Dellnitz, Michael}}, issn = {{2405-8963}}, journal = {{Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC)}}, number = {{1}}, pages = {{8674--8679}}, title = {{{A multiobjective MPC approach for autonomously driven electric vehicles}}}, doi = {{10.1016/j.ifacol.2017.08.1526}}, volume = {{50}}, year = {{2017}}, } @inproceedings{29430, author = {{Gail, T. and Ober-Blöbaum, Sina and Leyendecker, S. }}, booktitle = {{ECCOMAS Thematic Conference on Multibody Dynamics}}, title = {{{Variational multirate integration in discrete mechanics and optimal control}}}, year = {{2017}}, } @misc{31301, author = {{Schütte, Philipp}}, title = {{{Identifying and Realizing Symmetries in Quantum Walks - Symmetry Classes and Quantum Walks}}}, year = {{2017}}, } @article{31268, author = {{Faure, Frédéric and Weich, Tobias}}, issn = {{0010-3616}}, journal = {{Communications in Mathematical Physics}}, keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{3}}, pages = {{755--822}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps}}}, doi = {{10.1007/s00220-017-3000-0}}, volume = {{356}}, year = {{2017}}, } @article{31272, author = {{Harris, Benjamin and Weich, Tobias}}, issn = {{0001-8708}}, journal = {{Advances in Mathematics}}, keywords = {{General Mathematics}}, pages = {{176--236}}, publisher = {{Elsevier BV}}, title = {{{Wave front sets of reductive Lie group representations III}}}, doi = {{10.1016/j.aim.2017.03.025}}, volume = {{313}}, year = {{2017}}, } @inproceedings{31370, author = {{Hoffmann, Max and Biehler, Rolf}}, booktitle = {{Beiträge zum Mathematikunterricht 2017}}, editor = {{Kortenkamp, Ulrich and Kuzle, Ana}}, pages = {{441--444}}, publisher = {{WTM-Verlag}}, title = {{{Schnittstellenaufgaben für die Analysis I – Konzept, Beispiele und Evaluationsergebnisse}}}, doi = {{10.17877/DE290R-18534}}, year = {{2017}}, } @inbook{31857, author = {{Häsel-Weide, Uta and Nührenbörger, M.}}, booktitle = {{Gemeinsam Mathematik lernen - mit allen Kindern rechnen.}}, editor = {{Häsel-Weide, Uta and Nührenbörger, M.}}, pages = {{8--21}}, publisher = {{Grundschulverband e. V.}}, title = {{{Grundzüge des inklusiven Mathematikunterrichts. Mit allen Kindern rechnen.}}}, year = {{2017}}, } @article{33336, abstract = {{The dipole approximation is employed to describe interactions between atoms and radiation. It essentially consists of neglecting the spatial variation of the external field over the atom. Heuristically, this is justified by arguing that the wavelength is considerably larger than the atomic length scale, which holds under usual experimental conditions. We prove the dipole approximation in the limit of infinite wavelengths compared to the atomic length scale and estimate the rate of convergence. Our results include N-body Coulomb potentials and experimentally relevant electromagnetic fields such as plane waves and laser pulses.}}, author = {{Boßmann, Lea and Grummt, Robert and Kolb, Martin}}, journal = {{Letters in Mathematical Physics}}, pages = {{185–193}}, title = {{{On the dipole approximation with error estimates}}}, doi = {{https://link.springer.com/article/10.1007/s11005-017-0999-y}}, volume = {{108}}, year = {{2017}}, } @article{33342, abstract = {{In this work we consider a one-dimensional Brownian motion with constant drift moving among a Poissonian cloud of obstacles. Our main result proves convergence of the law of processes conditional on survival up to time t as t converges to infinity in the critical case where the drift coincides with the intensity of the Poisson process. This complements a previous result of T. Povel, who considered the same question in the case where the drift is strictly smaller than the intensity. We also show that the end point of the process conditioned on survival up to time t rescaled by √t converges in distribution to a non-trivial random variable, as t tends to infinity, which is in fact invariant with respect to the drift h>0. We thus prove that it is sub-ballistic and estimate the speed of escape. The latter is in a sharp contrast with discrete models of dimension larger or equal to 2 when the behaviour at criticality is ballistic, see [7], and even to many one dimensional models which exhibit ballistic behaviour at criticality, see [8].}}, author = {{Savov, Mladen and Kolb, Martin}}, journal = {{Electronic Journal of Probability}}, publisher = {{ Institute of Mathematical Statistics & Bernoulli Society}}, title = {{{Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case}}}, doi = {{https://doi.org/10.1214/17-EJP4468}}, volume = {{22}}, year = {{2017}}, } @article{34631, author = {{Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}}, issn = {{0029-599X}}, journal = {{Numerische Mathematik}}, keywords = {{Applied Mathematics, Computational Mathematics}}, number = {{3}}, pages = {{579--605}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Radial basis function approximation of noisy scattered data on the sphere}}}, doi = {{10.1007/s00211-017-0886-6}}, volume = {{137}}, year = {{2017}}, } @inproceedings{45396, author = {{Dröse, Jennifer and Prediger, Susanne}}, booktitle = {{Beiträge zum Mathematikunterricht 2017 }}, editor = {{Kortenkamp, U. and Kuzle, A.}}, pages = {{183--186}}, publisher = {{WTM}}, title = {{{Strategieentwicklung für die Bearbeitung von Textaufgaben}}}, year = {{2017}}, } @article{31267, author = {{Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}}, issn = {{0025-5831}}, journal = {{Mathematische Annalen}}, keywords = {{General Mathematics}}, number = {{3-4}}, pages = {{1231--1275}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Classical and quantum resonances for hyperbolic surfaces}}}, doi = {{10.1007/s00208-017-1576-5}}, volume = {{370}}, year = {{2017}}, } @article{51390, author = {{Hilgert, Joachim and Przebinda, T. and Pasquale, A.}}, journal = {{Representation Theory}}, pages = {{416–457}}, title = {{{Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3)}}}, doi = {{10.1090/ert/506}}, volume = {{21}}, year = {{2017}}, } @article{51392, author = {{Hilgert, Joachim and Martens, J. and Manon, Ch.}}, journal = {{Inter. Math. Research Notices}}, pages = {{6255–6309}}, title = {{{Contraction of Hamiltonian K-spaces}}}, doi = {{10.1093/imrn/rnw191}}, volume = {{20}}, year = {{2017}}, } @article{51391, author = {{Hilgert, Joachim and Przebinda, T. and Pasquale, A.}}, journal = {{J. Funct. Anal.}}, pages = {{1477--1523}}, title = {{{Resonances for the Laplacian of products of two rank one Riemannian symmetric spaces}}}, volume = {{272}}, year = {{2017}}, }