@book{13139, editor = {{Rezat, Sebastian and Fan, Lianghuo and Hattermann, Mathias and Schumacher, Jan and Wuschke, Holger}}, location = {{Paderborn}}, pages = {{392}}, publisher = {{Universitätsbibliothek Paderborn}}, title = {{{Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany}}}, doi = {{10.17619/UNIPB/1-768}}, year = {{2019}}, } @inproceedings{32089, author = {{Häsel-Weide, Uta and Nührenbörger, M.}}, booktitle = {{Proceedings of the Third International Conference on Mathematics Textbook Research an Development}}, editor = {{Rezat, Sebastian and Fan, L. and Hattermann, M. and Schumacher, J. and Wuschke, H.}}, pages = {{185--190}}, title = {{{Materials für inclusive mathematics education - Design principles an practices.}}}, year = {{2019}}, } @article{32090, author = {{Breucker, T. and Freesemann, O. and Häsel-Weide, Uta and Opitz, E. M. and Nührenbörger, M. and Wittich, C.}}, journal = {{Zeitschrift für Heilpädagogik}}, number = {{70}}, pages = {{316--326}}, title = {{{Fördern im inklusiven Mathematikunterricht im Spannungsfeld zwischen gemeinsamen Lernsituationen und gezielter Förderung.}}}, year = {{2019}}, } @misc{32091, author = {{Häsel-Weide, Uta and Nührenbörger, M. and Reinold, M.}}, isbn = {{978-3122009946}}, pages = {{80}}, publisher = {{Klett}}, title = {{{Das Zahlenbuch 4. Förderheft}}}, year = {{2019}}, } @misc{31954, author = {{Häsel-Weide, Uta and Nührenbörger, M. and Reinold, M.}}, isbn = {{ 978-3-12-200998-4}}, pages = {{144}}, publisher = {{Klett}}, title = {{{Das Zahlenbuch. Förderkommentar Lernen zum 4. Schuljahr}}}, year = {{2019}}, } @inbook{32092, author = {{Häsel-Weide, Uta}}, booktitle = {{Zwischen Persönlichkeitsbildung und Leistungsentwicklung. Fachspezifische Zugänge zu inklusivem Unterricht}}, editor = {{Baumert, B. and Willen, M.}}, isbn = {{ 978-3781523234}}, pages = {{175--181}}, publisher = {{Klinkhardt}}, title = {{{Lernumgebungen für den inklusiven Mathematikunterricht zwischen reichhaltiger Offenheit und fokussierter Förderung}}}, year = {{2019}}, } @article{34672, author = {{Black, Tobias}}, issn = {{1937-1179}}, journal = {{Discrete & Continuous Dynamical Systems - S}}, keywords = {{Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis}}, number = {{2}}, pages = {{119--137}}, publisher = {{American Institute of Mathematical Sciences (AIMS)}}, title = {{{Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}}}, doi = {{10.3934/dcdss.2020007}}, volume = {{13}}, year = {{2019}}, } @article{34669, author = {{Black, Tobias}}, issn = {{1422-6928}}, journal = {{Journal of Mathematical Fluid Mechanics}}, keywords = {{Applied Mathematics, Computational Mathematics, Condensed Matter Physics, Mathematical Physics}}, number = {{1}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System}}}, doi = {{10.1007/s00021-019-0464-z}}, volume = {{22}}, year = {{2019}}, } @article{34668, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{0170-4214}}, journal = {{Mathematical Methods in the Applied Sciences}}, keywords = {{General Engineering, General Mathematics}}, number = {{9}}, pages = {{3002--3020}}, publisher = {{Wiley}}, title = {{{A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}}}, doi = {{10.1002/mma.5561}}, volume = {{42}}, year = {{2019}}, } @article{34671, author = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}}, issn = {{0003-6811}}, journal = {{Applicable Analysis}}, keywords = {{Applied Mathematics, Analysis}}, number = {{16}}, pages = {{2877--2891}}, publisher = {{Informa UK Limited}}, title = {{{Stabilization in the Keller–Segel system with signal-dependent sensitivity}}}, doi = {{10.1080/00036811.2019.1585534}}, volume = {{99}}, year = {{2019}}, } @article{31265, author = {{Dyatlov, Semyon and Borthwick, David and Weich, Tobias}}, issn = {{1435-9855}}, journal = {{Journal of the European Mathematical Society}}, keywords = {{Applied Mathematics, General Mathematics}}, number = {{6}}, pages = {{1595--1639}}, publisher = {{European Mathematical Society - EMS - Publishing House GmbH}}, title = {{{Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich}}}, doi = {{10.4171/jems/867}}, volume = {{21}}, year = {{2019}}, } @misc{31383, author = {{Hoffmann, Max}}, booktitle = {{Mathematische Semesterberichte}}, pages = {{117–118}}, title = {{{Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension}}}, doi = {{10.1007/s00591-018-00244-x}}, volume = {{66}}, year = {{2019}}, } @unpublished{31191, abstract = {{The kinetic Brownian motion on the sphere bundle of a Riemannian manifold $M$ is a stochastic process that models a random perturbation of the geodesic flow. If $M$ is a orientable compact constant negatively curved surface, we show that in the limit of infinitely large perturbation the $L^2$-spectrum of the infinitesimal generator of a time rescaled version of the process converges to the Laplace spectrum of the base manifold. In addition, we give explicit error estimates for the convergence to equilibrium. The proofs are based on noncommutative harmonic analysis of $SL_2(\mathbb{R})$.}}, author = {{Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}}, booktitle = {{arXiv:1909.06183}}, title = {{{Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces}}}, year = {{2019}}, } @article{33331, abstract = {{Motivated by the recent contribution (Bauer and Bernard in Annales Henri Poincaré 19:653–693, 2018), we study the scaling limit behavior of a class of one-dimensional stochastic differential equations which has a unique attracting point subject to a small additional repulsive perturbation. Problems of this type appear in the analysis of continuously monitored quantum systems. We extend the results of Bauer and Bernard (Annales Henri Poincaré 19:653–693, 2018) and prove a general result concerning the convergence to a homogeneous Poisson process using only classical probabilistic tools.}}, author = {{Kolb, Martin and Liesenfeld, Matthias}}, journal = {{Annales Henri Poincaré}}, number = {{6}}, pages = {{1753--1783}}, publisher = {{Institute Henri Poincaré}}, title = {{{Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems}}}, doi = {{http://dx.doi.org/10.1007/s00023-019-00772-9}}, volume = {{20}}, year = {{2019}}, } @article{33333, author = {{Wang, Andi Q. and Kolb, Martin and Roberts, Gareth O. and Steinsaltz, David}}, journal = {{The Annals of Applied Probability}}, number = {{1}}, title = {{{Theoretical properties of quasi-stationary Monte Carlo methods}}}, doi = {{http://dx.doi.org/10.1214/18-AAP1422}}, volume = {{29}}, year = {{2019}}, } @article{33334, abstract = {{In the present work we characterize the existence of quasistationary distributions for diffusions on (0,∞) allowing singular behavior at 0 and ∞. If absorption at 0 is certain, we show that there exists a quasistationary distribution as soon as the spectrum of the generator is strictly positive. This complements results of Collet et al. and Kolb/Steinsaltz for 0 being a regular boundary point and extends results by Collet et al. on singular diffusions. We also study the existence and uniqueness of quasistationary distributions for a class of one-dimensional diffusions with killing that arise from a biological example and which have two inaccessible boundary points (more specifically 0 is natural and ∞ is entrance).}}, author = {{Hening, Alexandru and Kolb, Martin}}, journal = {{Stochastic Processes and their Applications}}, number = {{5}}, pages = {{1659--1696}}, publisher = {{Bernoulli Society for Mathematical Statistics and Probability}}, title = {{{Quasistationary distributions for one-dimensional diffusions with two singular boundary points}}}, doi = {{http://dx.doi.org/10.1016/j.spa.2018.05.012}}, volume = {{129}}, year = {{2019}}, } @article{34829, author = {{Hanusch, Maximilian}}, issn = {{1435-5337}}, journal = {{Forum Mathematicum}}, keywords = {{regularity of Lie groups, differentiability of the evolution map}}, number = {{5}}, pages = {{1139--1177}}, publisher = {{Walter de Gruyter GmbH}}, title = {{{Differentiability of the evolution map and Mackey continuity}}}, doi = {{10.1515/forum-2018-0310}}, volume = {{31}}, year = {{2019}}, } @inproceedings{45388, author = {{Dröse, Jennifer}}, booktitle = {{Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education}}, editor = {{Jankvist, U. T. and van den Heuvel-Panhuizen, M. and Veldhuis, M.}}, publisher = {{Freudenthal Group & ERME}}, title = {{{Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation}}}, year = {{2019}}, } @inproceedings{45389, author = {{Dröse, Jennifer}}, booktitle = {{Proceedings of the Third International Conference on Mathematics Textbook Research and Development }}, editor = {{Rezat, S. and Hattermann, M. and Schumacher, J. and Wuschke, H.}}, pages = {{161--166}}, title = {{{Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach}}}, year = {{2019}}, } @inproceedings{29867, author = {{Faulwasser, Tim and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann, Karl}}, pages = {{490--495}}, title = {{{Towards velocity turnpikes in optimal control of mechanical systems}}}, volume = {{52(16)}}, year = {{2019}}, }