@article{16642, author = {{Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}}, issn = {{1617-7061}}, journal = {{PAMM}}, pages = {{639--640}}, title = {{{Multiobjective optimal control of fluid mixing}}}, doi = {{10.1002/pamm.201510309}}, year = {{2015}}, } @article{16660, author = {{Ringkamp, Maik and Ober-Blöbaum, Sina and Leyendecker, Sigrid}}, issn = {{1617-7061}}, journal = {{PAMM}}, pages = {{27--30}}, title = {{{Relaxing mixed integer optimal control problems using a time transformation}}}, doi = {{10.1002/pamm.201510008}}, year = {{2015}}, } @article{17039, author = {{Flasskamp, Kathrin and Hage-Packhäuser, Sebastian and Ober-Blöbaum, Sina}}, journal = {{Journal of Computational Dynamics}}, number = {{1}}, pages = {{25--50}}, title = {{{Symmetry exploiting control of hybrid mechanical systems}}}, doi = {{10.3934/jcd.2015.2.25}}, volume = {{2}}, year = {{2015}}, } @article{17041, author = {{Campos, Cédric M. and Ober-Blöbaum, Sina and Trélat, Emmanuel}}, journal = {{Discrete & Continuous Dynamical Systems - A}}, number = {{9}}, pages = {{4193--4223}}, title = {{{High order variational integrators in the optimal control of mechanical systems}}}, doi = {{10.3934/dcds.2015.35.4193}}, volume = {{35}}, year = {{2015}}, } @article{29402, author = {{Flaßkamp, K. and Hage-Packhäuser, S. and Ober-Blöbaum, Sina}}, journal = {{Journal of Computational Dynamics}}, pages = {{25--50}}, title = {{{Symmetry exploiting control of hybrid mechanical systems}}}, volume = {{2(1)}}, year = {{2015}}, } @article{29403, author = {{Campos, C. M. and Ober-Blöbaum, Sina and Trélat, E.}}, journal = {{Discrete and Continuous Dynamical Systems}}, pages = {{4193--4223}}, title = {{{High order variational integrators in the optimal control of mechanical systems}}}, volume = {{35(9)}}, year = {{2015}}, } @article{31291, abstract = {{We consider a simple model of an open partially expanding map. Its trapped set ${\mathcal{K}}$ in phase space is a fractal set. We first show that there is a well-defined discrete spectrum of Ruelle resonances which describes the asymptotic of correlation functions for large time and which is parametrized by the Fourier component $\unicode[STIX]{x1D708}$ in the neutral direction of the dynamics. We introduce a specific hypothesis on the dynamics that we call ‘minimal captivity’. This hypothesis is stable under perturbations and means that the dynamics is univalued in a neighborhood of ${\mathcal{K}}$. Under this hypothesis we show the existence of an asymptotic spectral gap and a fractal Weyl law for the upper bound of density of Ruelle resonances in the semiclassical limit $\unicode[STIX]{x1D708}\rightarrow \infty$. Some numerical computations with the truncated Gauss map and Bowen–Series maps illustrate these results.}}, author = {{ARNOLDI, JEAN FRANCOIS and FAURE, FRÉDÉRIC and Weich, Tobias}}, issn = {{0143-3857}}, journal = {{Ergodic Theory and Dynamical Systems}}, keywords = {{Applied Mathematics, General Mathematics}}, number = {{1}}, pages = {{1--58}}, publisher = {{Cambridge University Press (CUP)}}, title = {{{Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps}}}, doi = {{10.1017/etds.2015.34}}, volume = {{37}}, year = {{2015}}, } @article{31293, author = {{Weich, Tobias}}, issn = {{0010-3616}}, journal = {{Communications in Mathematical Physics}}, keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{2}}, pages = {{727--765}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Resonance Chains and Geometric Limits on Schottky Surfaces}}}, doi = {{10.1007/s00220-015-2359-z}}, volume = {{337}}, year = {{2015}}, } @article{33359, abstract = {{We consider Gibbs distributions on permutations of a locally finite infinite set X⊂R, where a permutation σ of X is assigned (formal) energy ∑x∈XV(σ(x)−x). This is motivated by Feynman’s path representation of the quantum Bose gas; the choice X:=Z and V(x):=αx2 is of principal interest. Under suitable regularity conditions on the set X and the potential V, we establish existence and a full classification of the infinite-volume Gibbs measures for this problem, including a result on the number of infinite cycles of typical permutations. Unlike earlier results, our conclusions are not limited to small densities and/or high temperatures. }}, author = {{Richthammer, Thomas and Biskup, Marek}}, journal = {{Communications in Mathematical Physics}}, number = {{2}}, pages = {{898--929}}, publisher = {{Springer Science+Business Media}}, title = {{{Gibbs measures on permutations over one-dimensional discrete point sets}}}, doi = {{https://doi.org/10.48550/arXiv.1310.0248}}, volume = {{25}}, year = {{2015}}, } @article{33358, abstract = {{We study the workload processes of two M/G/1 queueing systems with restricted capacity: in Model 1 any service requirement that would exceed a certain capacity threshold is truncated; in Model 2 new arrivals do not enter the system if they have to wait more than a fixed threshold time in line. For Model 1 we obtain several results concerning the rate of convergence to equilibrium. In particular, we derive uniform bounds for geometric ergodicity with respect to certain subclasses. For Model 2 geometric ergodicity follows from the finiteness of the moment-generating function of the service time distribution. We derive bounds for the convergence rates in special cases. The proofs use the coupling method.}}, author = {{Kolb, Martin and Stadje, Wolfgang and Wübker, Achim}}, journal = {{Stochastic Models}}, number = {{1}}, pages = {{121--135}}, publisher = {{INFORMS}}, title = {{{The rate of convergence to stationarity for M/G/1 models with admission controls via coupling}}}, doi = {{http://dx.doi.org/10.1080/15326349.2015.1090322}}, volume = {{32}}, year = {{2015}}, } @article{33360, abstract = {{We prove a local limit theorem for the area of the positive excursion of random walks with zero mean and finite variance. Our main result complements previous work of Caravenna and Chaumont; Sohier, as well as Kim and Pittel.}}, author = {{Kolb, Martin and Denisov, Denis and Wachtel, Vitali}}, journal = {{Journal of the London Mathematical Society}}, number = {{2}}, pages = {{495--513}}, publisher = {{London Mathematical Society}}, title = {{{Local asymptotics for the area of random walk excursions}}}, volume = {{91}}, year = {{2015}}, } @inproceedings{31368, author = {{Hilgert, Joachim and Hoffmann, Max and Panse, Anja}}, booktitle = {{Tagungsband zum Hansekolloquium zur Hochschuldidaktik der Mathematik.}}, editor = {{Paravicini, Walther and Schnieder, Jörn}}, pages = {{23–26}}, publisher = {{WTM-Verlag}}, title = {{{Kann professorale Lehre tutoriell sein? Ein Modellversuch zur Einführung in mathematisches Denken und Arbeiten}}}, year = {{2015}}, } @book{31373, author = {{Hilgert, Joachim and Hoffmann, Max and Panse, Anja}}, isbn = {{9783662455111}}, publisher = {{Springer}}, title = {{{Einführung in mathematisches Denken und Arbeiten: tutoriell und transparent}}}, doi = {{10.1007/978-3-662-45512-8}}, year = {{2015}}, } @phdthesis{45973, author = {{Kovács, Balázs}}, title = {{{Efficient numerical methods for elliptic and parabolic partial differential equations}}}, doi = {{10.15476/ELTE.2015.076}}, year = {{2015}}, } @inproceedings{33620, author = {{Rezat, Sara and Rezat, Sebastian and Janzen, Sabrina}}, booktitle = {{Beiträge zum Mathematikunterricht 2015. Vorträge auf der 49. Tagung für Didaktik der Mathematik vom 09.02.2015 bis 13.02.2015 in Basel. Band 2}}, editor = {{Caluori, F. and Linneweber-Lammerskitten, H. and Streit, Chr.}}, pages = {{736--739}}, publisher = {{WTM}}, title = {{{Sprachsensibler Umgang mit Textmustern im Mathematikunterricht am Beispiel von Konstruktionsbeschreibungen}}}, year = {{2015}}, } @inproceedings{54341, author = {{Hesse, Kerstin}}, booktitle = {{Extended Abstract der khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract ist online publiziert als khdm-Report zur khdm Conference 2015.)}}, title = {{{Online Tests for Evaluating Learning Success}}}, year = {{2015}}, } @article{38037, 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 = {{013}}, pages = {{18pp}}, publisher = {{SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}}, title = {{{A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian}}}, doi = {{10.3842/sigma.2015.013}}, volume = {{11}}, year = {{2015}}, } @article{44340, author = {{Burban, Igor and Henrich, T.}}, journal = {{Journal of the European Math. Society}}, number = {{3}}, pages = {{591– 644}}, title = {{{Vector bundles on plane cubic curves and the classical Yang-Baxter equation}}}, doi = {{10.4171/JEMS/512}}, volume = {{17}}, year = {{2015}}, } @inproceedings{45683, author = {{Bruns, Julia and Eichen, L.}}, booktitle = {{Beiträge zum Mathematikunterricht 2015}}, editor = {{Caluori, F. and Linneweber-Lamerskitten, H. and Streit, C.}}, location = {{Basel}}, pages = {{212–215}}, publisher = {{WTM-Verlag}}, title = {{{Mathematikbezogene Kompetenzentwicklung elementarpädagogischer Fachpersonen in Intensiv-Fortbildungen}}}, year = {{2015}}, } @inproceedings{45682, author = {{Bruns, Julia and Eichen, L.}}, booktitle = {{Entwicklung mathematischer Fähigkeiten von Kindern im Grundschulalter – Tagungsband des AK Grundschule in der GDM 2015}}, editor = {{Steinweg, A. S.}}, pages = {{103–106}}, publisher = {{Bamberg University Press}}, title = {{{Entwicklung eines videobasierten Instruments zur Erhebung von Handlungsfähigkeiten elementarpädagogischer Fachpersonen im mathematischen Bereich (VimaH)}}}, year = {{2015}}, }