@phdthesis{64757, author = {{Eyni, Jan Milan}}, title = {{{New examples and constructions in infinite-dimensional Lie theory}}}, year = {{2016}}, } @unpublished{64767, author = {{Nikitin, Natalie}}, title = {{{Exponential laws for spaces of differentiable functions on topological groups}}}, year = {{2016}}, } @article{64641, author = {{Glöckner, Helge}}, issn = {{0092-7872}}, journal = {{Communications in Algebra}}, keywords = {{22E50, 20D35, 20E06}}, number = {{7}}, pages = {{2981–2988}}, title = {{{The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup}}}, doi = {{10.1080/00927872.2015.1065859}}, volume = {{44}}, year = {{2016}}, } @article{1769, abstract = {{Große zylindrische Stahlprüflinge werden mittels der Methode der finiten Differenzen im Zeitbereich (engl. finite differences in time domain, FDTD) simulativ untersucht. Dabei werden Pitch-Catch-Messanordnungen verwendet. Es werden zwei Bildgebungsansätze vorgestellt: ersterer basiert auf dem Imaging Principle nach Claerbout, letzterer basiert auf gradientenbasierter Optimierung eines Zielfunktionals.}}, author = {{Hegler, Sebastian and Statz, Christoph and Mütze, Marco and Mooshofer, Hubert and Goldammer, Matthias and Fendt, Karl and Schwarzer, Stefan and Feldhoff, Kim and Flehmig, Martin and Markwardt, Ulf and E. Nagel, Wolfgang and Schütte, Maria and Walther, Andrea and Meinel, Michael and Basermann, Achim and Plettemeier, Dirk}}, journal = {{tm - Technisches Messen}}, number = {{9}}, pages = {{440--450}}, publisher = {{Walter de Gruyter}}, title = {{{Simulative Ultraschall-Untersuchung von Pitch-Catch-Messanordnungen für große zylindrische Stahl-Prüflinge und gradientenbasierte Bildgebung}}}, doi = {{doi:10.1515/teme-2015-0031}}, volume = {{82}}, year = {{2015}}, } @article{1774, abstract = {{In this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is presented. In order to decrease the computational effort, a reduced order model is introduced using Proper Orthogonal Decomposition and a corresponding Galerkin Projection. A global, derivative free multiobjective optimization algorithm is applied to compute the Pareto set (i.e. the set of optimal compromises) for the concurrent objectives minimization of flow field fluctuations and control cost. The method is illustrated for a 2D flow around a cylinder at Re = 100.}}, author = {{Peitz, Sebastian and Dellnitz, Michael}}, issn = {{1617-7061}}, journal = {{PAMM}}, number = {{1}}, pages = {{613--614}}, publisher = {{WILEY-VCH Verlag}}, title = {{{Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}}}, doi = {{10.1002/pamm.201510296}}, volume = {{15}}, year = {{2015}}, } @inproceedings{8563, author = {{Liebendörfer, Michael and Hochmuth, Reinhard}}, booktitle = {{Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education}}, editor = {{Krainer, Konrad and Vondrová, Nad'a}}, publisher = {{Charles University in Prague, Faculty of Education and ERME}}, title = {{{Perceived Autonomy in the First Semester of Mathematics Studies}}}, year = {{2015}}, } @article{8568, author = {{Braun, Eileen Angélique and Liebendörfer, Michael and Schorcht, Sebastian}}, journal = {{Mitteilungen der Gesellschaft für Didaktik der Mathematik}}, number = {{98}}, pages = {{60--61}}, title = {{{Initiative Bottom-Up-Nachtreffen zum Doktorandenkolloquium der GDM}}}, volume = {{41}}, year = {{2015}}, } @inproceedings{8760, abstract = {{n this article an efficient numerical method to solve multiobjective optimization problems for fluid flow governed by the Navier Stokes equations is presented. In order to decrease the computational effort, a reduced order model is introduced using Proper Orthogonal Decomposition and a corresponding Galerkin Projection. A global, derivative free multiobjective optimization algorithm is applied to compute the Pareto set (i.e. the set of optimal compromises) for the concurrent objectives minimization of flow field fluctuations and control cost. The method is illustrated for a 2D flow around a cylinder at Re = 100.}}, author = {{Peitz, Sebastian and Dellnitz, Michael}}, booktitle = {{PAMM}}, issn = {{1617-7061}}, pages = {{613--614}}, title = {{{Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}}}, doi = {{10.1002/pamm.201510296}}, year = {{2015}}, } @article{16582, author = {{Demoures, F. and Gay-Balmaz, F. and Leyendecker, S. and Ober-Blöbaum, S. and Ratiu, T. S. and Weinand, Y.}}, issn = {{0029-599X}}, journal = {{Numerische Mathematik}}, pages = {{73--123}}, title = {{{Discrete variational Lie group formulation of geometrically exact beam dynamics}}}, doi = {{10.1007/s00211-014-0659-4}}, year = {{2015}}, } @inproceedings{16622, author = {{Keuck, L. and Frohleke, N. and Bocker, J. and Ziessler, A.}}, booktitle = {{2015 17th European Conference on Power Electronics and Applications (EPE'15 ECCE-Europe)}}, isbn = {{9789075815221}}, title = {{{PFC-control for improved inductor utilization}}}, doi = {{10.1109/epe.2015.7309373}}, year = {{2015}}, } @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}}, }