@article{HaferKiyLucke2014, author = {Hafer, J{\"o}rg and Kiy, Alexander and Lucke, Ulrike}, title = {Moodle \& Co. auf dem Weg zur Personal Learning Environment}, series = {eleed}, volume = {2014}, journal = {eleed}, number = {10}, issn = {1860-7470}, year = {2014}, abstract = {Ausgehend von der typischen IT-Infrastruktur f{\"u}r E-Learning an Hochschulen auf der einen Seite sowie vom bisherigen Stand der Forschung zu Personal Learning Environments (PLEs) auf der anderen Seite zeigt dieser Beitrag auf, wie bestehende Werkzeuge bzw. Dienste zusammengef{\"u}hrt und f{\"u}r die Anforderungen der modernen, rechnergest{\"u}tzten Pr{\"a}senzlehre aufbereitet werden k{\"o}nnen. F{\"u}r diesen interdisziplin{\"a}ren Entwicklungsprozess bieten sowohl klassische Softwareentwicklungsverfahren als auch bestehende PLE-Modelle wenig Hilfestellung an. Der Beitrag beschreibt die in einem campusweiten Projekt an der Universit{\"a}t Potsdam verfolgten Ans{\"a}tze und die damit erzielten Ergebnisse. Daf{\"u}r werden zun{\"a}chst typische Lehr-/Lern-bzw. Kommunikations-Szenarien identifiziert, aus denen Anforderungen an eine unterst{\"u}tzende Plattform abgeleitet werden. Dies f{\"u}hrt zu einer umfassenden Sammlung zu ber{\"u}cksichtigender Dienste und deren Funktionen, die gem{\"a}ß den Spezifika ihrer Nutzung in ein Gesamtsystem zu integrieren sind. Auf dieser Basis werden grunds{\"a}tzliche Integrationsans{\"a}tze und technische Details dieses Mash-Ups in einer Gesamtschau aller relevanten Dienste betrachtet und in eine integrierende Systemarchitektur {\"u}berf{\"u}hrt. Deren konkrete Realisierung mit Hilfe der Portal-Technologie Liferay wird dargestellt, wobei die eingangs definierten Szenarien aufgegriffen und exemplarisch vorgestellt werden. Erg{\"a}nzende Anpassungen im Sinne einer personalisierbaren bzw. adaptiven Lern-(und Arbeits-)Umgebung werden ebenfalls unterst{\"u}tzt und kurz aufgezeigt.}, language = {en} } @article{AlsaedyTarkhanov2014, author = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich}, title = {Normally solvable nonlinear boundary value problems}, series = {Nonlinear analysis : theory, methods \& applications ; an international multidisciplinary journal}, volume = {95}, journal = {Nonlinear analysis : theory, methods \& applications ; an international multidisciplinary journal}, publisher = {Elsevier}, address = {Oxford}, issn = {0362-546X}, doi = {10.1016/j.na.2013.09.024}, pages = {468 -- 482}, year = {2014}, abstract = {We investigate nonlinear problems which appear as Euler-Lagrange equations for a variational problem. They include in particular variational boundary value problems for nonlinear elliptic equations studied by F. Browder in the 1960s. We establish a solvability criterion of such problems and elaborate an efficient orthogonal projection method for constructing approximate solutions.}, language = {en} } @article{KiselevTarkhanov2014, author = {Kiselev, Oleg M. and Tarkhanov, Nikolai Nikolaevich}, title = {The capture of a particle into resonance at potential hole with dissipative perturbation}, series = {Chaos, solitons \& fractals : applications in science and engineering ; an interdisciplinary journal of nonlinear science}, volume = {58}, journal = {Chaos, solitons \& fractals : applications in science and engineering ; an interdisciplinary journal of nonlinear science}, publisher = {Elsevier}, address = {Oxford}, issn = {0960-0779}, doi = {10.1016/j.chaos.2013.11.003}, pages = {27 -- 39}, year = {2014}, abstract = {We study the capture of a particle into resonance at a potential hole with dissipative perturbation and external periodic excitation. The measure of resonance solutions is evaluated. We also derive an asymptotic formula for the parameter range of those solutions which are captured into resonance.}, language = {en} } @article{RungrottheeraSchulze2014, author = {Rungrottheera, Wannarut and Schulze, Bert-Wolfgang}, title = {Weighted spaces on corner manifolds}, series = {Complex variables and elliptic equations}, volume = {59}, journal = {Complex variables and elliptic equations}, number = {12}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {1747-6933}, doi = {10.1080/17476933.2013.876416}, pages = {1706 -- 1738}, year = {2014}, abstract = {We study spaces on manifolds with double weights and iterated discrete and continuous asymptotics, and their relationship with corner pseudo-differential operators.}, language = {en} } @article{KleinRama2014, author = {Klein, Markus and Rama, Juliane}, title = {Time asymptotics of e(-ith(kappa)) for analytic matrices and analytic perturbation theory}, series = {Asymptotic analysis}, volume = {89}, journal = {Asymptotic analysis}, number = {3-4}, publisher = {IOS Press}, address = {Amsterdam}, issn = {0921-7134}, doi = {10.3233/ASY-141226}, pages = {189 -- 233}, year = {2014}, abstract = {In quantum mechanics the temporal decay of certain resonance states is associated with an effective time evolution e(-ith(kappa)), where h(.) is an analytic family of non-self-adjoint matrices. In general the corresponding resonance states do not decay exponentially in time. Using analytic perturbation theory, we derive asymptotic expansions for e(-ith(kappa)), simultaneously in the limits kappa -> 0 and t -> infinity, where the corrections with respect to pure exponential decay have uniform bounds in one complex variable kappa(2)t. In the Appendix we briefly review analytic perturbation theory, replacing the classical reference to the 1920 book of Knopp [Funktionentheorie II, Anwendungen und Weiterfuhrung der allgemeinen Theorie, Sammlung Goschen, Vereinigung wissenschaftlicher Verleger Walter de Gruyter, 1920] and its terminology by standard modern references. This might be of independent interest.}, language = {en} } @article{GreweBrinkopJoeckeletal.2014, author = {Grewe, Volker and Brinkop, Sabine and Joeckel, Patrick and Shin, Seoleun and Reich, Sebastian and Yserentant, Harry}, title = {On the theory of mass conserving transformations for Lagrangian methods in 3D atmosphere-chemistry models}, series = {Meteorologische Zeitschrift}, volume = {23}, journal = {Meteorologische Zeitschrift}, number = {4}, publisher = {Schweizerbart}, address = {Stuttgart}, issn = {0941-2948}, doi = {10.1127/0941-2948/2014/0552}, pages = {441 -- 447}, year = {2014}, language = {en} } @article{RoellyRuszel2014, author = {Roelly, Sylvie and Ruszel, W. M.}, title = {Propagation of gibbsianness for infinite-dimensional diffusions with space-time interaction}, series = {Markov processes and related fields}, volume = {20}, journal = {Markov processes and related fields}, number = {4}, publisher = {Polymat}, address = {Moscow}, issn = {1024-2953}, pages = {653 -- 674}, year = {2014}, abstract = {We consider infinite-dimensional diffusions where the interaction between the coordinates has a finite extent both in space and time. In particular, it is not supposed to be smooth or Markov. The initial state of the system is Gibbs, given by a strong summable interaction. If the strongness of this initial interaction is lower than a suitable level, and if the dynamical interaction is bounded from above in a right way, we prove that the law of the diffusion at any time t is a Gibbs measure with absolutely summable interaction. The main tool is a cluster expansion in space uniformly in time of the Girsanov factor coming from the dynamics and exponential ergodicity of the free dynamics to an equilibrium product measure.}, language = {en} } @article{BlanchardDickhausRoquainetal.2014, author = {Blanchard, Gilles and Dickhaus, Thorsten and Roquain, Etienne and Villers, Fanny}, title = {On least favorable configurations for step-up-down tests}, series = {Statistica Sinica}, volume = {24}, journal = {Statistica Sinica}, number = {1}, publisher = {Statistica Sinica, Institute of Statistical Science, Academia Sinica}, address = {Taipei}, issn = {1017-0405}, doi = {10.5705/ss.2011.205}, pages = {1 -- U31}, year = {2014}, language = {en} } @article{Becker2014, author = {Becker, Christian}, title = {Relative differential cohomology}, series = {Lecture notes in mathematics : a collection of informal reports and seminars}, volume = {2112}, journal = {Lecture notes in mathematics : a collection of informal reports and seminars}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-319-07034-6; 978-3-319-07033-9}, issn = {0075-8434}, doi = {10.1007/978-3-319-07034-6_2}, pages = {91 -- 180}, year = {2014}, abstract = {We study two notions of relative differential cohomology, using the model of differential characters. The two notions arise from the two options to construct relative homology, either by cycles of a quotient complex or of a mapping cone complex. We discuss the relation of the two notions of relative differential cohomology to each other. We discuss long exact sequences for both notions, thereby clarifying their relation to absolute differential cohomology. We construct the external and internal product of relative and absolute characters and show that relative differential cohomology is a right module over the absolute differential cohomology ring. Finally we construct fiber integration and transgression for relative differential characters.}, language = {en} } @article{BaerBecker2014, author = {B{\"a}r, Christian and Becker, Christian}, title = {Differential characters and geometric chains}, series = {Lecture notes in mathematics : a collection of informal reports and seminars}, volume = {2112}, journal = {Lecture notes in mathematics : a collection of informal reports and seminars}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-319-07034-6; 978-3-319-07033-9}, issn = {0075-8434}, doi = {10.1007/978-3-319-07034-6_1}, pages = {1 -- 90}, year = {2014}, abstract = {We study Cheeger-Simons differential characters and provide geometric descriptions of the ring structure and of the fiber integration map. The uniqueness of differential cohomology (up to unique natural transformation) is proved by deriving an explicit formula for any natural transformation between a differential cohomology theory and the model given by differential characters. Fiber integration for fibers with boundary is treated in the context of relative differential characters. As applications we treat higher-dimensional holonomy, parallel transport, and transgression.}, language = {en} } @article{HoegelePavlyukevich2014, author = {Hoegele, Michael and Pavlyukevich, Ilya}, title = {The exit problem from a neighborhood of the global attractor for dynamical systems perturbed by heavy-tailed levy processes}, series = {Stochastic analysis and applications}, volume = {32}, journal = {Stochastic analysis and applications}, number = {1}, publisher = {Taylor \& Francis Group}, address = {Philadelphia}, issn = {0736-2994}, doi = {10.1080/07362994.2014.858554}, pages = {163 -- 190}, year = {2014}, abstract = {We consider a finite-dimensional deterministic dynamical system with the global attractor ? which supports a unique ergodic probability measure P. The measure P can be considered as the uniform long-term mean of the trajectories staying in a bounded domain D containing ?. We perturb the dynamical system by a multiplicative heavy tailed Levy noise of small intensity E>0 and solve the asymptotic first exit time and location problem from D in the limit of E?0. In contrast to the case of Gaussian perturbations, the exit time has an algebraic exit rate as a function of E, just as in the case when ? is a stable fixed point studied earlier in [9, 14, 19, 26]. As an example, we study the first exit problem from a neighborhood of the stable limit cycle for the Van der Pol oscillator perturbed by multiplicative -stable Levy noise.}, language = {en} } @article{BoeckmannOsterloh2014, author = {B{\"o}ckmann, Christine and Osterloh, Lukas}, title = {Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data}, series = {Inverse problems in science and engineering}, volume = {22}, journal = {Inverse problems in science and engineering}, number = {1}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {1741-5977}, doi = {10.1080/17415977.2013.830615}, pages = {150 -- 165}, year = {2014}, abstract = {The Runge-Kutta type regularization method was recently proposed as a potent tool for the iterative solution of nonlinear ill-posed problems. In this paper we analyze the applicability of this regularization method for solving inverse problems arising in atmospheric remote sensing, particularly for the retrieval of spheroidal particle distribution. Our numerical simulations reveal that the Runge-Kutta type regularization method is able to retrieve two-dimensional particle distributions using optical backscatter and extinction coefficient profiles, as well as depolarization information.}, language = {en} } @article{Bubenzer2014, author = {Bubenzer, Johannes}, title = {Cycle-aware minimization of acyclic deterministic finite-state automata}, series = {Discrete applied mathematics}, volume = {163}, journal = {Discrete applied mathematics}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0166-218X}, doi = {10.1016/j.dam.2013.08.003}, pages = {238 -- +}, year = {2014}, abstract = {In this paper a linear-time algorithm for the minimization of acyclic deterministic finite-state automata is presented. The algorithm runs significantly faster than previous algorithms for the same task. This is shown by a comparison of the running times of both algorithms. Additionally, a variation of the new algorithm is presented which handles cyclic automata as input. The new cycle-aware algorithm minimizes acyclic automata in the desired way. In case of cyclic input, the algorithm minimizes all acyclic suffixes of the input automaton.}, language = {en} } @inproceedings{AnderssonKeuneckeEseretal.2014, author = {Andersson, H. and Keunecke, A. and Eser, A. and Huisinga, Wilhelm and Reinisch, W. and Kloft, Charlotte}, title = {Pharmacokinetic considerations for optimising dosing regimens of a potsdam univ infliximab in patients with Crohn's disease}, series = {JOURNAL OF CROHNS \& COLITIS}, volume = {8}, booktitle = {JOURNAL OF CROHNS \& COLITIS}, publisher = {Oxford Univ. Press}, address = {Oxford}, issn = {1873-9946}, doi = {10.1016/S1873-9946(14)60086-6}, pages = {S44 -- S44}, year = {2014}, language = {en} } @article{BlanchardDelattreRoquain2014, author = {Blanchard, Gilles and Delattre, Sylvain and Roquain, Etienne}, title = {Testing over a continuum of null hypotheses with False Discovery Rate control}, series = {Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability}, volume = {20}, journal = {Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability}, number = {1}, publisher = {International Statistical Institute}, address = {Voorburg}, issn = {1350-7265}, doi = {10.3150/12-BEJ488}, pages = {304 -- 333}, year = {2014}, abstract = {We consider statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses, under the assumption that a suitable single test (and corresponding p-value) is known for each individual hypothesis. We extend to this setting the notion of false discovery rate (FDR) as a measure of type I error. Our main result studies specific procedures based on the observation of the p-value process. Control of the FDR at a nominal level is ensured either under arbitrary dependence of p-values, or under the assumption that the finite dimensional distributions of the p-value process have positive correlations of a specific type (weak PRDS). Both cases generalize existing results established in the finite setting. Its interest is demonstrated in several non-parametric examples: testing the mean/signal in a Gaussian white noise model, testing the intensity of a Poisson process and testing the c.d.f. of i.i.d. random variables.}, language = {en} } @article{BagderinaTarkhanov2014, author = {Bagderina, Yulia Yu. and Tarkhanov, Nikolai Nikolaevich}, title = {Differential invariants of a class of Lagrangian systems with two degrees of freedom}, series = {Journal of mathematical analysis and applications}, volume = {410}, journal = {Journal of mathematical analysis and applications}, number = {2}, publisher = {Elsevier}, address = {San Diego}, issn = {0022-247X}, doi = {10.1016/j.jmaa.2013.08.015}, pages = {733 -- 749}, year = {2014}, language = {en} } @article{GuoPaychaZhang2014, author = {Guo, Li and Paycha, Sylvie and Zhang, Bin}, title = {Conical zeta values and their double subdivision relations}, series = {Advances in mathematics}, volume = {252}, journal = {Advances in mathematics}, publisher = {Elsevier}, address = {San Diego}, issn = {0001-8708}, doi = {10.1016/j.aim.2013.10.022}, pages = {343 -- 381}, year = {2014}, abstract = {We introduce the concept of a conical zeta value as a geometric generalization of a multiple zeta value in the context of convex cones. The quasi-shuffle and shuffle relations of multiple zeta values are generalized to open cone subdivision and closed cone subdivision relations respectively for conical zeta values. In order to achieve the closed cone subdivision relation, we also interpret linear relations among fractions as subdivisions of decorated closed cones. As a generalization of the double shuffle relation of multiple zeta values, we give the double subdivision relation of conical zeta values and formulate the extended double subdivision relation conjecture for conical zeta values.}, language = {en} } @article{HolschneiderZoellerClementsetal.2014, author = {Holschneider, Matthias and Z{\"o}ller, Gert and Clements, R. and Schorlemmer, Danijel}, title = {Can we test for the maximum possible earthquake magnitude?}, series = {Journal of geophysical research : Solid earth}, volume = {119}, journal = {Journal of geophysical research : Solid earth}, number = {3}, publisher = {American Geophysical Union}, address = {Washington}, issn = {2169-9313}, doi = {10.1002/2013JB010319}, pages = {2019 -- 2028}, year = {2014}, language = {en} } @article{Hermann2014, author = {Hermann, Andreas}, title = {Zero sets of eigenspinors for generic metrics}, series = {Communications in analysis and geometry}, volume = {22}, journal = {Communications in analysis and geometry}, number = {2}, publisher = {International Press of Boston}, address = {Somerville}, issn = {1019-8385}, pages = {177 -- 218}, year = {2014}, abstract = {Let M be a closed connected spin manifold of dimension 2 or 3 with a fixed orientation and a fixed spin structure. We prove that for a generic Riemannian metric on M the non-harmonic eigenspinors of the Dirac operator are nowhere zero. The proof is based on a transversality theorem and the unique continuation property of the Dirac operator.}, language = {en} } @article{ChangHabalSchulze2014, author = {Chang, Der-Chen and Habal, Nadia and Schulze, Bert-Wolfgang}, title = {The edge algebra structure of the Zaremba problem}, series = {Journal of pseudo-differential operators and applications}, volume = {5}, journal = {Journal of pseudo-differential operators and applications}, number = {1}, publisher = {Springer}, address = {Basel}, issn = {1662-9981}, doi = {10.1007/s11868-013-0088-7}, pages = {69 -- 155}, year = {2014}, abstract = {We study mixed boundary value problems, here mainly of Zaremba type for the Laplacian within an edge algebra of boundary value problems. The edge here is the interface of the jump from the Dirichlet to the Neumann condition. In contrast to earlier descriptions of mixed problems within such an edge calculus, cf. (Harutjunjan and Schulze, Elliptic mixed, transmission and singular crack problems, 2008), we focus on new Mellin edge quantisations of the Dirichlet-to-Neumann operator on the Neumann side of the boundary and employ a pseudo-differential calculus of corresponding boundary value problems without the transmission property at the interface. This allows us to construct parametrices for the original mixed problem in a new and transparent way.}, language = {en} }