@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{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}
}
@misc{OsterlohaBoeckmannNicolaeetal.2014,
  author    = {Osterloha, Lukas and B{\"o}ckmann, Christine and Nicolae, Doina and Nemuc, Anca},
  title     = {Regularized inversion of microphysical atmospheric particle parameters: Theory and application (vol 237, pg 79, 2013)},
  series = {Journal of computational physics},
  volume    = {275},
  journal   = {Journal of computational physics},
  publisher = {Elsevier},
  address   = {San Diego},
  issn      = {0021-9991},
  doi       = {10.1016/j.jcp.2014.07.041},
  pages     = {696 -- 696},
  year      = {2014},
  language  = {en}
}
@unpublished{ConfortiDaiPraRoelly2014,
  author    = {Conforti, Giovanni and Dai Pra, Paolo and Roelly, Sylvie},
  title     = {Reciprocal class of jump processes},
  volume    = {3},
  number    = {6},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-70776},
  pages     = {30},
  year      = {2014},
  abstract  = {Processes having the same bridges as a given reference Markov process constitute its reciprocal class. In this paper we study the reciprocal class of compound Poisson processes whose jumps belong to a finite set A in R^d. We propose a characterization of the reciprocal class as the unique set of probability measures on which a family of time and space transformations induces the same density, expressed in terms of the reciprocal invariants. The geometry of A plays a crucial role in the design of the transformations, and we use tools from discrete geometry to obtain an optimal characterization. We deduce explicit conditions for two Markov jump processes to belong to the same class. Finally, we provide a natural interpretation of the invariants as short-time asymptotics for the probability that the reference process makes a cycle around its current state.},
  language  = {en}
}
@phdthesis{Rudorf2014,
  author    = {Rudorf, Sophia},
  title     = {Protein Synthesis by Ribosomes},
  pages     = {xii, 145},
  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}
}
@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}
}
@unpublished{DereudreRoelly2014,
  author    = {Dereudre, David and Roelly, Sylvie},
  title     = {Path-dependent infinite-dimensional SDE with non-regular drift : an existence result},
  volume    = {3},
  number    = {11},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-72084},
  pages     = {27},
  year      = {2014},
  abstract  = {We establish in this paper the existence of weak solutions of infinite-dimensional shift invariant stochastic differential equations driven by a Brownian term. The drift function is very general, in the sense that it is supposed to be neither small or continuous, nor Markov. On the initial law we only assume that it admits a finite specific entropy. Our result strongly improves the previous ones obtained for free dynamics with a small perturbative drift. The originality of our method leads in the use of the specific entropy as a tightness tool and on a description of such stochastic differential equation as solution of a variational problem on the path space.},
  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}
}
@unpublished{GairingHoegeleKosenkovaetal.2014,
  author    = {Gairing, Jan and H{\"o}gele, Michael and Kosenkova, Tetiana and Kulik, Alexei Michajlovič},
  title     = {On the calibration of L{\´e}vy driven time series with coupling distances : an application in paleoclimate},
  volume    = {3},
  number    = {2},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-69781},
  pages     = {18},
  year      = {2014},
  abstract  = {This article aims at the statistical assessment of time series with large fluctuations in short time, which are assumed to stem from a continuous process perturbed by a L{\´e}vy process exhibiting a heavy tail behavior. We propose an easily implementable procedure to estimate efficiently the statistical difference between the noisy behavior of the data and a given reference jump measure in terms of so-called coupling distances. After a short introduction to L{\´e}vy processes and coupling distances we recall basic statistical approximation results and derive rates of convergence. In the sequel the procedure is elaborated in detail in an abstract setting and eventually applied in a case study to simulated and paleoclimate data. It indicates the dominant presence of a non-stable heavy-tailed jump L{\´e}vy component for some tail index greater than 2.},
  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{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{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}
}
@unpublished{PornsawadBoeckmann2014,
  author    = {Pornsawad, Pornsarp and B{\"o}ckmann, Christine},
  title     = {Modified iterative Runge-Kutta-type methods for nonlinear ill-posed problems},
  volume    = {3},
  number    = {7},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-70834},
  pages     = {30},
  year      = {2014},
  abstract  = {This work is devoted to the convergence analysis of a modified Runge-Kutta-type iterative regularization method for solving nonlinear ill-posed problems under a priori and a posteriori stopping rules. The convergence rate results of the proposed method can be obtained under H{\"o}lder-type source-wise condition if the Fr{\´e}chet derivative is properly scaled and locally Lipschitz continuous. Numerical results are achieved by using the Levenberg-Marquardt and Radau methods.},
  language  = {en}
}
@unpublished{HoegelePavlyukevich2014,
  author    = {H{\"o}gele, Michael and Pavlyukevich, Ilya},
  title     = {Metastability of Morse-Smale dynamical systems perturbed by heavy-tailed L{\´e}vy type noise},
  volume    = {3},
  number    = {5},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-70639},
  pages     = {27},
  year      = {2014},
  abstract  = {We consider a general class of finite dimensional deterministic dynamical systems with finitely many local attractors each of which supports a unique ergodic probability measure, which includes in particular the class of Morse-Smale systems in any finite dimension. The dynamical system is perturbed by a multiplicative non-Gaussian heavytailed L{\´e}vy type noise of small intensity ε > 0. Specifically we consider perturbations leading to a It{\^o}, Stratonovich and canonical (Marcus) stochastic differential equation. The respective asymptotic first exit time and location problem from each of the domains of attractions in case of inward pointing vector fields in the limit of ε-> 0 has been investigated by the authors. We extend these results to domains with characteristic boundaries and show that the perturbed system exhibits a metastable behavior in the sense that there exits a unique ε-dependent time scale on which the random system converges to a continuous time Markov chain switching between the invariant measures. As examples we consider α-stable perturbations of the Duffing equation and a chemical system exhibiting a birhythmic behavior.},
  language  = {en}
}
@article{KoppitzMusunthia2014,
  author    = {Koppitz, J{\"o}rg and Musunthia, Tiwadee},
  title     = {Maximal subsemigroups containing a particular semigroup},
  series = {Mathematica Slovaca},
  volume    = {64},
  journal   = {Mathematica Slovaca},
  number    = {6},
  publisher = {De Gruyter},
  address   = {Warsaw},
  issn      = {0139-9918},
  doi       = {10.2478/s12175-014-0280-0},
  pages     = {1369 -- 1380},
  year      = {2014},
  abstract  = {We characterize maximal subsemigroups of the monoid T(X) of all transformations on the set X = a"center dot of natural numbers containing a given subsemigroup W of T(X) such that T(X) is finitely generated over W. This paper gives a contribution to the characterization of maximal subsemigroups on the monoid of all transformations on an infinite set.},
  language  = {en}
}
@article{ZoellerBenZion2014,
  author    = {Z{\"o}ller, Gert and Ben-Zion, Yehuda},
  title     = {Large earthquake hazard of the San Jacinto fault zone, CA, from long record of simulated seismicity assimilating the available instrumental and paleoseismic data},
  series = {Pure and applied geophysics},
  volume    = {171},
  journal   = {Pure and applied geophysics},
  number    = {11},
  publisher = {Springer},
  address   = {Basel},
  issn      = {0033-4553},
  doi       = {10.1007/s00024-014-0783-1},
  pages     = {2955 -- 2965},
  year      = {2014},
  abstract  = {We investigate spatio-temporal properties of earthquake patterns in the San Jacinto fault zone (SJFZ), California, between Cajon Pass and the Superstition Hill Fault, using a long record of simulated seismicity constrained by available seismological and geological data. The model provides an effective realization of a large segmented strike-slip fault zone in a 3D elastic half-space, with heterogeneous distribution of static friction chosen to represent several clear step-overs at the surface. The simulated synthetic catalog reproduces well the basic statistical features of the instrumental seismicity recorded at the SJFZ area since 1981. The model also produces events larger than those included in the short instrumental record, consistent with paleo-earthquakes documented at sites along the SJFZ for the last 1,400 years. The general agreement between the synthetic and observed data allows us to address with the long-simulated seismicity questions related to large earthquakes and expected seismic hazard. The interaction between m a parts per thousand yen 7 events on different sections of the SJFZ is found to be close to random. The hazard associated with m a parts per thousand yen 7 events on the SJFZ increases significantly if the long record of simulated seismicity is taken into account. The model simulations indicate that the recent increased number of observed intermediate SJFZ earthquakes is a robust statistical feature heralding the occurrence of m a parts per thousand yen 7 earthquakes. The hypocenters of the m a parts per thousand yen 5 events in the simulation results move progressively towards the hypocenter of the upcoming m a parts per thousand yen 7 earthquake.},
  language  = {en}
}
@article{RungrottheeraSchulzeWong2014,
  author    = {Rungrottheera, Wannarut and Schulze, Bert-Wolfgang and Wong, M. W.},
  title     = {Iterative properties of pseudo-differential operators on edge spaces},
  series = {Journal of pseudo-differential operators and applications},
  volume    = {5},
  journal   = {Journal of pseudo-differential operators and applications},
  number    = {4},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1662-9981},
  doi       = {10.1007/s11868-014-0100-x},
  pages     = {455 -- 479},
  year      = {2014},
  abstract  = {Pseudo-differential operators with twisted symbolic estimates play a large role in the calculus on manifolds with edge singularities. We study here aspects of the underlying abstract concept and establish a new result on iteration of quantizations.},
  language  = {en}
}
@article{ZoellerHolschneider2014,
  author    = {Z{\"o}ller, Gert and Holschneider, Matthias},
  title     = {Induced seismicity: What is the size of the largest expected earthquake?},
  series = {The bulletin of the Seismological Society of America},
  volume    = {104},
  journal   = {The bulletin of the Seismological Society of America},
  number    = {6},
  publisher = {Seismological Society of America},
  address   = {Albany},
  issn      = {0037-1106},
  doi       = {10.1785/0120140195},
  pages     = {3153 -- 3158},
  year      = {2014},
  abstract  = {The injection of fluids is a well-known origin for the triggering of earthquake sequences. The growing number of projects related to enhanced geothermal systems, fracking, and others has led to the question, which maximum earthquake magnitude can be expected as a consequence of fluid injection? This question is addressed from the perspective of statistical analysis. Using basic empirical laws of earthquake statistics, we estimate the magnitude M-T of the maximum expected earthquake in a predefined future time window T-f. A case study of the fluid injection site at Paradox Valley, Colorado, demonstrates that the magnitude m 4.3 of the largest observed earthquake on 27 May 2000 lies very well within the expectation from past seismicity without adjusting any parameters. Vice versa, for a given maximum tolerable earthquake at an injection site, we can constrain the corresponding amount of injected fluids that must not be exceeded within predefined confidence bounds.},
  language  = {en}
}
@phdthesis{Ziese2014,
  author    = {Ziese, Ramona},
  title     = {Geometric electroelasticity},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-72504},
  school      = {Universit{\"a}t Potsdam},
  pages     = {vi, 113},
  year      = {2014},
  abstract  = {In this work a diffential geometric formulation of the theory of electroelasticity is developed which also includes thermal and magnetic influences. We study the motion of bodies consisting of an elastic material that are deformed by the influence of mechanical forces, heat and an external electromagnetic field. To this end physical balance laws (conservation of mass, balance of momentum, angular momentum and energy) are established. These provide an equation that describes the motion of the body during the deformation. Here the body and the surrounding space are modeled as Riemannian manifolds, and we allow that the body has a lower dimension than the surrounding space. In this way one is not (as usual) restricted to the description of the deformation of three-dimensional bodies in a three-dimensional space, but one can also describe the deformation of membranes and the deformation in a curved space. Moreover, we formulate so-called constitutive relations that encode the properties of the used material. Balance of energy as a scalar law can easily be formulated on a Riemannian manifold. The remaining balance laws are then obtained by demanding that balance of energy is invariant under the action of arbitrary diffeomorphisms on the surrounding space. This generalizes a result by Marsden and Hughes that pertains to bodies that have the same dimension as the surrounding space and does not allow the presence of electromagnetic fields. Usually, in works on electroelasticity the entropy inequality is used to decide which otherwise allowed deformations are physically admissible and which are not. It is alsoemployed to derive restrictions to the possible forms of constitutive relations describing the material. Unfortunately, the opinions on the physically correct statement of the entropy inequality diverge when electromagnetic fields are present. Moreover, it is unclear how to formulate the entropy inequality in the case of a membrane that is subjected to an electromagnetic field. Thus, we show that one can replace the use of the entropy inequality by the demand that for a given process balance of energy is invariant under the action of arbitrary diffeomorphisms on the surrounding space and under linear rescalings of the temperature. On the one hand, this demand also yields the desired restrictions to the form of the constitutive relations. On the other hand, it needs much weaker assumptions than the arguments in physics literature that are employing the entropy inequality. Again, our result generalizes a theorem of Marsden and Hughes. This time, our result is, like theirs, only valid for bodies that have the same dimension as the surrounding space.},
  language  = {en}
}