@unpublished{AizenbergTarkhanov2014,
  author    = {Aizenberg, Lev A. and Tarkhanov, Nikolai Nikolaevich},
  title     = {An integral formula for the number of lattice points in a domain},
  volume    = {3},
  number    = {3},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-70453},
  pages     = {7},
  year      = {2014},
  abstract  = {Using the multidimensional logarithmic residue we show a simple formula for the difference between the number of integer points in a bounded domain of R^n and the volume of this domain. The difference proves to be the integral of an explicit differential form over the boundary of the domain.},
  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{AmezcuaIdeKalnayetal.2014,
  author    = {Amezcua, Javier and Ide, Kayo and Kalnay, Eugenia and Reich, Sebastian},
  title     = {Ensemble transform Kalman-Bucy filters},
  series = {Quarterly journal of the Royal Meteorological Society},
  volume    = {140},
  journal   = {Quarterly journal of the Royal Meteorological Society},
  number    = {680},
  publisher = {Wiley-Blackwell},
  address   = {Hoboken},
  issn      = {0035-9009},
  doi       = {10.1002/qj.2186},
  pages     = {995 -- 1004},
  year      = {2014},
  abstract  = {Two recent works have adapted the Kalman-Bucy filter into an ensemble setting. In the first formulation, the ensemble of perturbations is updated by the solution of an ordinary differential equation (ODE) in pseudo-time, while the mean is updated as in the standard Kalman filter. In the second formulation, the full ensemble is updated in the analysis step as the solution of single set of ODEs in pseudo-time. Neither requires matrix inversions except for the frequently diagonal observation error covariance. We analyse the behaviour of the ODEs involved in these formulations. We demonstrate that they stiffen for large magnitudes of the ratio of background error to observational error variance, and that using the integration scheme proposed in both formulations can lead to failure. A numerical integration scheme that is both stable and is not computationally expensive is proposed. We develop transform-based alternatives for these Bucy-type approaches so that the integrations are computed in ensemble space where the variables are weights (of dimension equal to the ensemble size) rather than model variables. Finally, the performance of our ensemble transform Kalman-Bucy implementations is evaluated using three models: the 3-variable Lorenz 1963 model, the 40-variable Lorenz 1996 model, and a medium complexity atmospheric general circulation model known as SPEEDY. The results from all three models are encouraging and warrant further exploration of these assimilation techniques.},
  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{BaerenzungHolschneiderLesur2014,
  author    = {Baerenzung, Julien and Holschneider, Matthias and Lesur, Vincent},
  title     = {Bayesian inversion for the filtered flow at the Earth's core-mantle boundary},
  series = {Journal of geophysical research : Solid earth},
  volume    = {119},
  journal   = {Journal of geophysical research : Solid earth},
  number    = {4},
  publisher = {American Geophysical Union},
  address   = {Washington},
  issn      = {2169-9313},
  doi       = {10.1002/2013JB010358},
  pages     = {2695 -- 2720},
  year      = {2014},
  abstract  = {The inverse problem of determining the flow at the Earth's core-mantle boundary according to an outer core magnetic field and secular variation model has been investigated through a Bayesian formalism. To circumvent the issue arising from the truncated nature of the available fields, we combined two modeling methods. In the first step, we applied a filter on the magnetic field to isolate its large scales by reducing the energy contained in its small scales, we then derived the dynamical equation, referred as filtered frozen flux equation, describing the spatiotemporal evolution of the filtered part of the field. In the second step, we proposed a statistical parametrization of the filtered magnetic field in order to account for both its remaining unresolved scales and its large-scale uncertainties. These two modeling techniques were then included in the Bayesian formulation of the inverse problem. To explore the complex posterior distribution of the velocity field resulting from this development, we numerically implemented an algorithm based on Markov chain Monte Carlo methods. After evaluating our approach on synthetic data and comparing it to previously introduced methods, we applied it to a magnetic field model derived from satellite data for the single epoch 2005.0. We could confirm the existence of specific features already observed in previous studies. In particular, we retrieved the planetary scale eccentric gyre characteristic of flow evaluated under the compressible quasi-geostrophy assumption although this hypothesis was not considered in our study. In addition, through the sampling of the velocity field posterior distribution, we could evaluate the reliability, at any spatial location and at any scale, of the flow we calculated. The flow uncertainties we determined are nevertheless conditioned by the choice of the prior constraints we applied to the velocity field.},
  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{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{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{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{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}
}