@unpublished{AbutalebiClahsen2015,
  author    = {Abutalebi, Jubin and Clahsen, Harald},
  title     = {Bilingualism, cognition, and aging},
  series = {Bilingualism : language and cognition.},
  volume    = {18},
  journal   = {Bilingualism : language and cognition.},
  number    = {1},
  publisher = {Cambridge Univ. Press},
  address   = {New York},
  issn      = {1366-7289},
  doi       = {10.1017/S1366728914000741},
  pages     = {1 -- 2},
  year      = {2015},
  abstract  = {Extract: Topics in psycholinguistics and the neurocognition of language rarely attract the attention of journalists or the general public. One topic that has done so, however, is the potential benefits of bilingualism for general cognitive functioning and development, and as a precaution against cognitive decline in old age. Sensational claims have been made in the public domain, mostly by journalists and politicians. Recently (September 4, 2014) The Guardian reported that "learning a foreign language can increase the size of your brain", and Michael Gove, the UK's previous Education Secretary, noted in an interview with The Guardian (September 30, 2011) that "learning languages makes you smarter". The present issue of BLC addresses these topics by providing a state-of-the-art overview of theoretical and experimental research on the role of bilingualism for cognition in children and adults.},
  language  = {en}
}
@unpublished{AcharyaActisAghajanietal.2013,
  author    = {Acharya, B. S. and Actis, M. and Aghajani, T. and Agnetta, G. and Aguilar, J. and Aharonian, Felix A. and Ajello, M. and Akhperjanian, A. G. and Alcubierre, M. and Aleksic, J. and Alfaro, R. and Aliu, E. and Allafort, A. J. and Allan, D. and Allekotte, I. and Amato, E. and Anderson, J. and Ang{\"u}ner, Ekrem Oǧuzhan and Antonelli, L. A. and Antoranz, P. and Aravantinos, A. and Arlen, T. and Armstrong, T. and Arnaldi, H. and Arrabito, L. and Asano, K. and Ashton, T. and Asorey, H. G. and Awane, Y. and Baba, H. and Babic, A. and Baby, N. and Baehr, J. and Bais, A. and Baixeras, C. and Bajtlik, S. and Balbo, M. and Balis, D. and Balkowski, C. and Bamba, A. and Bandiera, R. and Barber, A. and Barbier, C. and Barcelo, M. and Barnacka, Anna and Barnstedt, J{\"u}rgen and Barres de Almeida, U. and Barrio, J. A. and Basili, A. and Basso, S. and Bastieri, D. and Bauer, C. and Baushev, Anton N. and Becerra Gonzalez, J. and Becherini, Yvonne and Bechtol, K. C. and Tjus, J. Becker and Beckmann, Volker and Bednarek, W. and Behera, B. and Belluso, M. and Benbow, W. and Berdugo, J. and Berger, K. and Bernard, F. and Bernardino, T. and Bernl{\"o}hr, K. and Bhat, N. and Bhattacharyya, S. and Bigongiari, C. and Biland, A. and Billotta, S. and Bird, T. and Birsin, E. and Bissaldi, E. and Biteau, Jonathan and Bitossi, M. and Blake, S. and Blanch Bigas, O. and Blasi, P. and Bobkov, A. A. and Boccone, V. and Boettcher, Markus and Bogacz, L. and Bogart, J. and Bogdan, M. and Boisson, Catherine and Boix Gargallo, J. and Bolmont, J. and Bonanno, G. and Bonardi, A. and Bonev, T. and Bonifacio, P. and Bonnoli, G. and Bordas, Pol and Borgland, A. W. and Borkowski, Janett and Bose, R. and Botner, O. and Bottani, A. and Bouchet, L. and Bourgeat, M. and Boutonnet, C. and Bouvier, A. and Brau-Nogue, S. and Braun, I. and Bretz, T. and Briggs, M. S. and Bringmann, T. and Brook, P. and Brun, Pierre and Brunetti, L. and Buanes, T. and Buckley, J. H. and Buehler, R. and Bugaev, V. and Bulgarelli, A. and Bulik, Tomasz and Busetto, G. and Buson, S. and Byrum, K. and Cailles, M. and Cameron, R. A. and Camprecios, J. and Canestrari, R. and Cantu, S. and Capalbi, M. and Caraveo, P. A. and Carmona, E. and Carosi, A. and Carr, John and Carton, P. H. and Casanova, Sabrina and Casiraghi, M. and Catalano, O. and Cavazzani, S. and Cazaux, S. and Cerruti, M. and Chabanne, E. and Chadwick, Paula M. and Champion, C. and Chen, Andrew and Chiang, J. and Chiappetti, L. and Chikawa, M. and Chitnis, V. R. and Chollet, F. and Chudoba, J. and Cieslar, M. and Cillis, A. N. and Cohen-Tanugi, J. and Colafrancesco, Sergio and Colin, P. and Calome, J. and Colonges, S. and Compin, M. and Conconi, P. and Conforti, V. and Connaughton, V. and Conrad, Jan and Contreras, J. 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T. and de Naurois, M. and de Oliveira, Y. and de Ona Wilhelmi, E. and de Souza, V. and Decerprit, G. and Decock, G. and Deil, C. and Delagnes, E. and Deleglise, G. and Delgado, C. and Della Volpe, D. and Demange, P. and Depaola, G. and Dettlaff, A. and Di Paola, A. and Di Pierro, F. and Diaz, C. and Dick, J. and Dickherber, R. and Dickinson, H. and Diez-Blanco, V. and Digel, S. and Dimitrov, D. and Disset, G. and Djannati-Ata{\"i}, A. and Doert, M. and Dohmke, M. and Domainko, W. and Prester, Dijana Dominis and Donat, A. and Dorner, D. and Doro, M. and Dournaux, J-L. and Drake, G. and Dravins, D. and Drury, L. and Dubois, F. and Dubois, R. and Dubus, G. and Dufour, C. and Dumas, D. and Dumm, J. and Durand, D. and Dyks, J. and Dyrda, M. and Ebr, J. and Edy, E. and Egberts, Kathrin and Eger, P. and Einecke, S. and Eleftheriadis, C. and Elles, S. and Emmanoulopoulos, D. and Engelhaupt, D. and Enomoto, R. and Ernenwein, J-P and Errando, M. and Etchegoyen, A. and Evans, P. and Falcone, A. and Fantinel, D. and Farakos, K. and Farnier, C. and Fasola, G. and Favill, B. and Fede, E. and Federici, S. and Fegan, S. and Feinstein, F. and Ferenc, D. and Ferrando, P. and Fesquet, M. and Fiasson, A. and Fillin-Martino, E. and Fink, D. and Finley, C. and Finley, J. 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  title     = {Introducing the CTA concept},
  series = {Astroparticle physics},
  volume    = {43},
  journal   = {Astroparticle physics},
  number    = {2},
  publisher = {Elsevier},
  address   = {Amsterdam},
  organization    = {CTA Consortium},
  issn      = {0927-6505},
  doi       = {10.1016/j.astropartphys.2013.01.007},
  pages     = {3 -- 18},
  year      = {2013},
  abstract  = {The Cherenkov Telescope Array (CTA) is a new observatory for very high-energy (VHE) gamma rays. CTA has ambitions science goals, for which it is necessary to achieve full-sky coverage, to improve the sensitivity by about an order of magnitude, to span about four decades of energy, from a few tens of GeV to above 100 TeV with enhanced angular and energy resolutions over existing VHE gamma-ray observatories. An international collaboration has formed with more than 1000 members from 27 countries in Europe, Asia, Africa and North and South America. In 2010 the CTA Consortium completed a Design Study and started a three-year Preparatory Phase which leads to production readiness of CTA in 2014. In this paper we introduce the science goals and the concept of CTA, and provide an overview of the project.},
  language  = {en}
}
@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}
}
@unpublished{Alsaedy2016,
  author    = {Alsaedy, Ammar},
  title     = {Variational primitive of a differential form},
  volume    = {5},
  number    = {4},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-89223},
  pages     = {8},
  year      = {2016},
  abstract  = {In this paper we specify the Dirichlet to Neumann operator related to the Cauchy problem for the gradient operator with data on a part of the boundary. To this end, we consider a nonlinear relaxation of this problem which is a mixed boundary problem of Zaremba type for the p-Laplace equation.},
  language  = {en}
}
@unpublished{AlsaedyTarkhanov2012,
  author    = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich},
  title     = {The method of Fischer-Riesz equations for elliptic boundary value problems},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-61792},
  year      = {2012},
  abstract  = {We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem.},
  language  = {en}
}
@unpublished{AlsaedyTarkhanov2015,
  author    = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich},
  title     = {Weak boundary values of solutions of Lagrangian problems},
  volume    = {4},
  number    = {2},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-72617},
  pages     = {24},
  year      = {2015},
  abstract  = {We define weak boundary values of solutions to those nonlinear differential equations which appear as Euler-Lagrange equations of variational problems. As a result we initiate the theory of Lagrangian boundary value problems in spaces of appropriate smoothness. We also analyse if the concept of mapping degree of current importance applies to the study of Lagrangian problems.},
  language  = {en}
}
@unpublished{AlsaedyTarkhanov2012,
  author    = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich},
  title     = {Spectral projection for the dbar-Neumann problem},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-58616},
  year      = {2012},
  abstract  = {We show that the spectral kernel function of the dbar-Neumann problem on a non-compact strongly pseudoconvex manifold is smooth up to the boundary.},
  language  = {en}
}
@unpublished{AlsaedyTarkhanov2016,
  author    = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich},
  title     = {A Hilbert boundary value problem for generalised Cauchy-Riemann equations},
  volume    = {5},
  number    = {1},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-86109},
  pages     = {21},
  year      = {2016},
  abstract  = {We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations. The boundary value problem need not satisfy the Shapiro-Lopatinskij condition and so it fails to be Fredholm in Sobolev spaces. We show a solvability condition of the Hilbert problem, which looks like those for ill-posed problems, and construct an explicit formula for approximate solutions.},
  language  = {en}
}
@unpublished{Angelow2015,
  author    = {Angelow, J{\"u}rgen},
  title     = {Latest representations and perspectives on the outbreak of the first world war},
  series = {Historisches Jahrbuch},
  volume    = {135},
  journal   = {Historisches Jahrbuch},
  publisher = {Alber},
  address   = {Freiburg Breisgau},
  issn      = {0018-2621},
  pages     = {569 -- 583},
  year      = {2015},
  language  = {de}
}
@unpublished{AntonioukKiselevStepanenkoetal.2012,
  author    = {Antoniouk, Alexandra Viktorivna and Kiselev, Oleg and Stepanenko, Vitaly and Tarkhanov, Nikolai Nikolaevich},
  title     = {Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-61987},
  year      = {2012},
  abstract  = {The Dirichlet problem for the heat equation in a bounded domain is characteristic, for there are boundary points at which the boundary touches a characteristic hyperplane t = c, c being a constant. It was I.G. Petrovskii (1934) who first found necessary and sufficient conditions on the boundary which guarantee that the solution is continuous up to the characteristic point, provided that the Dirichlet data are continuous. This paper initiated standing interest in studying general boundary value problems for parabolic equations in bounded domains. We contribute to the study by constructing a formal solution of the Dirichlet problem for the heat equation in a neighbourhood of a characteristic boundary point and showing its asymptotic character.},
  language  = {en}
}
@unpublished{AsendorpfConnerDeFruytetal.2013,
  author    = {Asendorpf, Jens B. and Conner, Mark and De Fruyt, Filip and De Houwer, Jan and Denissen, Jaap J. A. and Fiedler, Klaus and Fiedler, Susann and Funder, David C. and Kliegl, Reinhold and Nosek, Brian A. and Perugini, Marco and Roberts, Brent W. and Schmitt, Manfred and Van Aken, Marcel A. G. and Weber, Hannelore and Wicherts, Jelte M.},
  title     = {Replication is more than hitting the lottery twice},
  series = {European journal of personality},
  volume    = {27},
  journal   = {European journal of personality},
  number    = {2},
  publisher = {Wiley-Blackwell},
  address   = {Hoboken},
  issn      = {0890-2070},
  pages     = {138 -- 144},
  year      = {2013},
  abstract  = {The main goal of our target article was to provide concrete recommendations for improving the replicability of research findings. Most of the comments focus on this point. In addition, a few comments were concerned with the distinction between replicability and generalizability and the role of theory in replication. We address all comments within the conceptual structure of the target article and hope to convince readers that replication in psychological science amounts to much more than hitting the lottery twice.},
  language  = {en}
}
@unpublished{BagderinaTarkhanov2013,
  author    = {Bagderina, Yulia Yu. and Tarkhanov, Nikolai Nikolaevich},
  title     = {Differential invariants of a class of Lagrangian systems with two degrees of freedom},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63129},
  year      = {2013},
  abstract  = {We consider systems of Euler-Lagrange equations with two degrees of freedom and with Lagrangian being quadratic in velocities. For this class of equations the generic case of the equivalence problem is solved with respect to point transformations. Using Lie's infinitesimal method we construct a basis of differential invariants and invariant differentiation operators for such systems. We describe certain types of Lagrangian systems in terms of their invariants. The results are illustrated by several examples.},
  language  = {en}
}
@unpublished{BagdonavičiusLevulieneNikulinetal.2004,
  author    = {Bagdonavičius, Vilijandas B. and Levuliene, Ruta and Nikulin, Mikhail S. and Zdorova-Cheminade, Olga},
  title     = {Tests for homogeneity of survival distributions against non-location alternatives and analysis of the gastric cancer data},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51527},
  year      = {2004},
  abstract  = {The two and k-sample tests of equality of the survival distributions against the alternatives including cross-effects of survival functions, proportional and monotone hazard ratios, are given for the right censored data. The asymptotic power against approaching alternatives is investigated. The tests are applied to the well known chemio and radio therapy data of the Gastrointestinal Tumor Study Group. The P-values for both proposed tests are much smaller then in the case of other known tests. Differently from the test of Stablein and Koutrouvelis the new tests can be applied not only for singly but also to randomly censored data.},
  language  = {en}
}
@unpublished{Balazadeh2014,
  author    = {Balazadeh, Salma},
  title     = {Stay-green not always stays green},
  series = {Molecular plant},
  volume    = {7},
  journal   = {Molecular plant},
  number    = {8},
  publisher = {Cell Press},
  address   = {Cambridge},
  issn      = {1674-2052},
  doi       = {10.1093/mp/ssu076},
  pages     = {1264 -- 1266},
  year      = {2014},
  language  = {en}
}
@unpublished{BaretBelderBieretal.2012,
  author    = {Baret, Jean-Christophe and Belder, Detlev and Bier, Frank Fabian and Cao, Jialan and Gruschke, Oliver and Hardt, Steffen and Kirschbaum, Michael and Koehler, J. Michael and Schumacher, Soeren and Urban, G. A. and Viefhues, Martina},
  title     = {Contributors to the 10th Anniversary Germany issue},
  series = {LAB on a chip : miniaturisation for chemistry and biology},
  volume    = {12},
  journal   = {LAB on a chip : miniaturisation for chemistry and biology},
  number    = {3},
  publisher = {Royal Society of Chemistry},
  address   = {Cambridge},
  issn      = {1473-0197},
  doi       = {10.1039/c1lc90139g},
  pages     = {419 -- 421},
  year      = {2012},
  language  = {en}
}
@unpublished{BaudisBehlLendlein2014,
  author    = {Baudis, Stefan and Behl, Marc and Lendlein, Andreas},
  title     = {Smart polymers for biomedical applications},
  series = {Macromolecular chemistry and physics},
  volume    = {215},
  journal   = {Macromolecular chemistry and physics},
  number    = {24},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {1022-1352},
  doi       = {10.1002/macp.201400561},
  pages     = {2399 -- 2402},
  year      = {2014},
  language  = {en}
}
@unpublished{BaumannKuegler2015,
  author    = {Baumann, Stefan and K{\"u}gler, Frank},
  title     = {Prosody and information status in typological perspective - Introduction to the Special Issue},
  series = {Lingua : international review of general linguistics},
  volume    = {165},
  journal   = {Lingua : international review of general linguistics},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0024-3841},
  doi       = {10.1016/j.lingua.2015.08.001},
  pages     = {179 -- 182},
  year      = {2015},
  language  = {en}
}
@unpublished{BaurHoffmannReichmuthetal.2012,
  author    = {Baur, Heiner and Hoffmann, Jan and Reichmuth, Anne and M{\"u}ller, Steffen and Mayer, Frank},
  title     = {Influence of carbon fiber foot orthoses on plantar pressure distribution in cycling},
  series = {Sportverletzung, Sportschaden : Grundlagen, Pr{\"a}vention, Rehabilitation},
  volume    = {26},
  journal   = {Sportverletzung, Sportschaden : Grundlagen, Pr{\"a}vention, Rehabilitation},
  number    = {1},
  publisher = {Thieme},
  address   = {Stuttgart},
  issn      = {0932-0555},
  pages     = {12 -- 17},
  year      = {2012},
  abstract  = {Background: Several equipment interventions like optimizing seat position or optimizing shoe/insole/pedal interface are suggested to reduce overuse injury in cycling. Data analyzing clinical or biomechanical effects of those interventions is sparse. Foot orthoses out of carbon fiber are one possibility to alter the interface between foot and pedal. The aim of this study was therefore to analyze plantar pressure distribution in carbon fiber foot orthoses in comparison to standard insoles of commercially available cycling shoes. Materials and Methods: 11 pain-free triathletes (Age: 29 +/- 9, 1.77 +/- 0.04 m, 68 5 kg) were tested on a cycle ergometer at 60 and 90 rotations per minute (rpm) at workloads of 200 and 300 Watts. Subjects wore in randomized order a cycling shoe with its standard insole (control condition CO) or the shoe with carbon fiber foot orthoses (Condition CA). Mean peak pressure out of 30 movement cycles were extracted for the total foot and specific foot regions (rear, mid, fore foot (medial, central, lateral) and toe region). Three-factor ANOVAs (factor foot orthoses, rpm, workload) for repeated measures (alpha = 0.05) were used to analyze the main question of a foot orthoses effect on peak in-shoe plantar pressure. Results: Peak pressures in the total foot were in a range of 70-75 kPa for 200 Watts (W) (300 W: 85-110 kPa). The carbon fiber foot orthoses reduced peak pressures by -4,1\% compared to the standard insole (p = 0,10). In the foot regions rear(-16,6\%, p<0.001), mid (-20,0\%, p<0.001) and fore foot (-5.9\%, p < 0.03)CA reduced peak pressure compared to CO. In the toe region, peak pressure was higher in CA (+16,2\%) compared to CO (p<0,001). The lateral fore foot showed higher peak pressures in CA (+34\%) and CO (+59\%) compared to medial and central fore foot. Conclusion: Carbon fiber can serve as a suitable material for foot orthoses manufacturing in cycling. Plantar pressures do not increase due to the stiffness of the carbon. Individual customization may have the potential to reduce peak pressure in certain foot areas.},
  language  = {de}
}
@unpublished{BlanchardDelattreRoquain2012,
  author    = {Blanchard, Gilles and Delattre, Sylvain and Roquain, {\´E}tienne},
  title     = {Testing over a continuum of null hypotheses},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-56877},
  year      = {2012},
  abstract  = {We introduce a theoretical framework for performing statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses. This extends the standard statistical setting for multiple hypotheses testing, which is restricted to a finite set. This work is motivated by numerous modern applications where the observed signal is modeled by a stochastic process over a continuum. As a measure of type I error, we extend the concept of false discovery rate (FDR) to this setting. The FDR is defined as the average ratio of the measure of two random sets, so that its study presents some challenge and is of some intrinsic mathematical interest. Our main result shows how to use the p-value process to control the FDR at a nominal level, 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, the latter one leading to a less conservative procedure. The interest of this approach 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. Conceptually, an interesting feature of the setting advocated here is that it focuses directly on the intrinsic hypothesis space associated with a testing model on a random process, without referring to an arbitrary discretization.},
  language  = {en}
}
@unpublished{BlanchardKraemer2016,
  author    = {Blanchard, Gilles and Kr{\"a}mer, Nicole},
  title     = {Convergence rates of kernel conjugate gradient for random design regression},
  volume    = {5},
  number    = {8},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-94195},
  pages     = {31},
  year      = {2016},
  abstract  = {We prove statistical rates of convergence for kernel-based least squares regression from i.i.d. data using a conjugate gradient algorithm, where regularization against overfitting is obtained by early stopping. This method is related to Kernel Partial Least Squares, a regression method that combines supervised dimensionality reduction with least squares projection. Following the setting introduced in earlier related literature, we study so-called "fast convergence rates" depending on the regularity of the target regression function (measured by a source condition in terms of the kernel integral operator) and on the effective dimensionality of the data mapped into the kernel space. We obtain upper bounds, essentially matching known minimax lower bounds, for the L^2 (prediction) norm as well as for the stronger Hilbert norm, if the true regression function belongs to the reproducing kernel Hilbert space. If the latter assumption is not fulfilled, we obtain similar convergence rates for appropriate norms, provided additional unlabeled data are available.},
  language  = {en}
}
@unpublished{BlanchardMathe2012,
  author    = {Blanchard, Gilles and Math{\´e}, Peter},
  title     = {Discrepancy principle for statistical inverse problems with application to conjugate gradient iteration},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-57117},
  year      = {2012},
  abstract  = {The authors discuss the use of the discrepancy principle for statistical inverse problems, when the underlying operator is of trace class. Under this assumption the discrepancy principle is well defined, however a plain use of it may occasionally fail and it will yield sub-optimal rates. Therefore, a modification of the discrepancy is introduced, which takes into account both of the above deficiencies. For a variety of linear regularization schemes as well as for conjugate gradient iteration this modification is shown to yield order optimal a priori error bounds under general smoothness assumptions. A posteriori error control is also possible, however at a sub-optimal rate, in general. This study uses and complements previous results for bounded deterministic noise.},
  language  = {en}
}
@unpublished{BlanchardMuecke2016,
  author    = {Blanchard, Gilles and M{\"u}cke, Nicole},
  title     = {Optimal rates for regularization of statistical inverse learning problems},
  volume    = {5},
  number    = {5},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-89782},
  pages     = {36},
  year      = {2016},
  abstract  = {We consider a statistical inverse learning problem, where we observe the image of a function f through a linear operator A at i.i.d. random design points X_i, superposed with an additional noise. The distribution of the design points is unknown and can be very general. We analyze simultaneously the direct (estimation of Af) and the inverse (estimation of f) learning problems. In this general framework, we obtain strong and weak minimax optimal rates of convergence (as the number of observations n grows large) for a large class of spectral regularization methods over regularity classes defined through appropriate source conditions. This improves on or completes previous results obtained in related settings. The optimality of the obtained rates is shown not only in the exponent in n but also in the explicit dependence of the constant factor in the variance of the noise and the radius of the source condition set.},
  language  = {en}
}
@unpublished{BraunBrechenmacherDambergetal.2014,
  author    = {Braun, Karl-Heinz and Brechenmacher, Thomas and Damberg, Wilhelm and Felten, Franz J. and Kampmann, Christoph and Koerner, Hans-Michael and Schindling, Anton},
  title     = {Editiorial},
  series = {Historisches Jahrbuch},
  volume    = {134},
  journal   = {Historisches Jahrbuch},
  publisher = {Alber},
  address   = {Freiburg Breisgau},
  issn      = {0018-2621},
  pages     = {IX -- IX},
  year      = {2014},
  language  = {de}
}
@unpublished{BurgoldFrenzelRolfes2013,
  author    = {Burgold, Julia and Frenzel, Fabian and Rolfes, Manfred},
  title     = {Observations on slums and their touristification},
  series = {Die Erde : journal of the Geographical Society of Berlin ; Zeitschrift der Gesellschaft f{\"u}r Erdkunde zu Berlin},
  volume    = {144},
  journal   = {Die Erde : journal of the Geographical Society of Berlin ; Zeitschrift der Gesellschaft f{\"u}r Erdkunde zu Berlin},
  number    = {2},
  publisher = {Gesellschaft f{\"u}r Erdkunde},
  address   = {Berlin},
  issn      = {0013-9998},
  pages     = {CP2 -- 104},
  year      = {2013},
  language  = {en}
}
@unpublished{Baer2012,
  author    = {B{\"a}r, Christian},
  title     = {Renormalized integrals and a path integral formula for the heat kernel on a manifold},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60052},
  year      = {2012},
  abstract  = {We introduce renormalized integrals which generalize conventional measure theoretic integrals. One approximates the integration domain by measure spaces and defines the integral as the limit of integrals over the approximating spaces. This concept is implicitly present in many mathematical contexts such as Cauchy's principal value, the determinant of operators on a Hilbert space and the Fourier transform of an L^p function. We use renormalized integrals to define a path integral on manifolds by approximation via geodesic polygons. The main part of the paper is dedicated to the proof of a path integral formula for the heat kernel of any self-adjoint generalized Laplace operator acting on sections of a vector bundle over a compact Riemannian manifold.},
  language  = {en}
}
@unpublished{Baer2012,
  author    = {B{\"a}r, Christian},
  title     = {Some properties of solutions to weakly hypoelliptic equations},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60064},
  year      = {2012},
  abstract  = {A linear differential operator L is called weakly hypoelliptic if any local solution u of Lu = 0 is smooth. We allow for systems, i.e. the coefficients may be matrices, not necessarily of square size. This is a huge class of important operators which covers all elliptic, overdetermined elliptic, subelliptic and parabolic equations. We extend several classical theorems from complex analysis to solutions of any weakly hypoelliptic equation: the Montel theorem providing convergent subsequences, the Vitali theorem ensuring convergence of a given sequence, and Riemann's first removable singularity theorem. In the case of constant coefficients we show that Liouville's theorem holds, any bounded solution must be constant and any L^p solution must vanish.},
  language  = {en}
}
@unpublished{BaerBallmann2012,
  author    = {B{\"a}r, Christian and Ballmann, Werner},
  title     = {Boundary value problems for elliptic differential operators of first order},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-60023},
  year      = {2012},
  abstract  = {We study boundary value problems for linear elliptic differential operators of order one. The underlying manifold may be noncompact, but the boundary is assumed to be compact. We require a symmetry property of the principal symbol of the operator along the boundary. This is satisfied by Dirac type operators, for instance. We provide a selfcontained introduction to (nonlocal) elliptic boundary conditions, boundary regularity of solutions, and index theory. In particular, we simplify and generalize the traditional theory of elliptic boundary value problems for Dirac type operators. We also prove a related decomposition theorem, a general version of Gromov and Lawson's relative index theorem and a generalization of the cobordism theorem.},
  language  = {en}
}
@unpublished{BaerGinoux2012,
  author    = {B{\"a}r, Christian and Ginoux, Nicolas},
  title     = {Classical and quantum fields on Lorentzian manifolds},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59973},
  year      = {2012},
  abstract  = {We construct bosonic and fermionic locally covariant quantum fields theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.},
  language  = {en}
}
@unpublished{BaerPfaeffle2012,
  author    = {B{\"a}r, Christian and Pf{\"a}ffle, Frank},
  title     = {Wiener measures on Riemannian manifolds and the Feynman-Kac formula},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59998},
  year      = {2012},
  abstract  = {This is an introduction to Wiener measure and the Feynman-Kac formula on general Riemannian manifolds for Riemannian geometers with little or no background in stochastics. We explain the construction of Wiener measure based on the heat kernel in full detail and we prove the Feynman-Kac formula for Schr{\"o}dinger operators with bounded potentials. We also consider normal Riemannian coverings and show that projecting and lifting of paths are inverse operations which respect the Wiener measure.},
  language  = {en}
}
@unpublished{BuehlerRabuTaubert2012,
  author    = {B{\"u}hler, Markus J. and Rabu, Pierre and Taubert, Andreas},
  title     = {Advanced hybrid materials - design and applications},
  series = {European journal of inorganic chemistry : a journal of ChemPubSoc Europe},
  journal   = {European journal of inorganic chemistry : a journal of ChemPubSoc Europe},
  number    = {32},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {1434-1948},
  doi       = {10.1002/ejic.201201263},
  pages     = {5092 -- 5093},
  year      = {2012},
  language  = {en}
}
@unpublished{Buerger2014,
  author    = {B{\"u}rger, Gerd},
  title     = {Comment on "Bias correction, quantile mapping, and downscaling: revisiting the inflation issue"},
  series = {Journal of climate},
  volume    = {27},
  journal   = {Journal of climate},
  number    = {4},
  publisher = {American Meteorological Soc.},
  address   = {Boston},
  issn      = {0894-8755},
  doi       = {10.1175/JCLI-D-13-00184.1},
  pages     = {1819 -- 1820},
  year      = {2014},
  abstract  = {In a recent paper, Maraun describes the adverse effects of quantile mapping on downscaling. He argues that when large-scale GCM variables are rescaled directly to small-scale fields or even station data, genuine small-scale covariability is lost and replaced by uniform variability inherited from the larger scales. This leads to a misrepresentation mainly of areal means and long-term trends. This comment acknowledges the former point, although the argument is relatively old, but disagrees with the latter, showing that grid-size long-term trends can be different from local trends. Finally, because it is partly incorrectly addressed, some clarification is added regarding the inflation issue, stressing that neither randomization nor inflation is free of unverified assumptions.},
  language  = {en}
}
@unpublished{CaliendoKritikos2012,
  author    = {Caliendo, Marco and Kritikos, Alexander},
  title     = {Searching for the entrepreneurial personality New evidence and avenues for further research},
  series = {Journal of economic psychology : research in economic psychology and behavioral economics},
  volume    = {33},
  journal   = {Journal of economic psychology : research in economic psychology and behavioral economics},
  number    = {2},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0167-4870},
  doi       = {10.1016/j.joep.2011.06.001},
  pages     = {319 -- 324},
  year      = {2012},
  language  = {en}
}
@unpublished{CaligioreFischer2013,
  author    = {Caligiore, Daniele and Fischer, Martin H.},
  title     = {Vision, action and language unified through embodiment},
  series = {Psychological research : an international journal of perception, attention, memory, and action},
  volume    = {77},
  journal   = {Psychological research : an international journal of perception, attention, memory, and action},
  number    = {1},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {0340-0727},
  doi       = {10.1007/s00426-012-0417-0},
  pages     = {1 -- 6},
  year      = {2013},
  language  = {en}
}
@unpublished{CalvoSchulze2005,
  author    = {Calvo, D. and Schulze, Bert-Wolfgang},
  title     = {Edge symbolic structures of second generation},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29940},
  year      = {2005},
  abstract  = {Operators on a manifold with (geometric) singularities are degenerate in a natural way. They have a principal symbolic structure with contributions from the different strata of the configuration. We study the calculus of such operators on the level of edge symbols of second generation, based on specific quantizations of the corner-degenerate interior symbols, and show that this structure is preserved under compositions.},
  language  = {en}
}
@unpublished{CescaDostOth2013,
  author    = {Cesca, Simone and Dost, Bernard and Oth, Adrien},
  title     = {Preface to the special issue "Triggered and induced seismicity: probabilities and discrimination"},
  series = {Journal of seismology},
  volume    = {17},
  journal   = {Journal of seismology},
  number    = {1},
  publisher = {Springer},
  address   = {Dordrecht},
  issn      = {1383-4649},
  doi       = {10.1007/s10950-012-9338-z},
  pages     = {1 -- 4},
  year      = {2013},
  language  = {en}
}
@unpublished{ChattopadhyayChakrabortyGrossartetal.2015,
  author    = {Chattopadhyay, Madhab K. and Chakraborty, Ranadhir and Grossart, Hans-Peter and Reddy, Gundlapally S. and Jagannadham, Medicharla V.},
  title     = {Antibiotic resistance of bacteria},
  series = {BioMed research international},
  journal   = {BioMed research international},
  publisher = {Hindawi Publishing Corp.},
  address   = {New York},
  issn      = {2314-6133},
  doi       = {10.1155/2015/501658},
  pages     = {2},
  year      = {2015},
  language  = {en}
}
@unpublished{CierjacksKowarikJoshietal.2013,
  author    = {Cierjacks, Arne and Kowarik, Ingo and Joshi, Jasmin Radha and Hempel, Stefan and Ristow, Michael and von der Lippe, Moritz and Weber, Ewald},
  title     = {Biological flora of the british isles: robinia pseudoacacia},
  series = {The journal of ecology},
  volume    = {101},
  journal   = {The journal of ecology},
  number    = {6},
  publisher = {Wiley-Blackwell},
  address   = {Hoboken},
  issn      = {0022-0477},
  doi       = {10.1111/1365-2745.12162},
  pages     = {1623 -- 1640},
  year      = {2013},
  abstract  = {This account presents information on all aspects of the biology of Robinia pseudoacacia L. that are relevant to understanding its ecological characteristics and behaviour. The main topics are presented within the standard framework of the Biological Flora of the British Isles: distribution, habitat, communities, responses to biotic factors, responses to environment, structure and physiology, phenology, floral and seed characters, herbivores and disease, and history and conservation.Robinia pseudoacacia, false acacia or black locust, is a deciduous, broad-leaved tree native to North America. The medium-sized, fast-growing tree is armed with spines, and extensively suckering. It has become naturalized in grassland, semi-natural woodlands and urban habitats. The tree is common in the south of the British Isles and in many other regions of Europe.Robinia pseudoacacia is a light-demanding pioneer species, which occurs primarily in disturbed sites on fertile to poor soils. The tree does not tolerate wet or compacted soils. In contrast to its native range, where it rapidly colonizes forest gaps and is replaced after 15-30years by more competitive tree species, populations in the secondary range can persist for a longer time, probably due to release from natural enemies.Robinia pseudoacacia reproduces sexually, and asexually by underground runners. Disturbance favours clonal growth and leads to an increase in the number of ramets. Mechanical stem damage and fires also lead to increased clonal recruitment. The tree benefits from di-nitrogen fixation associated with symbiotic rhizobia in root nodules. Estimated symbiotic nitrogen fixation rates range widely from 23 to 300kgha(-1)year(-1). The nitrogen becomes available to other plants mainly by the rapid decay of nitrogen-rich leaves.Robinia pseudoacacia is host to a wide range of fungi both in the native and introduced ranges. Megaherbivores are of minor significance in Europe but browsing by ungulates occurs in the native range. Among insects, the North American black locust gall midge (Obolodiplosis robiniae) is specific to Robinia and is spreading rapidly throughout Europe. In parts of Europe, Robinia pseudoacacia is considered an invasive non-indigenous plant and the tree is controlled. Negative impacts include shading and changes of soil conditions as a result of nitrogen fixation.},
  language  = {en}
}
@unpublished{Conforti2015,
  author    = {Conforti, Giovanni},
  title     = {Reciprocal classes of continuous time Markov Chains},
  volume    = {4},
  number    = {8},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-78234},
  pages     = {198},
  year      = {2015},
  abstract  = {In this work we study reciprocal classes of Markov walks on graphs. Given a continuous time reference Markov chain on a graph, its reciprocal class is the set of all probability measures which can be represented as a mixture of the bridges of the reference walks. We characterize reciprocal classes with two different approaches. With the first approach we found it as the set of solutions to duality formulae on path space, where the differential operators have the interpretation of the addition of infinitesimal random loops to the paths of the canonical process. With the second approach we look at short time asymptotics of bridges. Both approaches allow an explicit computation of reciprocal characteristics, which are divided into two families, the loop characteristics and the arc characteristics. They are those specific functionals of the generator of the reference chain which determine its reciprocal class. We look at the specific examples such as Cayley graphs, the hypercube and planar graphs. Finally we establish the first concentration of measure results for the bridges of a continuous time Markov chain based on the reciprocal characteristics.},
  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}
}
@unpublished{ConfortiLeonardMurretal.2014,
  author    = {Conforti, Giovanni and L{\´e}onard, Christian and Murr, R{\"u}diger and Roelly, Sylvie},
  title     = {Bridges of Markov counting processes : reciprocal classes and duality formulas},
  volume    = {3},
  number    = {9},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-71855},
  pages     = {12},
  year      = {2014},
  abstract  = {Processes having the same bridges are said to belong to the same reciprocal class. In this article we analyze reciprocal classes of Markov counting processes by identifying their reciprocal invariants and we characterize them as the set of counting processes satisfying some duality formula.},
  language  = {en}
}
@unpublished{ConfortiRoelly2015,
  author    = {Conforti, Giovanni and Roelly, Sylvie},
  title     = {Reciprocal class of random walks on an Abelian group},
  volume    = {4},
  number    = {1},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  issn      = {2193-6943},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-72604},
  pages     = {22},
  year      = {2015},
  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 a continuous time random walk with values in a countable Abelian group, we compute explicitly its reciprocal characteristics and we present an integral characterization of it. Our main tool is a new iterated version of the celebrated Mecke's formula from the point process theory, which allows us to study, as transformation on the path space, the addition of random loops. Thanks to the lattice structure of the set of loops, we even obtain a sharp characterization. At the end, we discuss several examples to illustrate the richness of reciprocal classes. We observe how their structure depends on the algebraic properties of the underlying group.},
  language  = {en}
}
@unpublished{D'Aprile2012,
  author    = {D'Aprile, Iwan-Michelangelo},
  title     = {Friedrich 300 (1712-2012) a balance between},
  series = {Zeitschrift f{\"u}r Germanistik},
  volume    = {22},
  journal   = {Zeitschrift f{\"u}r Germanistik},
  number    = {2},
  publisher = {Lang},
  address   = {Bern},
  issn      = {0323-7982},
  pages     = {388 -- 392},
  year      = {2012},
  language  = {de}
}
@unpublished{daConceicaoHeldtKochLiese2014,
  author    = {da Conceicao-Heldt, Eugenia and Koch, Martin and Liese, Andrea Margit},
  title     = {International organizations autonomy, politicization, interorganizational relations and change foreword},
  series = {Politische Vierteljahresschrift : Zeitschrift der Deutschen Vereinigung f{\"u}r Politische Wissenschaft},
  journal   = {Politische Vierteljahresschrift : Zeitschrift der Deutschen Vereinigung f{\"u}r Politische Wissenschaft},
  publisher = {Nomos},
  address   = {Hannover},
  issn      = {0032-3470},
  pages     = {3 -- 3},
  year      = {2014},
  language  = {de}
}
@unpublished{daConceicaoHeldtKochLiese2014,
  author    = {da Conceicao-Heldt, Eugenia and Koch, Martin and Liese, Andrea Margit},
  title     = {International organisations as research subject. Or: "About Blind and the Shape of the Elephant"},
  series = {Politische Vierteljahresschrift : Zeitschrift der Deutschen Vereinigung f{\"u}r Politische Wissenschaft},
  journal   = {Politische Vierteljahresschrift : Zeitschrift der Deutschen Vereinigung f{\"u}r Politische Wissenschaft},
  publisher = {Nomos},
  address   = {Hannover},
  issn      = {0032-3470},
  pages     = {4 -- 27},
  year      = {2014},
  language  = {de}
}
@unpublished{Daviter2015,
  author    = {Daviter, Falk},
  title     = {The political use of knowledge in the policy process},
  series = {Policy sciences : integrating knowledge and practice to advance human dignity},
  volume    = {48},
  journal   = {Policy sciences : integrating knowledge and practice to advance human dignity},
  number    = {4},
  publisher = {Springer},
  address   = {Dordrecht},
  issn      = {0032-2687},
  doi       = {10.1007/s11077-015-9232-y},
  pages     = {491 -- 505},
  year      = {2015},
  abstract  = {The role of knowledge in the policy process remains a central theoretical puzzle in policy analysis and political science. This article argues that an important yet missing piece of this puzzle is the systematic exploration of the political use of policy knowledge. While much of the recent debate has focused on the question of how the substantive use of knowledge can improve the quality of policy choices, our understanding of the political use of knowledge and its effects in the policy process has remained deficient in key respects. A revised conceptualization of the political use of knowledge is introduced that emphasizes how conflicting knowledge can be used to contest given structures of policy authority. This allows the analysis to differentiate between knowledge creep and knowledge shifts as two distinct types of knowledge effects in the policy process. While knowledge creep is associated with incremental policy change within existing policy structures, knowledge shifts are linked to more fundamental policy change in situations when the structures of policy authority undergo some level of transformation. The article concludes by identifying characteristics of the administrative structure of policy systems or sectors that make knowledge shifts more or less likely.},
  language  = {en}
}
@unpublished{deAraujoBatallaVillanuevaBronstert2014,
  author    = {de Araujo, Jose Carlos and Batalla Villanueva, Ramon J. and Bronstert, Axel},
  title     = {Special issue: analysis and modelling of sediment transfer in Mediterranean river basins},
  series = {Journal of soils and sediments : protection, risk assessment and remediation},
  volume    = {14},
  journal   = {Journal of soils and sediments : protection, risk assessment and remediation},
  number    = {12},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {1439-0108},
  doi       = {10.1007/s11368-014-1000-7},
  pages     = {1905 -- 1908},
  year      = {2014},
  language  = {en}
}
@unpublished{DebusscheHoegeleImkeller2013,
  author    = {Debussche, Arnaud and Hoegele, Michael and Imkeller, Peter},
  title     = {The dynamics of nonlinear reaction-diffusion equations with small levy noise preface},
  series = {Lecture notes in mathematics : a collection of informal reports and seminars},
  volume    = {2085},
  journal   = {Lecture notes in mathematics : a collection of informal reports and seminars},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {978-3-319-00828-8; 978-3-319-00827-1},
  issn      = {0075-8434},
  pages     = {V -- +},
  year      = {2013},
  language  = {en}
}
@unpublished{DebusscheHoegeleImkeller2013,
  author    = {Debussche, Arnaud and H{\"o}gele, Michael and Imkeller, Peter},
  title     = {The dynamics of nonlinear reaction-diffusion equations with small levy noise},
  series = {Lecture notes in mathematics : a collection of informal reports and seminars},
  volume    = {2085},
  journal   = {Lecture notes in mathematics : a collection of informal reports and seminars},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {978-3-319-00828-8; 978-3-319-00827-1},
  issn      = {0075-8434},
  doi       = {10.1007/978-3-319-00828-8_1},
  pages     = {1 -- 10},
  year      = {2013},
  abstract  = {Our primary interest in this book lies in the study of dynamical properties of reaction-diffusion equations perturbed by L{\´e}vy noise of intensity ? in the small noise limit ??0 .},
  language  = {en}
}
@unpublished{DemircanScheelSeehafer1999,
  author    = {Demircan, Ayhan and Scheel, Stefan and Seehafer, Norbert},
  title     = {Heteroclinic behavior in rotating Rayleigh-B{\´e}nard convection},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14914},
  year      = {1999},
  abstract  = {We investigate numerically the appearance of heteroclinic behavior in a three-dimensional, buoyancy-driven fluid layer with stress-free top and bottom boundaries, a square horizontal periodicity with a small aspect ratio, and rotation at low to moderate rates about a vertical axis. The Prandtl number is 6.8. If the rotation is not too slow, the skewed-varicose instability leads from stationary rolls to a stationary mixed-mode solution, which in turn loses stability to a heteroclinic cycle formed by unstable roll states and connections between them. The unstable eigenvectors of these roll states are also of the skewed-varicose or mixed-mode type and in some parameter regions skewed-varicose like shearing oscillations as well as square patterns are involved in the cycle. Always present weak noise leads to irregular horizontal translations of the convection pattern and makes the dynamics chaotic, which is verified by calculating Lyapunov exponents. In the nonrotating case, the primary rolls lose, depending on the aspect ratio, stability to traveling waves or a stationary square pattern. We also study the symmetries of the solutions at the intermittent fixed points in the heteroclinic cycle.},
  language  = {en}
}
@unpublished{DemircanSeehafer2000,
  author    = {Demircan, Ayhan and Seehafer, Norbert},
  title     = {Nonlinear square patterns in Rayleigh-B{\´e}nard convection},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14986},
  year      = {2000},
  abstract  = {We numerically investigate nonlinear asymmetric square patterns in a horizontal convection layer with up-down reflection symmetry. As a novel feature we find the patterns to appear via the skewed varicose instability of rolls. The time-independent nonlinear state is generated by two unstable checkerboard (symmetric square) patterns and their nonlinear interaction. As the bouyancy forces increase, the interacting modes give rise to bifurcations leading to a periodic alternation between a nonequilateral hexagonal pattern and the square pattern or to different kinds of standing oscillations.},
  language  = {en}
}