@article{18595,
abstract = {Excited-state calculations, notably for quasiparticle band structures, are nowadays routinely performed within the GW approximation for the electronic self-energy. Nevertheless, certain numerical approximations and simplifications are still employed in practice to make the computations feasible. An important aspect for periodic systems is the proper treatment of the singularity of the screened Coulomb interaction in reciprocal space, which results from the slow 1/r decay in real space. This must be done without introducing artificial interactions between the quasiparticles and their periodic images in repeated cells, which occur when integrals of the screened Coulomb interaction are discretised in reciprocal space. An adequate treatment of both aspects is crucial for a numerically stable computation of the self-energy. In this article we build on existing schemes for isotropic screening and present an extension for anisotropic systems. We also show how the contributions to the dielectric function arising from the non-local part of the pseudopotentials can be computed efficiently. These improvements are crucial for obtaining a fast convergence with respect to the number of points used for the Brillouin zone integration and prove to be essential to make GW calculations for strongly anisotropic systems, such as slabs or multilayers, efficient.},
author = {Freysoldt, Christoph and Eggert, Philipp and Rinke, Patrick and Schindlmayr, Arno and Godby, Rex W. and Scheffler, Matthias},
issn = {0010-4655},
journal = {Computer Physics Communications},
number = {1},
pages = {1--13},
publisher = {Elsevier},
title = {{Dielectric anisotropy in the GW space–time method}},
doi = {10.1016/j.cpc.2006.07.018},
volume = {176},
year = {2007},
}
@misc{18641,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 1104.03005]},
title = {{Linnebo, Øystein, “Frege’s Proof of Referentiality”, Notre Dame Journal of Formal Logic 45 (2004), 73–98}},
year = {2007},
}
@misc{18646,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 1119.03044]},
title = {{Ferreirós, José, Labyrinth of Thought. A History of Set Theory and its Role in Modern Mathematics, 2nd rev. ed., Birkhäuser: Basel 2007}},
year = {2007},
}
@inproceedings{18660,
author = {Sohler, Christian and Czumaj, Artur},
booktitle = {Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS)},
pages = {570 -- 578},
title = {{Testing Expansion in Bounded-Degree Graphs}},
year = {2007},
}
@article{18665,
abstract = {We present a novel analysis of a random sampling approach for four clustering problems in metric spaces: k-median, k-means, min-sum k-clustering, and balanced k-median. For all these problems, we consider the following simple sampling scheme: select a small sample set of input points uniformly at random and then run some approximation algorithm on this sample set to compute an approximation of the best possible clustering of this set. Our main technical contribution is a significantly strengthened analysis of the approximation guarantee by this scheme for the clustering problems.The main motivation behind our analyses was to design sublinear-time algorithms for clustering problems. Our second contribution is the development of new approximation algorithms for the aforementioned clustering problems. Using our random sampling approach, we obtain for these problems the first time approximation algorithms that have running time independent of the input size, and depending on k and the diameter of the metric space only. © 2006 Wiley Periodicals, Inc. Random Struct. Alg., 2007A preliminary extended abstract of this work appeared in Proceedings of the 31st Annual International Colloquium on Automata, Languages and Programming (ICALP), pp. 396407, 2004.},
author = {Sohler, Christian and Czumaj, Artur},
journal = {Random Structures & Algorithms},
number = {1-2},
pages = {226 ---- 256},
title = {{Sublinear-time approximation algorithms for clustering via random sampling}},
volume = {30},
year = {2007},
}
@misc{18824,
author = {Peckhaus, Volker},
booktitle = {Mathematical Reviews [MR 2007h:01002; MathSciNet MR2239204]},
title = {{Breger, Herbert, „Ebenen der Abstraktion: Bernoulli, Leibniz und Barrows Theorem“, in: Form, Zahl, Ordnung, Steiner: Stuttgart 2004 (Boethius Texte Abh. Gesch. Math. Naturwiss., 48), 193–202}},
year = {2007},
}
@inproceedings{19334,
abstract = {Angaben zur Herausgeberschaft: Hg. von Michael Vogt unter Mitwirkung von Bernd Füllner und Fritz Wahrenburg},
author = {Eke, Norbert Otto},
booktitle = {Georg Weerth und die Satire im Vormärz. Referate des internationalen Kolloquiums im 150. Todesjahr des Autors, 16.-18.Juni 2006 in der Lippischen Landesbibliothek, Detmold},
editor = {Vogt, Michael and Füllner, Bernd and Wahrenburg, Fritz},
pages = {13--36},
publisher = {Aisthesis},
title = {{Politische Dramaturgien des Komischen. Satire im Vormärz (mit Blick auf das Drama)}},
year = {2007},
}
@inproceedings{19853,
author = {Schomaker, Gunnar},
booktitle = {Advanced Information Networking and Applications (AINA-07)},
isbn = {0769528465},
issn = {1550-445X},
pages = {331--339},
title = {{DHHT-RAID: A Distributed Heterogeneous Scalable Architecture for Dynamic Storage Environments}},
doi = {10.1109/aina.2007.59},
volume = {21},
year = {2007},
}
@inbook{18588,
author = {Schindlmayr, Arno},
booktitle = {Probing the Nanoworld },
editor = {Urban, Knut and Schneider, Claus Michael and Brückel, Thomas and Blügel, Stefan},
isbn = {978-3-89336-462-6},
issn = {1433-5506},
location = {Jülich},
pages = {A1.21--A1.36},
publisher = {Forschungszentrum Jülich},
title = {{Interaction of radiation with matter. Part II: Light and electrons}},
volume = {34},
year = {2007},
}
@inproceedings{20374,
author = {Dorigo, Marco and Hamann, Heiko and Szymanski, Marc and Wörn, Heinz and Shi, Yuhui},
booktitle = {IEEE Swarm Intelligence Symposium, Honolulu, USA, April 1-5},
pages = {310----315},
publisher = {IEEE Press},
title = {{Orientation in a Trail Network by Exploiting its Geometry for Swarm Robotics}},
doi = {10.1109/SIS.2007.367953},
year = {2007},
}