@inbook{17994,
abstract = {In this work we review the novel framework for the computation of finite dimensional invariant sets of infinite dimensional dynamical systems developed in [6] and [36]. By utilizing results on embedding techniques for infinite dimensional systems we extend a classical subdivision scheme [8] as well as a continuation algorithm [7] for the computation of attractors and invariant manifolds of finite dimensional systems to the infinite dimensional case. We show how to implement this approach for the analysis of delay differential equations and partial differential equations and illustrate the feasibility of our implementation by computing the attractor of the Mackey-Glass equation and the unstable manifold of the one-dimensional Kuramoto-Sivashinsky equation.},
author = {Gerlach, Raphael and Ziessler, Adrian},
booktitle = {Advances in Dynamics, Optimization and Computation},
editor = {Junge, Oliver and Schütze, Oliver and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin},
isbn = {9783030512637},
issn = {2198-4182},
pages = {55--85},
publisher = {Springer},
title = {{The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems}},
doi = {10.1007/978-3-030-51264-4_3},
volume = {304},
year = {2020},
}
@article{17051,
author = {Liêu, Minh-Lý and Pelster, Matthias},
issn = {2352-3409},
journal = {Data in Brief},
title = {{The disposition effect in a scopic regime: Data from a laboratory experiment}},
doi = {10.1016/j.dib.2020.105680},
year = {2020},
}
@article{17854,
author = {Goldbach, Carina and Hoffmann, Christin and Hoppe, Julia Amelie and Pitz, Thomas and Thommes, Kirsten},
journal = {PloS ONE},
number = {7},
title = {{The fast and the furious—An experimental investigation of the pace of life and risky speed choice in traffic}},
volume = {15 },
year = {2020},
}
@article{15306,
author = {Pelster, Matthias},
issn = {0165-1765},
journal = {Economics Letters},
title = {{The gambler’s and hot-hand fallacies: Empirical evidence from trading data}},
doi = {10.1016/j.econlet.2019.108887},
volume = {187},
year = {2020},
}
@inbook{17352,
author = {Moritzer, Elmar and Hüttner, Matthias and Henning, Bernd and Webersen, Manuel},
booktitle = {Advances in Polymer Processing 2020},
editor = {Hopmann, Christian and Dahlmann, Rainer},
isbn = {9783662608081},
location = {Aachen},
publisher = {Springer},
title = {{The Influence of Hydrothermal Aging on the Material Properties of Continuous Fiber-Reinforced Thermoplastics and its Non-Destructive Characterization}},
doi = {10.1007/978-3-662-60809-8_16},
year = {2020},
}
@inproceedings{17370,
abstract = { We consider a natural extension to the metric uncapacitated Facility Location Problem (FLP) in which requests ask for different commodities out of a finite set \( S \) of commodities.
Ravi and Sinha (SODA 2004) introduced the model as the \emph{Multi-Commodity Facility Location Problem} (MFLP) and considered it an offline optimization problem.
The model itself is similar to the FLP: i.e., requests are located at points of a finite metric space and the task of an algorithm is to construct facilities and assign requests to facilities while minimizing the construction cost and the sum over all assignment distances.
In addition, requests and facilities are heterogeneous; they request or offer multiple commodities out of $S$.
A request has to be connected to a set of facilities jointly offering the commodities demanded by it.
In comparison to the FLP, an algorithm has to decide not only if and where to place facilities, but also which commodities to offer at each.
To the best of our knowledge we are the first to study the problem in its online variant in which requests, their positions and their commodities are not known beforehand but revealed over time.
We present results regarding the competitive ratio.
On the one hand, we show that heterogeneity influences the competitive ratio by developing a lower bound on the competitive ratio for any randomized online algorithm of \( \Omega ( \sqrt{|S|} + \frac{\log n}{\log \log n} ) \) that already holds for simple line metrics.
Here, \( n \) is the number of requests.
On the other side, we establish a deterministic \( \mathcal{O}(\sqrt{|S|} \cdot \log n) \)-competitive algorithm and a randomized \( \mathcal{O}(\sqrt{|S|} \cdot \frac{\log n}{\log \log n} ) \)-competitive algorithm.
Further, we show that when considering a more special class of cost functions for the construction cost of a facility, the competitive ratio decreases given by our deterministic algorithm depending on the function.},
author = {Castenow, Jannik and Feldkord, Björn and Knollmann, Till and Malatyali, Manuel and Meyer auf der Heide, Friedhelm},
booktitle = {Proceedings of the 32nd ACM Symposium on Parallelism in Algorithms and Architectures},
isbn = {9781450369350},
keyword = {Online Multi-Commodity Facility Location, Competitive Ratio, Online Optimization, Facility Location Problem},
title = {{The Online Multi-Commodity Facility Location Problem}},
doi = {10.1145/3350755.3400281},
year = {2020},
}
@article{16957,
author = {Fodor, Melinda A. and Ható, Zoltán and Kristóf, Tamás and Pósfai, Mihály},
issn = {0009-2541},
journal = {Chemical Geology},
keyword = {pc2-ressources},
title = {{The role of clay surfaces in the heterogeneous nucleation of calcite: Molecular dynamics simulations of cluster formation and attachment}},
doi = {10.1016/j.chemgeo.2020.119497},
year = {2020},
}
@article{16873,
author = {Peitz, Christian and Feng, Yuanhua and Gilroy, Bernard Michael and Stöckmann, Nico},
journal = {Asian Economic and Financial Review},
number = {4},
pages = {427--438},
publisher = {Asian Economic and Social Society},
title = {{The Shanghai-Hong Kong Stock Connect: An Application of the Semi-CGARCH and Semi-EGARCH}},
volume = {10},
year = {2020},
}
@inbook{17732,
author = {Hagengruber, Ruth Edith},
booktitle = {Women in the History of Philosophy and Sciences},
isbn = {9783030444204},
issn = {2523-8760},
title = {{The Stolen History—Retrieving the History of Women Philosophers and its Methodical Implications}},
doi = {10.1007/978-3-030-44421-1_4},
year = {2020},
}
@article{17869,
author = {Poniatowski, Martin and Lüttenberg, Hedda and Beverungen, Daniel and Kundisch, Dennis},
journal = {Information Systems and e-Business Management, Special Issue on Platform Business Models and Platform Strategies},
title = {{Three Layers of Abstraction—A Conceptual Framework for Theorizing digital Multi-Sided Platforms}},
year = {2020},
}