xvii German Abstract — Zusammenfassung xix

Embedding high-dimensional data into a 2D canvas is a popular strategy for their visualization. It allows users to appreciate similarity relationships among the data points by their spatial organization on the 2D display. In this work we consider the case where the collection of data points also serves as a scalar field for one of the dataset’s attributes, essentially forming samples of the att...

With the increasing size of typical 2D and 3D data, e cient computational methods are becoming increasingly crucial for achieving desired levels of interactivity. Computation of isocontours from scalar data is a particularly critical task for comprehensive visualization of volume data. In the case that the volume is discretized by a mesh of volumetric cells, the extraction of an isocontour cons...

We discuss the dynamics of a quintessence model involving two coupled scalar fields. The model presents two types of solutions, namely solutions that correspond to eternal and transient acceleration of the universe. In both cases, we obtain values for the cosmological parameters that satisfy current observational bounds as well as the nucleosynthesis constraint on the quintessence energy density.

X iv :1 70 5. 07 24 2v 3 [ co nd -m at .s of t] 2 2 Ju n 20 17 Random Scalar Fields and Hyperuniformity Zheng Ma and Salvatore Torquato 3, 4, a) Department of Physics, Princeton University, Princeton, New Jersey 08544, USA Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA Princeton Institute for the Science and Technology of Materials, Princeton University Princeto...