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| Winter Term 2019/20 Doctoral School Events | |
| 2019-11-8 | Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, 14:00—16:30, KFU) |
| Douglas R. Q. Pacheco (TU, advisor O. Steinbach): Stable space-time finite elements for incompressible flows [show abstract] | |
| Julian Zalla (TU, advisor M. Kang): j-tight paths in random hypergraphs [show abstract] | |
| Peter Schlosser (TU, advisor J. Behrndt): Time evolution of superoscillations [show abstract] | |
| 2020-01-10 | Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 9:30—12:00, TU) |
| Christian Lindorfer (TU, advisor W. Woess): A general bridge theorem for self-avoiding walks | |
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Abstract: A graph height function on a graph is a map adapted to the graph structure, assigning to every vertex an integer, called height. Bridges are self-avoiding walks such that heights of interior vertices are bounded by the heights of the start- and end-vertex. The number of self-avoiding walks and the number of bridges of length n starting at a fixed vertex grow exponentially in n and the bases of these growth rates are called connective constant and bridge constant, respectively. We show that for any graph height function the connective constant of the graph is equal to the maximum of the two bridge constants given by increasing and decreasing bridges.[hide abstract] | |
| Martin Schwinzerl (KFU, advisor G. Haase): "Towards Controlling the Numerical Error in Highly Parallel Particle Tracking Simulations [show abstract] | |
| Raphael Watschinger (TU, advisor G. Of): An introduction to fast space-time boundary element methods for the heat equation [show abstract] |