Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...
First the theory of electron-phonon contributions to the de Haas-van Alphen effect in normal systems (pure metals in the nonsuperconducting state ) is reviewed.Then a new derivation of the de Haas-van Alphen oscillations for an interacting system is given.The result is applied to electron-phonon scattering to show that contrary to...
We present a method by which torsion-free groups of automorphisms of a 2-dimensional hyperbolic building which act simply transitively on the vertex set can be constructed, and prove that any such group can be obtained by this construction. The method produces groups defined by finite presentations with strong small cancellation...
This dataset contains the following:
1) A full list of the scaffolded presentations of the torsion-free vertex-regular lattices of Bourdon's building I55, classified up to isomorphism.
2) The source code for the programs used to construct these presentations in the software GAP 4.
3) The source code for the programs...
Let H be a cyclically-presented group on n generators with a single defining relator. Attempts have been made to classify such groups by their order, their status as a 3-manifold group, and the asphericity status of their presentations. For groups with a defining relator of length 3 these classifications are...
