Eigenvector components of symmetric, graph-related matrices

Although eigenvectors belong to the core of linear algebra, relatively few closed-form expressions exist, which we bundle and discuss here. A particular goal is their interpretation for graph-related matrices, such as the adjacency matrix of an undirected, possibly weighted graph.

Coupled poroelastic waves and electromagnetic fields in layered media: Theory, Modeling, and Interferometric Synthesis

In this thesis, I study coupled poroelastic waves and electromagnetic fields in layered media. The focus is two-fold:<br/>1. Increase the theoretical and physical understanding of the seismo-electromagnetic phenomenon by analytically-based numerical modeling.<br/>2. Investigate the potential of seismo-electromagnetic interferometry.<br/><br/...