CIG project page

Spectral Geometry on Graphs and Beyond

CIG grant 618468

This project concerns the extraction of geometric information about graphs from the spectra of the graph’s Schrödinger operator, and from the distribution of zeros of the corresponding eigenfunctions. The spectral geometric point of view shows intrigue links between quantum and combinatorial graphs, which go over towards higher dimensional domains. In this sense our research offers a cross disciplinary perspective – the investigation of spectral geometry covers both quantum and combinatorial graphs. We make connections between quantum graphs which are one dimensional objects and domains which are of higher dimension and further apply graph related methods for real-life composite materials.

This project is funded by Marie Curie Actions (Grant No. PCIG13-GA-2013-618468).

Relevant publications