Supervisor: Dr Anna Maltsev
Project description:
Quantum graphs are very important as they model various physical systems such as road and electrical networks, networks of neurons, and water and gas pipes. In our recent studies we have found the precise links between spectral properties of a weighted random matrix and a quantum graph. There are a lot of powerful methods that are developed for random matrices that can now be transferred to random graphs to solve famous open problems such as special cases of the Bohigas-Giannoni-Schmit conjecture, which links chaotic dynamics and spectral statistics.
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