CORDIS Project
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This project investigates fundamental problems in Quantum Chaos and spectral theory using discrete graphs. It aims to enhance understanding of mathematical physics and its applications in network analysis, combining expertise in quantum theory and graph analysis.
The proposal aims to address two important conjectures of Quantum Chaos, Quantum Unique Ergodicity and the Random Wave hypothesis, via the analysis of eigenfunctions of the Laplacian on discrete graphs.
It will provide a better understanding of two difficult problems of mathematical physics through an original approach, while developing spectral theory on graphs.
The latter has a strong potential of applications in the study of networks, whose understanding is of great importance in the modern…
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