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Quantum Unique Ergodicity and Random Waves on Graphs

Objective

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 world. The expertise of the experienced researcher on analysis on graphs will be ideally complemented by the quantum chaos and ergodic theory specialists of the University of Bristol, to ensure the success of this project.

Coordinator

UNIVERSITY OF BRISTOL
Net EU contribution
€ 183 454,80
Address
BEACON HOUSE QUEENS ROAD
BS8 1QU Bristol
United Kingdom

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Region
South West (England) Gloucestershire, Wiltshire and Bristol/Bath area Bristol, City of
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 183 454,80