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Quantum graphs with quasiperiodic and random interactions

Final Report Summary - KPRDG (Quantum graphs with quasiperiodic and random interactions)

The short period of training of K. Pankrashkin lead to two research publication, one in collaboration witht his superviser and one alone. It also enabled the start of some research published after the project's premature termination. In the first research paper, the authors show Anderson localisation for quantum graphs with random edge lengths. In the second publication, the trainee studies the spectral properties of quantum graphs that are akin to the surface Maryland model. We give more details in the attached document.
rapport-scientifique-final-pief-ga-2008-219641.pdf