Thursday, January 17, 2019 - 16:00 in D5-153
Convergence in High Probability of the Quantum Diffusion in a Random Band Matrix Model
A talk in the AG Mathematische Physik series by
Vlad Margarint from University of Oxford
| Abstract: |
We consider Hermitian random band matrices in $d > 1$ dimensions. The matrix elements are independent, uniformly distributed random variable if the distance between points is less than the band
width, and zero otherwise. In this talk I will present an update of the previous results of the converge
of quantum diffusion in a random band matrix model from convergence of the expectation to convergence in high probability. The proof relies on graphical representations of the various quantities
involved in the analysis. This work was done under the supervision of Prof. Antti Knowles.
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