Lecture notes on Quantum Diffusion and Random Matrix Theory
arXiv:2511.04380
Abstract
In joint work with Adam Black and Reuben Drogin, we develop a new approach to understanding the diffusive limit of the random Schrodinger equation based on ideas taken from random matrix theory. These lecture notes present the main ideas from this work in a self-contained and simplified presentation. The lectures were given at the summer school "PDE and Probability" at Sorbonne Université from June 16-20, 2025.
Lectures based on arXiv:2502.02566 and arXiv:2506.06468