Lecture notes on Quantum Diffusion and Random Matrix Theory

Fuente: arXiv
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Autore principale: Hernández, Felipe
Natura: Preprint
Pubblicazione: 2025
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author Hernández, Felipe
author_facet Hernández, Felipe
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04380
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lecture notes on Quantum Diffusion and Random Matrix Theory
Hernández, Felipe
Analysis of PDEs
Mathematical Physics
Probability
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.
title Lecture notes on Quantum Diffusion and Random Matrix Theory
topic Analysis of PDEs
Mathematical Physics
Probability
url https://arxiv.org/abs/2511.04380