Martedì 20 giugno 2023 alle ore 14:00, Aula 211
Dipartimento di Matematica e Fisica di Roma Tre,
Largo San Leonardo Murialdo,1- 00146 Roma.
Speaker: Giorgio Cipolloni (Princeton Center for Theoretical Science)
Title: Quantum Unique Ergodicity and its fluctuations for Wigner matrices.
Abstract: We prove that the eigenvectors of Wigner matrices satisfy the
Eigenstate Thermalization Hypothesis (ETH), which is a strong form of
Quantum Unique Ergodicity (QUE) with optimal speed of convergence. Then,
using this a priori bound as an input, we analyze the Stochastic Eigenstate
Equation (SEE) and prove a Wigner matrix analog of the Berry random wave
conjecture.