# Random matrix theory ## Refs - original: - [[1955#Wigner]] - reviews: - [[2015#D'Alessio, Kafri, Polkovnikov, Rigol (Review)]] - AZ classification: - [[1996#Altland, Zirnbauer]] and refs therein - CFT context: - [[2020#Cotler, Jensen (Jul)]] - [[2020#Belin, de Boer, Nayak, Sonner]] - [[2021#Belin, de Boer, Nayak, Sonner]] - [[2023#Haehl, Marteau, Reeves, Rozali]] - [[2023#Di Ubaldo, Perlmutter (Jul)]] ## Relation between RMT and quantum chaos Despite lots of numerical studies, it is hard to prove analytically that spectral correlations in a general quantum chaotic system is described by RMT over small energy scales. - [[2024#Riddell, von Keyserlingk, Prosen, Bertini]]: studies whether RMT describes spectral correlations in general quantum system (beyond dual unitary circuits) by studying the [[0062 Spectral form factor|spectral form factor]] ## Applications - constraints of Weil-Petersson volumes from random matrix theory: [[2022#Weber, Haneder, Richter, Urbina]] ## Related - [[0586 Bohigas-Giannoni-Schmit conjecture]]