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Spectrum of SYK model II: Central limit theorem
Random Matrices: Theory and Applications ( IF 0.9 ) Pub Date : 2020-11-27 , DOI: 10.1142/s2010326321500374 Renjie Feng 1 , Gang. Tian 2 , Dongyi. Wei 2
Random Matrices: Theory and Applications ( IF 0.9 ) Pub Date : 2020-11-27 , DOI: 10.1142/s2010326321500374 Renjie Feng 1 , Gang. Tian 2 , Dongyi. Wei 2
Affiliation
In our previous paper [R. Feng, G. Tian and D. Wei, Spectrum of SYK model, Peking Math. J. 2 (2019) 41–70], we derived the almost sure convergence of the global density of eigenvalues of random matrices of the SYK model. In this paper, we will prove the central limit theorem for the linear statistics of eigenvalues of the SYK model and compute its variance.
更新日期:2020-11-27