Spectrum of SYK Model

Renjie Feng , Gang Tian , Dongyi Wei

Peking Mathematical Journal ›› 2019, Vol. 2 ›› Issue (1) : 41 -70.

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Peking Mathematical Journal ›› 2019, Vol. 2 ›› Issue (1) : 41 -70. DOI: 10.1007/s42543-018-0007-1
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Spectrum of SYK Model

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Abstract

This is the first part of a series of papers on the spectrum of the SYK model, which is a simple model of the black hole in physics literature. In this paper, we will give a rigorous proof of the almost sure convergence of the global density of the eigenvalues. We also discuss the largest eigenvalue of the SYK model.

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Renjie Feng, Gang Tian, Dongyi Wei. Spectrum of SYK Model. Peking Mathematical Journal, 2019, 2(1): 41-70 DOI:10.1007/s42543-018-0007-1

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