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Several applications of the moment method in random matrix theory

2014/06/13 by Sasha Sodin, Sodin, Sasha
Mathematics · Physics and Astronomy · #44A60 #60B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum chaos and dynamical systems #Random Matrices and Applications #Theoretical and Computational Physics #math-ph #math.CA #math.MP #math.PR #msc:44A60 #msc:60B20

paper · pdf · doi:10.48550/arxiv.1406.3410

25 pages., 3 figures

arxiv created 2014/06/13 · openalex publication_date 2014/06/13 · arxiv updated 2014/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Several applications of the moment method in random matrix theory, especially, to local eigenvalue statistics at the spectral edges, are surveyed, with emphasis on a modification of the method involving orthogonal polynomials.

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