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A Note on Cumulant Technique in Random Matrix Theory.

Authors :
Soshnikov, Alexander
Soshnikov, Alexander
Wu, Chutong
Soshnikov, Alexander
Soshnikov, Alexander
Wu, Chutong
Source :
Entropy (Basel, Switzerland); vol 25, iss 5, 725; 1099-4300
Publication Year :
2023

Abstract

We discuss the cumulant approach to spectral properties of large random matrices. In particular, we study in detail the joint cumulants of high traces of large unitary random matrices and prove Gaussian fluctuation for pair-counting statistics with non-smooth test functions.

Details

Database :
OAIster
Journal :
Entropy (Basel, Switzerland); vol 25, iss 5, 725; 1099-4300
Notes :
application/pdf, Entropy (Basel, Switzerland) vol 25, iss 5, 725 1099-4300
Publication Type :
Electronic Resource
Accession number :
edsoai.on1391577162
Document Type :
Electronic Resource