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Mariya Shcherbina (Institute for Low Temperature Physics, Kharkiv and IAS)

Title: Methods of random matrix theory for different regimes of eigenvalue distribution

Abstract: We consider a number of classical models of random matrices,

such as Wigner model, Marchenko-Pastur model, band matrix model, Ginibre model, etc, and discuss the main 

problems of their eigenvalue statistics in two regimes: global and local. We discuss the  main methods which 

are using in the field. Special  attention will be paid to the method of super symmetric integration.