Orthogonal Polynomials And Random Matrices: A Riemannhilbert Approach (Courant Lecture Notes),New Editors of Healthy Hoof And Horse

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Orthogonal Polynomials And Random Matrices: A Riemannhilbert Approach (Courant Lecture Notes),New Editors of Healthy Hoof And HorseThis Volume Expands On A Set Of Lectures Held At The Courant Institute On Riemannhilbert Problems, Orthogonal Polynomials, And Random Matrix Theory. The Goal Of The Course Was To Prove Universality For A Variety Of Statistical Quantities Arising In The Theory Of Random Matrix Models. The Central Question Was The Following: Why Do Very General Ensembles Of Random $N {Times} N$ Matrices Exhibit Universal Behavior As $N {Rightarrow} {Infty}$? The Main