Eigenvalues of Random Matrices (Spring 2023)

Eigenvalues of Random Matrices (Spring 2023)

Course Modules

Course information

Course information
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    Course_information.pdf Course_information.pdf
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Lecture slides

Lecture slides
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Lecture slides 2372044  
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    Lecture 1, Part 1 Introduction.pdf Lecture 1, Part 1 Introduction.pdf
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    Lecture 1, Part 2 classical densities.pdf Lecture 1, Part 2 classical densities.pdf
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    Lecture 2 Law of Large Numbers through tridiagonal matrices.pdf Lecture 2 Law of Large Numbers through tridiagonal matrices.pdf
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    Lecture 3 Point processes.pdf Lecture 3 Point processes.pdf
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    Lecture 4 steepest descent.pdf Lecture 4 steepest descent.pdf
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    Lecture 5 Fredholm determinants, Pfaffians, SAO.pdf Lecture 5 Fredholm determinants, Pfaffians, SAO.pdf
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    Lecture 6 corners and Bessel functions.pdf Lecture 6 corners and Bessel functions.pdf
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    Lecture 7 asymptotics of corners.pdf Lecture 7 asymptotics of corners.pdf
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    Lecture 8 Addition of matrices and free convolution.pdf Lecture 8 Addition of matrices and free convolution.pdf
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    Lecture 9 signal plus noise.pdf Lecture 9 signal plus noise.pdf
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    Lecture 10 Dyson Brownian Motion.pdf Lecture 10 Dyson Brownian Motion.pdf
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    Lecture 11 Universality.pdf Lecture 11 Universality.pdf
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    Lecture 12 CLT and GFF.pdf Lecture 12 CLT and GFF.pdf
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    Lecture 13 2d statistical mechanics as a discretization of matrices.pdf Lecture 13 2d statistical mechanics as a discretization of matrices.pdf
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    Lecture 14 Random growth models.pdf Lecture 14 Random growth models.pdf
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