Edge Universality for Non-Hermitian Random Matrices

Edge Universality for Non-Hermitian Random Matrices

ICTP Mathematics via YouTube Direct link

Techniques for Proving Spectral Universality incomplete overview

6 of 12

6 of 12

Techniques for Proving Spectral Universality incomplete overview

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Edge Universality for Non-Hermitian Random Matrices

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  1. 1 Intro
  2. 2 Eigenvalues of random matrices with independent entries
  3. 3 The circular law
  4. 4 Universality Conjecture
  5. 5 Universality III: Theorem at the Edge
  6. 6 Techniques for Proving Spectral Universality incomplete overview
  7. 7 Cusp Universality for Hermitian Wigner-type matrices
  8. 8 Girko's Hermitization
  9. 9 Local Law for
  10. 10 Sketch of the proof of the non-Hermitian Edge universality
  11. 11 Classical Smoothing Inequalities
  12. 12 Smoothing in the Transitional Regime

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