Spectral Statistics for Sparse Random Graphs

Spectral Statistics for Sparse Random Graphs

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Intro

1 of 25

1 of 25

Intro

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Spectral Statistics for Sparse Random Graphs

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  1. 1 Intro
  2. 2 Overview
  3. 3 Introduction
  4. 4 Spectral Theory
  5. 5 Spectral graph theory and algorithr
  6. 6 Further motivation from quantum phy
  7. 7 Anderson Model
  8. 8 Different Models
  9. 9 Dense Graphs
  10. 10 Sparse graphs
  11. 11 Candidate maximum eigenvectors
  12. 12 Infinity norm
  13. 13 Very sparse matrices
  14. 14 Sparse Graph Structure
  15. 15 Alt-Ducatez-Knowles '23
  16. 16 Concentration
  17. 17 Eigenvalue formula
  18. 18 Tight Tails of Poisson
  19. 19 Block Decomposition
  20. 20 Proof Sketch
  21. 21 Fluctuations
  22. 22 Limitations
  23. 23 Conclusion
  24. 24 Question 1: Truncation method
  25. 25 Question 2

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