Applications of Homogeneous Dynamics - Lecture 1

Applications of Homogeneous Dynamics - Lecture 1

ICTP Mathematics via YouTube Direct link

Introduction

1 of 32

1 of 32

Introduction

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Applications of Homogeneous Dynamics - Lecture 1

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  1. 1 Introduction
  2. 2 Outline
  3. 3 What is homogeneous dynamics
  4. 4 Dynamics on a homogeneous space
  5. 5 Examples
  6. 6 Harmonic analysis
  7. 7 Invariants
  8. 8 Measure rigidity
  9. 9 Modular group
  10. 10 Euclidean lattice
  11. 11 Oppenheim conjecture
  12. 12 Homogeneous flows
  13. 13 Quantitative versions
  14. 14 Radness theorem
  15. 15 Quantum chaos
  16. 16 Eigenvalues
  17. 17 Hyperbolic billiard
  18. 18 Hecht operators
  19. 19 Generic eigenvalues
  20. 20 Gap distribution
  21. 21 Perry correlation
  22. 22 Randomness Sequence Modulo 1
  23. 23 Exponential Limit Distribution
  24. 24 Number theoretic sequences
  25. 25 Alkis McMullan
  26. 26 The gap distribution
  27. 27 Distribution theorem
  28. 28 Outline of lectures
  29. 29 Applications to the Lawrence gas
  30. 30 Applications to quasicrystals
  31. 31 Applications to additive problems
  32. 32 Conclusion

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