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