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Mixing Time on Flat Tori
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Classroom Contents
Oded Regev: The Reverse Minkowski Theorem
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- 1 Intro
- 2 Lattices
- 3 History
- 4 Determinant of a Lattice Determinant = volume per lattice point
- 5 Sphere Packing
- 6 Minkowski's Theorem
- 7 Converse?
- 8 Applications of Reverse Minkowski [DadushR16]
- 9 Mixing Time on Flat Tori
- 10 More Applications
- 11 Reverse Minkowski: Proof
- 12 Case 1: maximum on boundary
- 13 Case 2: maximum in interior
- 14 Bounding Local Maxima
- 15 Summary
- 16 Main open question: Is Zn the "densest lattice"?
