Fractal Uncertainty Principle and Quantum Chaos

Fractal Uncertainty Principle and Quantum Chaos

International Mathematical Union via YouTube Direct link

Intro

1 of 13

1 of 13

Intro

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Fractal Uncertainty Principle and Quantum Chaos

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  1. 1 Intro
  2. 2 Overview
  3. 3 Control of eigenfunctions
  4. 4 An illustration
  5. 5 Applications to PDE
  6. 6 Semiclassical measures II
  7. 7 Main tool fractal uncertainty principle (FUP)
  8. 8 Main tool: fractal uncertainty principle (FUP)
  9. 9 A bit about proof of Theorem 1
  10. 10 Illustration: Arnold cat map
  11. 11 Open quantum chaos and resonances
  12. 12 Spectral gap
  13. 13 Higher dimensional FUP?

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