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