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Delocalization of the Laplace Eigenmodes on Anosov Surfaces

Delocalization of the Laplace Eigenmodes on Anosov Surfaces

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Fractal uncertainty principle

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Fractal uncertainty principle

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Delocalization of the Laplace Eigenmodes on Anosov Surfaces

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  1. 1 Introduction
  2. 2 General questions
  3. 3 High frequency regime
  4. 4 Eigenmode distribution
  5. 5 Proof
  6. 6 Correspondence Principle
  7. 7 Time evolution
  8. 8 Control by one piece
  9. 9 Beyond this time
  10. 10 Fractal uncertainty principle
  11. 11 Constant curvature
  12. 12 Nonconstant curvature

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