Estimating the spectral measures of
smooth flows on the torus
Introduction and the result.
- Title of the talk
- ODE's on the torus
- History of the problem
- The main result
Three pillars: ergodic theory, Fourier theory, measure theory
- Periodic Approximations
- Strichartz theorem
- Decomposition of measures
A general result and the idea of the proof
- A result on the dimension
- The core of the proof
- Generic continuity
- A generalistion of a thm of Katok
An application for Hamiltonian systems and open questions
- Weakly mixing tori of Hamilt.
- Open questions
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