Description:
Researcher Author affiliation: Univ. Grenoble Unreviewed Non UBC In hyperbolic dynamics (Anosov dynamics) each trajectory is strongly unstable and its behavior is unpredictable.
A smooth probability distribution evolves also in a complicated way since it acquires higher and higher oscillations. Nevertheless using micro-local analysis,
this evolution is predictable in the sense of distributions. It is similar to a quantum scattering problem in cotangent space as treated by Helffer and Sjöstrand using escape functions in (86').
In this talk we will use wave-packet transform (or FBI transform) and explain how to derive some spectral properties of the dynamics, as the existence of the intrinsic discrete spectrum of Ruelle resonances,
a fractal Weyl law, estimates on the wave front set of the resonances, and band structure in the case of geodesic flow.
Collaboration with Masato Tsujii.
Dépôt source:
UBC cIRcle BIRS Workshop Lecture Videos
Éditeur(s):
Banff International Research Station for Mathematical Innovation and Discovery
License:
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
URL:
http://hdl.handle.net/2429/76671
Date de publication:
2020-12-06
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