Microlocal Methods in Dynamical Systems
Author(s)
Zworski, Maciej
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Abstract
Microlocal analysis exploits mathematical manifestations
of the classical/quantum (particle/wave) correspondence and has
been a successful tool in spectral theory and partial differential
equations. We can say that these last two fields lie on the
quantum/wave side. Recently, microlocal methods have been applied to the study of
classical dynamical problems, in particular of chaotic (Anosov)
flows. I will illustrate this by proving that the order of vanishing of the
dynamical zeta function at zero for negatively curved surfaces is
given by the absolute value of the Euler characteristic (joint work
with S Dyatlov).
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Date
2016-10-10
Extent
53:43 minutes
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Moving Image
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