Trace formulae for Anosov flows

The HADES seminar on Tuesday, October 8th will be given by  Malo Jézéquel in Evans 740 from 3:40 to 5 pm.

Speaker: Malo Jézéquel, LPSM & MSRI

Abstract: Fine statistical properties of a smooth Anosov flow may be studied through Ruelle resonances. These resonances may be described as the zeroes of a dynamical determinant, i.e. an entire function defined in terms of the periodic data of the flow. We are interested in another relationship between Ruelle resonances and periodic data of the flow: a trace formula conjectured by Dyatlov and Zworski. This formula is known to be true for real-analytic Anosov flows by a result of Fried, we will see how this hypothesis can be weakened.

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