Distribution of resonances for Anosov maps on the torus
Date(s) : 02/02/2024 iCal
11h00 - 12h15
Distribution of resonances for Anosov maps on the torus
Eigenvalues of transfer operators, known as Pollicott-Ruelle resonances provide insight into the long-term behaviour of the underlying dynamical system, in particular determining its exponential mixing rates. In this talk, I will present a complete description of Pollicott-Ruelle resonances for a class of rational Anosov diffeomorphisms on the two-torus. This allows us to show that every homotopy class of two-dimensional Anosov diffeomorphisms contains (non-linear) maps with the sequence of resonances decaying stretched exponentially, exponentially or having only trivial resonances.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
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