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Wednesday 29 Nov 2023Distribution of resonances for Anosov maps

Julia Slipantschuk - University of Warwick

Newman Purple 13:30-14:30


I will present a complete description of Pollicott-Ruelle resonances for a class of rational Anosov diffeomorphisms on the 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.


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