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Distribution of resonances for Anosov maps

Distribution of resonances for Anosov maps

Distribution of resonances for Anosov maps


Event details

Abstract

Distribution of resonances for Anosov mapsAbstract
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.

Distribution of resonances for Anosov mapsAbstract
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.

Location:

Newman Purple LT