Distribution of resonances for Anosov maps on the torus, Julia SLIPANTSCHUK

Université de Warwick

Date(s) : 02/02/2024   iCal
11 h 00 min - 12 h 15 min

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.

FRUMAM, St Charles (2ème étage)


Retour en haut 

Secured By miniOrange