Abstract: In this talk, I present random tower maps driven by an ergodic automorphism and prove quenched exponential correlations decay for tower maps admitting exponential tails. The technique is based on constructing suitable cones of functions, defined on the random towers, which contract with respect to the Hilbert metric under the action of appropriate transfer operators. This is joint work with J.Alves, W.Bahsoun and P.Varandas.
This will be hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi Seminar (ICTP Leonardo Da Vinci Building), for those wishing to attend in person.