Marks Ruziboev (University of Vienna)

Title: Quenched decay of correlations for random maps with an ergodic driving system

Abstract: In this work, we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our 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.