Title: Reducing high dimensional systems to low dimensions

Abstract: In this joint work with Matteo Tanzi and Tiago Pereira, we study high dimensional networks of heterogeneously coupled maps. Using transfer operators on invariant cones of densities and a concentration inequality, we show rigorously that different types of dynamics emerge across distinct connectivity layers. Moreover, it turns out that data arising from such systems can be used to reconstruct detailed information on the dynamics and the network.