Matteo Tanzi (University of Victoria): Heterogeneously Coupled Maps: Coherent behaviour and reconstructing network from data

In this joint work with Sebastian van Strien and Tiago Pereira, we study networks of heterogeneously coupled maps. Using transfer operators on invariant cones of densities and a concentration inequality, we show 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.