Title: Structure and Dynamics of Modular Hierarchical Networks

Speaker: Cristian L Huepe Minoletti, Northwestern University, Adjunct Professor

A generic feature of many natural systems is their organization as a hierarchy of modules that help structure their interactions and processes. Basic building blocks combine into more complex modules that can in turn organize into further modular structures at yet higher levels. Although this type of modular-hierarchical (MH) structures have been observed in a variety of biological networks, we still lack formal tools to characterize them and have a limited understanding of their origins and dynamics.

In this talk, I will present a simple model that generates a family of MH networks and study their unique characteristic features. I will describe their topological properties and analyze the dynamics of various processes on MH networks, including: diffusion, first-passage, synchronization, evolution, and epidemics.

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