Detecting structure in complex networks

Scott Pauls

Mathematics, Dartmouth College


Most of my recent work has focused on robustly extracting relevant structure from network models of complex systems. In this talk, I'll give an overview of the types of problems I am interested in and the broad questions I try to answer. To place this on more concrete footing, I'll give an example of recent work - k-spectral centralities. k-Spectral centralities are measures of importance for subsets of networks. We will discuss how to derive these measures from spectral information given assumptions on information propagation in the network. We will also give concrete examples from economics, political science, neuroscience and microbiology.

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