Speaker: Yuriy Mileyko (UH)

Title: Internet and its Dimensions

Abstract

The large-scale structure of the Internet (or, rather of the graph of
the Autonomous System Nodes) has been attracting a lot of attention by
the researchers for decades. One family of attractive models for this
graph stipulates that it “looks like” is if sampled from a hyperbolic
plane. We shall discuss possible tests for the dimension of samples from
manifolds, and apply them to the ANS graph.