Thursday, June 20, 2024
11:00 - 12:00
Networks are a useful mathematical abstraction for any system where the relations between any two elements (or agents) are as significant to our understanding as the elements themselves. A remarkable feature emerges in a wide class of networks: that on average, one can hop from any two elements with a remarkably small number of hops -- the so-called small world property. In this talk I will review this idea illustrated with some familiar examples and present a novel mean field method to study this, and other properties of complex networks where heterogeneity of interactions and disorder and may be present. Each italicized term in this abstract will be explained in simple terms that require little to no prior or formal knowledge to accompany more formal aspects of the discussion. I will conclude with some potential applications of the work presented towards social, epidemiological, and biological systems.
Dutch Institute for Emergent Phenomena (DIEP)
IAS second floor library room
2nd floor library
Group Seminar
biophysics, complexity, computational physics, emergence
Subodh P. Patil