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Watch a lecture by Professor Shankar Bhamidi from the University of North Carolina exploring the critical role of mathematics in understanding dynamic networks and stochastic approximation. Delve into three distinct narratives that demonstrate how mathematical principles illuminate network evolution phenomena, including detecting system dynamics change points, analyzing centrality measures across different vertex types, and examining delayed decision-making effects in network growth. Learn about applications in social networks, proteomics, and epidemic spread modeling, while gaining insights into unexpected findings that bridge theoretical mathematics with practical network analysis. Discover how probability theory and mathematical principles can unify and solve diverse problems in network modeling, guided by an expert who combines theoretical depth with practical applications from various scientific domains.