Explore the intricacies of path convergence in Markov chains on large graphs in this comprehensive lecture by Siva Athreya from the International Centre for Theoretical Sciences. Delve into the world of network science, probability theory, and graph theory as part of the NETWORKS program, a 10-year initiative funded by the Dutch Ministry of Education, Culture and Science. Gain insights into structural properties of random graphs, dynamics on networks, interacting particle systems, and algorithmic aspects of networks. Discover how these concepts apply to real-life scenarios in finance, large data set analysis, rare event modeling, and social networks. Engage with cutting-edge research presented by leading experts in the field, fostering collaboration between Dutch and Indian scientists in probability and statistics.