Explore statistical network analysis in this comprehensive lecture from the Extended Program on Randomness and Learning on Networks at IMPA. Delve into advanced topics presented by Joshua Cape from the University of Wisconsin, part of a month-long program featuring talks, minicourses, and collaborative sessions. Gain insights into discrete probability, statistics, and related areas, with content aimed at PhD students and researchers. Learn about the program's structure, including weekly schedules, financial aid opportunities, and international collaborations. Discover how this extended program fosters research and knowledge exchange in mathematical disciplines, particularly benefiting young researchers and students from South American institutions.