Explore the fascinating world of probabilistic networks and their applications in modeling complex systems in this 59-minute lecture presented by the Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC). Delve into the fundamental concepts and techniques used to analyze and understand intricate systems across various fields, including physics, biology, and social sciences. Learn how probabilistic networks provide powerful tools for capturing the inherent uncertainties and interdependencies within complex systems, enabling researchers to make predictions and gain insights into emergent behaviors. Discover the mathematical foundations, computational methods, and practical applications of these networks, and gain a deeper appreciation for their role in advancing our understanding of complex phenomena in nature and society.