Percolation Theory

Explore the fundamental concepts and applications of percolation theory in this 19-minute lecture. Delve into the mathematical framework that describes the behavior of connected clusters in random systems, covering key topics such as critical thresholds, phase transitions, and scaling laws. Gain insights into how percolation theory is applied across various fields, including physics, materials science, and network analysis. Learn about the historical development of this theory and its relevance in solving real-world problems, from understanding fluid flow through porous media to modeling the spread of diseases in populations.