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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture introduces the concept of percolation through bond percolation on a square lattice. The instructor explains the percolation probability, critical threshold, and different phases of percolation. Topics covered include the super-critical phase, infinite cluster existence, mean cluster size, and the critical threshold. The lecture also delves into Harris' inequality, mean cluster size calculation, and the main questions surrounding percolation models. Additionally, the lecture explores the critical threshold determination and various scenarios at the critical point.