Lecture
Percolation: Bond Percolation
Description
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.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (35)
Percolation Theory
Covers percolation theory, absorbed polymers, giant molecules, phase transition, scaling assumptions, and universal behavior in percolation models.
Phase Transitions: Percolation in 2D Networks
Explores phase transitions through percolation in 2D networks.
Epidemics and Bootstrap Percolation in Square Lattice
Explores epidemics spread models and Bootstrap Percolation in square lattice networks, focusing on the Kolmogorov equation and probability generating functions.
Interval Estimation: Method of Moments
Covers the method of moments for estimating parameters and constructing confidence intervals based on empirical moments matching distribution moments.
Probability Theory: Midterm Solutions
Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.