Percolation TheoryCovers percolation theory, absorbed polymers, giant molecules, phase transition, scaling assumptions, and universal behavior in percolation models.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Percolation: Bond PercolationCovers bond percolation on a square lattice, discussing percolation phases, critical threshold, mean cluster size, and critical point scenarios.
Probability and StatisticsCovers fundamental concepts in probability and statistics, emphasizing data analysis techniques and statistical modeling.
Probability and StatisticsIntroduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Probability and StatisticsIntroduces key concepts in probability and statistics, covering random experiments, events, intersections, unions, and more.