Percolation TheoryCovers percolation theory, absorbed polymers, giant molecules, phase transition, scaling assumptions, and universal behavior in percolation models.
Centrality and HubsDelves into centrality and hubs in network neuroscience, exploring node importance, small-world networks, brain structural connectome, and percolation theory.
Turbulent State SymmetriesExplores broken and emerging symmetries in turbulent states, discussing energy cascades, lack of scale invariance, and potential conformal invariance.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Renormalization & ScalingExplores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.
Probability and StatisticsCovers fundamental concepts in probability and statistics, emphasizing data analysis techniques and statistical modeling.
Dependence and CorrelationExplores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Centrality and HubsExplores centrality, hubs, eigenvectors, clustering coefficients, small-world networks, network failures, and percolation theory in brain networks.