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Martingales and Brownian Motion: Part 1
Explores transformations of Brownian motion, Markov properties, and scaling invariance.
Replica and Symmetry Breaking
Explores the Nobel Prize-winning discovery of replica and cavity methods in complex systems, focusing on the random energy model and the application of probability theory.
Graphical Models: Probability Distributions and Factor Graphs
Covers graphical models for probability distributions and factor graphs representation.
Mean Field Theory: Stochastic Analysis and Applications
Explores classical mean field theory, local interactions, and examples like individual-based SIR models and raindrop formation.
Stochastic Analysis & Epidemic Containment Models
Delves into stochastic analysis, contract theory, and epidemic models, exploring uncertainties and interventions in epidemiology.
Local Fields and Correlations in Ising Models
Covers local fields and correlations in Ising models and conformal field theory.