Dynamical systems: maps, chaos, entropy, complexity

Thermalization in quantum systems: eigenstate thermalization hypothesis, many-body localization, generalized Gibbs ensemble)

Applications of Boltzmann transport

The Vlasov equation

Applications of Fokker-Planck equation

Anomalous diffusion (Levy flights, fractals, etc.)

Stochastic models in biology (e.g., evolution)

Stochastic differential equations in finance