Particle systems with a large number of particles and their approximation by means of mesoscopic, kinetic and macroscopic models are considered. In particular, the following topics are covered:
- systems of independent particles: Newton, Liouville, hyperbolic and diffusive limits,
- systems of independent particles: Langevin, fiber equations, Fokker-Planck equations, hyperbolic and diffusive approximation,
- systems of interacting particles: coupled Newton systems, Liouville equation, Mean-Field equations, Boltzmann equation, linear transport equations, macroscopic limits,
- interacting particles: stochastic particle systems.