Lectures related to Mean squared displacement

Explores the reasons behind lower diffusion in crystalline solids and covers atomic theory, thermal hopping, and random movement.

Covers the theory of Brownian motion, diffusion, and random walks, with a focus on Einstein's theory for one-dimensional motion.

Explores the historical context and mathematical aspects of Brownian motion, including Einstein's model and experimental verification.

Covers diffusive transport in tokamak plasmas, including classical and neo-classical diffusion, ambipolar diffusion, and turbulent transport.

Explores spatial ergodicity for SPDEs, covering basic formulations, initial data effects, and results on ergodicity and CLT.