Langevin equation: ballistic and diffusive regime; Einstein relation as a first basic example of fluctuation-dissipation relation. Langevin equation in the presence of a conservative force (section 1.4.1)

Fokker-Planck approach: transition rates and master equation for the probability density (gain term and loss term) (section 1.4.2)
[be careful: I changed the notation with respect to the one used in the book: I used R(x,x') in place of W(x,x') to be consistent with the notation used in section 1.6]

Reference book: "Non equilibrium statistical physics: a modern perspective" by Livi and Politi