Invariant distribution of an Itô diffusion
= Invariant distribution of an Itô diffusion
{c}
For $D=\sigma\sigma^T/2$, a density $\pi$ is invariant for $dX=b\,dt+\sigma\,dB$ exactly when the stationary Fokker-Planck equation $\nabla\cdot(b\pi-\nabla\cdot(D\pi))=0$ holds with suitable boundary decay.