Complex sentence: It relies on Feynman-Kac type formulae by simulating paths of Brownian motion (or for some more general variants, diffusion processes), and it is today one of the most widely used "grid-free" algorithms for generating Brownian paths (2).
Split into simpler sentences: It relies on Feynman-Kac type formulae by simulating paths of Brownian motion (or for some more general variants, diffusion processes). It is today one of the most widely used "grid-free" algorithms for generating Brownian paths (2).