Random Walk, Laplace Equation, Poisson Equation, Brownian Motion, Maxwell Boltzmann.
discrete form of (5) as satisfies a discrete form of the 2-dimensional Laplace equation (4) exactly because Fig.2 A set of random walks starting from (0.9, 0.7) and exiting to (0.7, -0.1) We can generate a series of random walks starting from .e.g. (0.9, 0.7) while the walk remains inside the