Markets are, in the short run, a random walk, right up there with Brownian motion of molecules in a coffee cup. |
Much later Donsker gave a full proof of the convergence of random walks to Brownian motion. |
To do this we will use Brownian motion to model the evolution of Player A's chance of winning. |
We shall look at the asymptotics of the barycentres of independent copies of Brownian motions on the hyperbolic spaces. |
It had become an experimental fact that both solutes and Brownian emulsions obey the gas laws. |
In the lower left portion of the canvas, a gaggle of geese moves about in Brownian motion. |