41. When stock price returns follow a single Brownian motion , there is a unique risk neutral measure. 42. By repeating this step inductively, the WoS provides a sequence of positions of the Brownian motion . 43. Brownian motion on a minimal surface leads to probabilistic proofs of several theorems on minimal surfaces.44. The Poisson boundary of the Brownian motion on the associated symmetric space is also the Furstenberg boundary. 45. For a realistic particle undergoing Brownian motion in a fluid many of the assumptions cannot be made. 46. The WoS theoretically provides exact ( or unbiased ) simulations of the paths of the Brownian motion . 47. It can be visualized as a cylinder of fixed radius the centerline of which is Brownian motion . 48. Brownian motion is another well-known Markov process.49. The corresponding fluctuation is Brownian motion . 50. In two words, Brownian motion .
