FULLY-DEVELOPED TURBULENCE AND BROWNIAN-MOTION

A new general construction of one-dimensional Brownian motion is intro duced. The construction is based on: (a) a general mathematical relati onship that links arbitrary multinomial multifractals with the Gaussia n distribution, and (b) the observed multifractal nature of one-dimens ional fully developed turbulence. It is shown, via simulations, that t he new construction provides realizations which satisfy all desirable statistical properties.