Fractional Brownian motion stationary and self-similar increments. It has stationary increments: For "H" > ½ the process exhibits long-range dependence, Sample-paths are almost nowhere differentiable. However, almost-all trajectories are locally Hölder continuous of any order strictly less than "H": for each such trajectory, for every "T" > 0 and for every "ε" > 0 there exists a (random) constant "c" such that for 0 < "s","t" < "T". With probability 1, the graph of "B"("t") has both Hausdorff dimension and box dimension of 2−"H". As for regular Brownian motion, one can define stochastic integrals with respect to fractional Brownian motion, usually called "fractional
Brownian Motion Ultimate than a distinct set of natural athletes. However, the team quickly became successful as it competed in Eastern Nations at Amherst in 1980 and 1981. The years from 1982-1985 were building years for Brownian Motion. While they won few games, 1983 saw Brown's first attempt at running a zone-defense. The same year also saw Brown host sectionals and make its first bid at Regionals. The following year turned out to be a critical year in the development of Brown's program. In the summer of 1984, several Brownian Motion players spent their summer at Stanford University. When they returned, they imparted