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 players, Brown lost in the quarterfinals of every major tournament in the Spring, including Nationals. This was also the first time in four years that Brown lost Regionals as both Harper Alexander and Moses Rifkin were injured. After the disappointing 2001, 2002 was even worse for Brownian Motion. Having lost Callahan runner-up Moses Rifkin, Brown was a young class of talented players. The team began to play well in the Spring season, losing in the semis at the Stanford Invitational and winning sectionals. However, after a roster submission fiasco in the Northeast, the region had only one bid to Nationals