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 Brownian Motion Ultimate Brownian Motion is the men's Ultimate team at Brown University. The team has a long, distinguished history as one of the top college Ultimate teams in the United States. Brownian Motion took home first place at the 2005 Ultimate Players Association College Championship Series in Corvallis, Oregon. Officially founded as a University organization on December 7, 1975, B-Mo (Brownian Motion's nickname) began in an effort to "rise against the challenge of other institutions," as the team's constitution reads. Like most other college Ultimate teams at the time, it consisted mostly of people who enjoyed playing frisbee, rather