Brownian model of financial markets as: Note that formula_21 and formula_139 are absolutely continuous with respect to each other, i.e. they are equivalent. Also, according to Girsanov's theorem, is a formula_6-dimensional Brownian motion process on the filtration formula_146 with respect to formula_139. A complete financial market is one that allows effective hedging of the risk inherent in any investment strategy. Let formula_89 be a standard financial market, and formula_149 be an formula_140-measurable random variable, such that: The market formula_89 is said to be "complete" if every such formula_149 is "financeable", i.e. if there is an formula_155-financed portfolio process formula_156, such that its associated wealth process
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