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 their knowledge of the Stanford team's offense on the Brown team and turned B-Mo into a successful squad. While certainly not dominating the Northeast, Brown became a regional contender, returning to Regionals for the second year in a row. Brownian Motion had become a Northeastern power by this point and won a considerable number of the games it played. The 1986 and 1987 seasons saw a reasonably competitive team face some of the toughest teams in the country. The 1985-1986 season also saw beginnings of the "Fish" logo that remains the official symbol of Brownian Motion to this day, still