Brownian meander factor for the spatial axis must be square root of the scaling factor for the time axis. The process resulting from this snip-and-scale procedure is a Brownian meander. As the name suggests, it is a piece of Brownian motion that spends all its time away from its starting point formula_5. The transition density formula_12 of Brownian meander is described as follows: For formula_13 and formula_14, and writing we have and In particular, i.e. formula_19 has the Rayleigh distribution with parameter 1, the same distribution as formula_20, where formula_21 is an exponential random variable with parameter 1. Brownian meander In the
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