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 squared off against defending champions Colorado. Colorado, led by 2004 Callahan Award winner Josh "Richter" Ackley and sophomore Beau Kittredge, had had a more successful spring season than Brown, but the two teams had not yet faced each other. The night before the game, Brown's Josh Ziperstein was announced the 2005 Callahan Award winner, leading to a rare occurrence of two Callahan Award winners playing against each other in the finals. Brown defeated Colorado 15-14 in a game that featured incredible plays by both Brown and Colorado. 2005 2004 2003 2002 2001 2000 1999 1998 1996 Brownian Motion Ultimate Brownian