Brownian web is what we now call the Brownian web. Formally speaking, it is a collection of one-dimensional coalescing Brownian motions starting from every space-time point in formula_1. The fact that the Brownian web consists of an "uncountable" number of Brownian motions is what makes the construction highly non-trivial. Arratia gave a construction but was unable to prove convergence of coalescing random walks to a limiting object and characterize such a limiting object. Tóth and Werner in their study of the true self-repelling motion obtained many detailed properties of this limiting object and its dual but did not prove convergence of coalescing
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